Hierarchical extended least squares estimation approaches for a multi-input multi-output stochastic system with colored noise from observation data
•The hierarchical identification principle is used to study the problem of parameter identification.•A recursive extended least squares (RELS) algorithm and a decomposition-based recursive extended least squares (D-RELS) algorithm are derived.•The RELS algorithm and D-RELS algorithm can give accurat...
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| Published in | Journal of the Franklin Institute Vol. 357; no. 15; pp. 11094 - 11110 |
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| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elmsford
Elsevier Ltd
01.10.2020
Elsevier Science Ltd |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0016-0032 1879-2693 0016-0032 |
| DOI | 10.1016/j.jfranklin.2020.08.045 |
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| Abstract | •The hierarchical identification principle is used to study the problem of parameter identification.•A recursive extended least squares (RELS) algorithm and a decomposition-based recursive extended least squares (D-RELS) algorithm are derived.•The RELS algorithm and D-RELS algorithm can give accurate parameter estimates for the finite data length.•The D-RELS algorithm requires less computational cost than the RELS algorithm.
This paper uses the hierarchical identification principle to decompose a multi-input multi-output equation-error moving average system into two subsystems, and then proposes a decomposition-based recursive extended least squares (D-RELS) algorithm (i.e., hierarchical extended least squares algorithm) to estimate the parameter matrices of these two subsystems. Before that, a recursive extended least squares (RELS) algorithm is presented as a comparison. By analyzing the estimation results and the calculation amount, these two algorithms can estimate the system parameters effectively but the D-RELS algorithm has less computational cost than the RELS algorithm. The proposed D-RELS algorithm is extended to multi-input multi-output equation-error autoregressive moving average systems. The numerical simulation results demonstrate the effectiveness of the proposed algorithms. |
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| AbstractList | •The hierarchical identification principle is used to study the problem of parameter identification.•A recursive extended least squares (RELS) algorithm and a decomposition-based recursive extended least squares (D-RELS) algorithm are derived.•The RELS algorithm and D-RELS algorithm can give accurate parameter estimates for the finite data length.•The D-RELS algorithm requires less computational cost than the RELS algorithm.
This paper uses the hierarchical identification principle to decompose a multi-input multi-output equation-error moving average system into two subsystems, and then proposes a decomposition-based recursive extended least squares (D-RELS) algorithm (i.e., hierarchical extended least squares algorithm) to estimate the parameter matrices of these two subsystems. Before that, a recursive extended least squares (RELS) algorithm is presented as a comparison. By analyzing the estimation results and the calculation amount, these two algorithms can estimate the system parameters effectively but the D-RELS algorithm has less computational cost than the RELS algorithm. The proposed D-RELS algorithm is extended to multi-input multi-output equation-error autoregressive moving average systems. The numerical simulation results demonstrate the effectiveness of the proposed algorithms. This paper uses the hierarchical identification principle to decompose a multi-input multi-output equation-error moving average system into two subsystems, and then proposes a decomposition-based recursive extended least squares (D-RELS) algorithm (i.e., hierarchical extended least squares algorithm) to estimate the parameter matrices of these two subsystems. Before that, a recursive extended least squares (RELS) algorithm is presented as a comparison. By analyzing the estimation results and the calculation amount, these two algorithms can estimate the system parameters effectively but the D-RELS algorithm has less computational cost than the RELS algorithm. The proposed D-RELS algorithm is extended to multi-input multi-output equation-error autoregressive moving average systems. The numerical simulation results demonstrate the effectiveness of the proposed algorithms. |
| Author | Zhang, Xiao Ding, Feng Zhan, Xi-Sheng Alsaedi, Ahmed Hayat, Tasawar Lu, Xian |
| Author_xml | – sequence: 1 givenname: Feng surname: Ding fullname: Ding, Feng email: fding@jiangnan.edu.cn organization: Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, PR China – sequence: 2 givenname: Xiao surname: Zhang fullname: Zhang, Xiao organization: Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, PR China – sequence: 3 givenname: Xian surname: Lu fullname: Lu, Xian organization: Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, PR China – sequence: 4 givenname: Xi-Sheng surname: Zhan fullname: Zhan, Xi-Sheng organization: College of Mechatronics and Control Engineering, Hubei Normal University, Huangshi 435002, PR China – sequence: 5 givenname: Ahmed surname: Alsaedi fullname: Alsaedi, Ahmed organization: Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia – sequence: 6 givenname: Tasawar surname: Hayat fullname: Hayat, Tasawar organization: Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
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| Cites_doi | 10.1109/TCYB.2014.2328438 10.1002/rnc.4961 10.3390/rs11020149 10.1049/iet-cta.2019.0112 10.1017/asb.2014.12 10.1016/j.jfranklin.2019.04.027 10.1049/el.2020.0344 10.1109/ACCESS.2019.2960465 10.1109/TAC.2019.2957703 10.1002/rnc.4959 10.1007/s11464-013-0186-5 10.1002/tee.23061 10.1109/TVT.2019.2914936 10.1049/iet-spr.2019.0481 10.1177/1687814020924498 10.1177/1687814017730003 10.1155/2019/7403732 10.3390/math7070609 10.3390/electronics9020306 10.1016/j.jfranklin.2019.06.032 10.1016/j.ins.2018.01.029 10.1049/iet-ipr.2019.0057 10.1039/D0RA04425C 10.1016/j.spl.2011.07.022 10.1016/j.cam.2012.12.004 10.1049/iet-cta.2018.6114 10.1016/j.jfranklin.2019.01.025 10.1007/s11009-008-9109-z 10.1007/s12555-017-0482-7 10.1061/(ASCE)EY.1943-7897.0000640 10.1109/ACCESS.2019.2963560 10.3934/jimo.2015.11.1247 10.1007/s12555-018-0843-x 10.1049/cje.2017.08.024 10.1016/j.automatica.2019.108517 10.1016/j.insmatheco.2013.02.014 10.1109/TCSI.2018.2876937 10.1007/s00034-019-01261-4 10.1016/j.insmatheco.2013.09.019 10.1109/JAS.2019.1911681 10.1007/s00034-020-01356-3 10.1016/j.jfranklin.2020.03.027 10.1063/1.5085397 10.1109/ACCESS.2019.2951943 10.1007/s12555-019-0191-5 10.1049/iet-smt.2018.5482 10.1109/TCYB.2018.2799929 10.1016/j.sigpro.2018.01.012 10.1007/s11071-014-1801-7 10.1109/TVT.2019.2925903 10.3390/en12112134 10.1016/j.sigpro.2015.10.009 10.3390/en11061529 10.1109/TCYB.2017.2751558 |
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| References | Gan, Chen, Chen, Chen (bib0024) 2018; 48 Ding (bib0004) 2018 Pan, Ma, Zhang (bib0023) 2020; 14 Liu, Zou, Zhang (bib0042) 2019; 7 Yin, Wang (bib0049) 2010; 12 Li, Liu (bib0019) 2018; 147 Chang, Zhai, Fu, Xiong (bib0037) 2019; 6 Xu, Xiong, Alsaedi, Hayat (bib0059) 2018; 16 He, Chen, Xu, Harn, Wan (bib0047) 2020; 56 Cao, Sun, Xie, Wen (bib0031) 2019; 68 Yu, Ljung, Wills, Verhaegen (bib0026) 2020; 65 Ma, Pan (bib0022) 2019; 13 Cao, Wang, Liu, Li, Xie (bib0030) 2019; 68 Gan, Li, Peng (bib0018) 2015; 45 Tian, Zhang, Xiao, Zhang, Chen, Li (bib0043) 2019; 13 Dai, Xia, park, Huang, Shen (bib0011) 2019; 356 Xu, Chen, Xiong (bib0007) 2015; 79 Yin, Yuen (bib0050) 2011; 81 Yang, Chen, Li, Su (bib0060) 2019; 11 Shen, Huo, Cao, Huang (bib0012) 2019; 49 Ding, Chen, Lin, Wan (bib0027) 2019; 356 Wang, Ji, Wan, Bu (bib0017) 2019; 356 Ma, Yin, Li (bib0034) 2019 Ding (bib0001) 2013 Ding (bib0005) 2016 Li, Liu (bib0020) 2020; 18 Wan, Liu, Ding, Chen (bib0062) 2019; 7 Yin, Yuen (bib0058) 2015; 11 Xu (bib0013) 2017; 9 Chen, Gan, Chen (bib0021) 2018; 438 Yin, Yuen (bib0057) 2014; 9 Wang, Liu, Dai, Liu (bib0041) 2018; 11 Wan, Ding, Liu, Chen (bib0063) 2020; 18 Chiu, Yin (bib0054) 2005; 11 Ji, Jiang, Wan (bib0015) 2020; 357 Yu, Chen, Verhaegen (bib0025) 2019; 109 Xu, Song (bib0048) 2020; 39 Wang, Ji, Yang, Xu (bib0016) 2020; 30 Su, Li, Yang (bib0061) 2020; 8 Yin, Wen (bib0052) 2013; 245 Huang, Xia, Wang, Wei, Wang, Wang (bib0010) 2019; 355 Ding (bib0002) 2014 Ding (bib0006) 2018 Wang, Guo, Xu, Wu, Lin (bib0040) 2019; 12 Wang, Feng, Wang (bib0039) 2020; 9 Ji, Zhang, Kang, Yu (bib0014) 2020; 30 Jiang, Zada, Senel, Li (bib0053) 2019; 2019 Shen, Men, Wu, Cao, Lu (bib0009) 2019; 66 Cao, Ma, Xiao (bib0033) 2017; 26 Ma, Fu, Yang, Yang (bib0036) 2020; 146 Ma, Yin, Pang, Liu, Chen (bib0035) 2019; 7 Cao, Zhang, Wen, Li (bib0032) 2019; 29 Yin, Wen (bib0051) 2013; 53 Xu (bib0029) 2016; 120 Yin, wen (bib0055) 2013; 52 Zhou, Mei, Feng, Sun, Mei, Xu, Cao (bib0046) 2020; 10 Wu, Yue, Wang (bib0045) 2020; 14 Zhang, Zhang, Cheng, Tang (bib0044) 2020; 15 Ding, Cao, Chen (bib0028) 2020; 39 Wang, Huo, Xia, Park, Huang, Shen (bib0008) 2019; 13 Yin, Wen, Zhao (bib0056) 2014; 44 Ding (bib0003) 2017 Tang, Liu, Yang, Li, Ye, Li (bib0038) 2020; 12 Xu (10.1016/j.jfranklin.2020.08.045_bib0007) 2015; 79 Li (10.1016/j.jfranklin.2020.08.045_bib0019) 2018; 147 Wang (10.1016/j.jfranklin.2020.08.045_sbref0041) 2018; 11 Wan (10.1016/j.jfranklin.2020.08.045_bib0062) 2019; 7 Gan (10.1016/j.jfranklin.2020.08.045_bib0024) 2018; 48 Zhang (10.1016/j.jfranklin.2020.08.045_bib0044) 2020; 15 Su (10.1016/j.jfranklin.2020.08.045_bib0061) 2020; 8 Liu (10.1016/j.jfranklin.2020.08.045_bib0042) 2019; 7 Ma (10.1016/j.jfranklin.2020.08.045_bib0022) 2019; 13 Jiang (10.1016/j.jfranklin.2020.08.045_sbref0053) 2019; 2019 Ding (10.1016/j.jfranklin.2020.08.045_bib0006) 2018 Chang (10.1016/j.jfranklin.2020.08.045_bib0037) 2019; 6 Yin (10.1016/j.jfranklin.2020.08.045_bib0052) 2013; 245 Ding (10.1016/j.jfranklin.2020.08.045_bib0003) 2017 Wang (10.1016/j.jfranklin.2020.08.045_bib0016) 2020; 30 Cao (10.1016/j.jfranklin.2020.08.045_bib0033) 2017; 26 Yin (10.1016/j.jfranklin.2020.08.045_bib0050) 2011; 81 Tang (10.1016/j.jfranklin.2020.08.045_sbref0038) 2020; 12 Yin (10.1016/j.jfranklin.2020.08.045_bib0049) 2010; 12 Ding (10.1016/j.jfranklin.2020.08.045_bib0002) 2014 Xu (10.1016/j.jfranklin.2020.08.045_bib0013) 2017; 9 Ji (10.1016/j.jfranklin.2020.08.045_bib0014) 2020; 30 Shen (10.1016/j.jfranklin.2020.08.045_bib0012) 2019; 49 Ding (10.1016/j.jfranklin.2020.08.045_bib0005) 2016 Cao (10.1016/j.jfranklin.2020.08.045_bib0030) 2019; 68 He (10.1016/j.jfranklin.2020.08.045_bib0047) 2020; 56 Chen (10.1016/j.jfranklin.2020.08.045_bib0021) 2018; 438 Ma (10.1016/j.jfranklin.2020.08.045_sbref0036) 2020; 146 Xu (10.1016/j.jfranklin.2020.08.045_bib0048) 2020; 39 Huang (10.1016/j.jfranklin.2020.08.045_bib0010) 2019; 355 Yin (10.1016/j.jfranklin.2020.08.045_bib0051) 2013; 53 Cao (10.1016/j.jfranklin.2020.08.045_bib0031) 2019; 68 Ma (10.1016/j.jfranklin.2020.08.045_bib0035) 2019; 7 Ding (10.1016/j.jfranklin.2020.08.045_bib0001) 2013 Zhou (10.1016/j.jfranklin.2020.08.045_bib0046) 2020; 10 Yu (10.1016/j.jfranklin.2020.08.045_bib0025) 2019; 109 Yin (10.1016/j.jfranklin.2020.08.045_bib0058) 2015; 11 Yin (10.1016/j.jfranklin.2020.08.045_bib0055) 2013; 52 Tian (10.1016/j.jfranklin.2020.08.045_bib0043) 2019; 13 Xu (10.1016/j.jfranklin.2020.08.045_bib0029) 2016; 120 Yin (10.1016/j.jfranklin.2020.08.045_bib0057) 2014; 9 Pan (10.1016/j.jfranklin.2020.08.045_bib0023) 2020; 14 Dai (10.1016/j.jfranklin.2020.08.045_bib0011) 2019; 356 Wu (10.1016/j.jfranklin.2020.08.045_bib0045) 2020; 14 Chiu (10.1016/j.jfranklin.2020.08.045_bib0054) 2005; 11 Yin (10.1016/j.jfranklin.2020.08.045_bib0056) 2014; 44 Wang (10.1016/j.jfranklin.2020.08.045_sbref0040) 2019; 12 Ji (10.1016/j.jfranklin.2020.08.045_bib0015) 2020; 357 Gan (10.1016/j.jfranklin.2020.08.045_bib0018) 2015; 45 Li (10.1016/j.jfranklin.2020.08.045_bib0020) 2020; 18 Wang (10.1016/j.jfranklin.2020.08.045_bib0008) 2019; 13 Wang (10.1016/j.jfranklin.2020.08.045_bib0017) 2019; 356 Yang (10.1016/j.jfranklin.2020.08.045_bib0060) 2019; 11 Shen (10.1016/j.jfranklin.2020.08.045_bib0009) 2019; 66 Ding (10.1016/j.jfranklin.2020.08.045_bib0004) 2018 Yu (10.1016/j.jfranklin.2020.08.045_bib0026) 2020; 65 Ding (10.1016/j.jfranklin.2020.08.045_bib0027) 2019; 356 Cao (10.1016/j.jfranklin.2020.08.045_sbref0032) 2019; 29 Wang (10.1016/j.jfranklin.2020.08.045_bib0039) 2020; 9 Xu (10.1016/j.jfranklin.2020.08.045_bib0059) 2018; 16 Ding (10.1016/j.jfranklin.2020.08.045_bib0028) 2020; 39 Ma (10.1016/j.jfranklin.2020.08.045_sbref0034) 2019 Wan (10.1016/j.jfranklin.2020.08.045_bib0063) 2020; 18 |
| References_xml | – volume: 81 start-page: 1841 year: 2011 end-page: 1846 ident: bib0050 article-title: Optimality of the threshold dividend strategy for the compound poisson model publication-title: Stat. Probab. Lett. – year: 2018 ident: bib0004 article-title: System Identification - Iterative Search Principle and Identification Methods – volume: 48 start-page: 2866 year: 2018 end-page: 2874 ident: bib0024 article-title: On some separated algorithms for separable nonlinear squares problems publication-title: IEEE Trans. Cybern. – volume: 39 start-page: 4198 year: 2020 end-page: 4224 ident: bib0048 article-title: A recursive parameter estimation algorithm for modeling signals with multi-frequencies publication-title: Circuits Syst. Signal Process. – volume: 11 year: 2018 ident: bib0041 article-title: Novel method for identifying fault location of mixed lines publication-title: Energies – volume: 45 start-page: 462 year: 2015 end-page: 471 ident: bib0018 article-title: A variable projection approach for efficient estimation of RBF-ARX model publication-title: IEEE Trans. Cybern. – volume: 44 start-page: 635 year: 2014 end-page: 651 ident: bib0056 article-title: On the optimal dividend problem for a spectrally positive levy process publication-title: Astin Bull. – year: 2019 ident: bib0034 article-title: Start-up process modelling of sediment microbial fuel cells based on data driven publication-title: Math. Probl. Eng. – volume: 12 year: 2020 ident: bib0038 article-title: Joint design and torque feedback experiment of rehabilitation robot publication-title: Adv. Mech. Eng. – volume: 6 start-page: 1116 year: 2019 end-page: 1126 ident: bib0037 article-title: Quadratic stabilization of switched uncertain linear systems: a convex combination approach publication-title: IEEE-CAA J. Autom. Sin. – volume: 120 start-page: 660 year: 2016 end-page: 667 ident: bib0029 article-title: The damping iterative parameter identification method for dynamical systems based on the sine signal measurement publication-title: Signal Process. – volume: 7 year: 2019 ident: bib0062 article-title: Decomposition least-squares-based iterative identification algorithms for multivariable equation-error autoregressive moving average systems publication-title: Mathematics – volume: 68 start-page: 7544 year: 2019 end-page: 7551 ident: bib0031 article-title: Fault diagnosis of train plug door based on a hybrid criterion for IMFs selection and fractional wavelet package energy entropy publication-title: IEEE Trans. Veh. Technol. – year: 2018 ident: bib0006 article-title: Modern Control Theory – volume: 18 start-page: 1581 year: 2020 end-page: 1592 ident: bib0020 article-title: Maximum likelihood least squares based iterative estimation for a class of bilinear systems using the data filtering technique publication-title: Int. J. Control Autom. Syst. – volume: 245 start-page: 30 year: 2013 end-page: 52 ident: bib0052 article-title: Exit problems for jump processes with applications to dividend problems publication-title: J. Comput. Appl. Math. – volume: 68 start-page: 6331 year: 2019 end-page: 6342 ident: bib0030 article-title: Bio-inspired speed curve optimization and sliding mode tracking control for subway trains publication-title: IEEE Trans. Veh. Technol. – volume: 7 start-page: 185977 year: 2019 end-page: 185990 ident: bib0042 article-title: Energy disaggregation of appliances consumptions using ham approach publication-title: IEEE Access – year: 2014 ident: bib0002 article-title: System Identification - Performances Analysis for Identification Methods – volume: 9 start-page: 1453 year: 2014 end-page: 1471 ident: bib0057 article-title: Exact joint laws associated with spectrally negative levy processes and applications to insurance risk theory publication-title: Front. Math. China – volume: 8 start-page: 8768 year: 2020 end-page: 8782 ident: bib0061 article-title: Dietary composition perception algorithm using social robot audition for Mandarin Chinese publication-title: IEEE Access – volume: 66 start-page: 1130 year: 2019 end-page: 1140 ident: bib0009 article-title: Network-based quantized control for fuzzy singularly perturbed semi-markov jump systems and its application publication-title: IEEE Trans. Circuits Syst.–I: Regul. Pap. – volume: 13 start-page: 2114 year: 2019 end-page: 2121 ident: bib0008 article-title: Generalised dissipative asynchronous output feedback control for markov jump repeated scalar non-linear systems with time-varying delay publication-title: IET Control Theory Appl. – volume: 355 start-page: 198 year: 2019 end-page: 212 ident: bib0010 article-title: Mixed h-infinity/l2-l-infinity state estimation for switched genetic regulatory networks subject to packet dropouts: a persistent dwell-time switching mechanism publication-title: Appl. Math. Comput. – volume: 356 start-page: 2395 year: 2019 end-page: 2420 ident: bib0011 article-title: Asynchronous dissipative filtering for markov jump discrete-time systems subject to randomly occurring distributed delays publication-title: J. Frankl. Inst. – volume: 109 start-page: 108517 year: 2019 ident: bib0025 article-title: Subspace identification of individual systems in a large-scale heterogeneous network publication-title: Automatica – volume: 146 year: 2020 ident: bib0036 article-title: Control strategy for adaptive active energy harvesting in sediment microbial fuel cells publication-title: J. Energy Eng. – volume: 356 start-page: 10102 year: 2019 end-page: 10122 ident: bib0017 article-title: Hierarchical recursive generalized extended least squares estimation algorithms for a class of nonlinear stochastic systems with colored noise publication-title: J. Frankl. Inst. – year: 2013 ident: bib0001 article-title: System Identification - New Theory and Methods – volume: 12 start-page: 391 year: 2010 end-page: 413 ident: bib0049 article-title: The perturbed compound poisson risk process with investment and debit interest publication-title: Methodol. Comput. Appl. Probab. – volume: 13 start-page: 3040 year: 2019 end-page: 3051 ident: bib0022 article-title: Partially-coupled least squares based iterative parameter estimation for multi-variable output-error-like autoregressive moving average systems publication-title: IET Control Theory Appl. – volume: 7 start-page: 162036 year: 2019 end-page: 162049 ident: bib0035 article-title: A data-driven based framework of model optimization and neural network modeling for microbial fuel cells publication-title: IEEE Access – volume: 11 start-page: 1247 year: 2015 end-page: 1262 ident: bib0058 article-title: Optimal dividend problems for a jump-diffusion model with capital injections and proportional transaction costs publication-title: J. Ind. Manag. Optim. – volume: 9 start-page: 306 year: 2020 ident: bib0039 article-title: Bidirectional short-circuit current blocker for DC microgrid based on solid-state circuit breaker publication-title: Electronics – volume: 12 year: 2019 ident: bib0040 article-title: Hybrid model predictive control strategy of supercapacitor energy storage system based on double active bridge publication-title: Energies – volume: 56 start-page: 803 year: 2020 end-page: 806 ident: bib0047 article-title: A reliable and efficient PUF-based cryptographic key generator using bit self-tests publication-title: Electron. Lett. – volume: 438 start-page: 46 year: 2018 end-page: 57 ident: bib0021 article-title: Generalized exponential autoregressive models for nonlinear time series: Stationarity, estimation and applications publication-title: Inf. Sci. – volume: 49 start-page: 1292 year: 2019 end-page: 1301 ident: bib0012 article-title: Generalized state estimation for markovian coupled networks under round-robin protocol and redundant channels publication-title: IEEE Trans. Cybern. – volume: 11 start-page: 511 year: 2005 end-page: 522 ident: bib0054 article-title: Passage times for a spectrally negative levy process with applications to risk theory publication-title: Bernoulli – volume: 53 start-page: 769 year: 2013 end-page: 773 ident: bib0051 article-title: Optimal dividend problem with a terminal value for spectrally positive levy processes publication-title: Insur. Math. Econ. – year: 2017 ident: bib0003 article-title: System Identification - Auxiliary Model Identification Idea and Methods – volume: 2019 year: 2019 ident: bib0053 article-title: Synchronization of bidirectional n-coupled fractional-order chaotic systems with ring connection based on antisymmetric structure publication-title: Adv. Diff. Eq. – volume: 79 start-page: 2155 year: 2015 end-page: 2163 ident: bib0007 article-title: Parameter estimation and controller design for dynamic systems from the step responses based on the newton iteration publication-title: Nonlinear Dyn. – volume: 14 start-page: 455 year: 2020 end-page: 466 ident: bib0023 article-title: Recursive coupled projection algorithms for multivariable output-error-like systems with coloured noises publication-title: IET Signal Process. – volume: 52 start-page: 469 year: 2013 end-page: 476 ident: bib0055 article-title: An extension of paulsen-gjessing’s risk model with stochastic return on investments publication-title: Insur. Math. Econ. – volume: 13 start-page: 1225 year: 2019 end-page: 1230 ident: bib0043 article-title: Application of c6f12o/CO2 mixture in 10 kv medium-voltage switchgear publication-title: IET Sci. Meas. Technol. – volume: 29 year: 2019 ident: bib0032 article-title: Research on dynamic nonlinear input prediction of fault diagnosis based on fractional differential operator equation in high-speed train control system publication-title: Chaos – volume: 30 start-page: 3607 year: 2020 end-page: 3623 ident: bib0016 article-title: Decomposition-based multiinnovation gradient identification algorithms for a special bilinear system based on its input-output representation publication-title: Int. J. Robust Nonlinear Control – volume: 15 start-page: 340 year: 2020 end-page: 345 ident: bib0044 article-title: Ladder-wise calculation method for z-coordinate of transformer PD source based on planar layout UHF antenna sensors publication-title: IEEJ Trans. Electr. Electron. Eng. – volume: 18 start-page: 780 year: 2020 end-page: 790 ident: bib0063 article-title: A new iterative least squares parameter estimation approach for equation-error autoregressive systems publication-title: Int. J. Control Autom. Syst. – volume: 14 start-page: 1502 year: 2020 end-page: 1508 ident: bib0045 article-title: Object detection based on RGC mask r-CNN publication-title: IET Image Process. – volume: 9 year: 2017 ident: bib0013 article-title: The parameter estimation algorithms based on the dynamical response measurement data publication-title: Adv. Mech. Eng. – volume: 10 start-page: 26381 year: 2020 end-page: 26387 ident: bib0046 article-title: Effects of PEDOT:PSS:GO composite hole transport layer on the luminescence of perovskite light-emitting diodes publication-title: RSC Adv. – volume: 65 year: 2020 ident: bib0026 article-title: Constrained subspace method for the identification of structured state-space models publication-title: IEEE Trans. Autom. Control – volume: 26 start-page: 1057 year: 2017 end-page: 1063 ident: bib0033 article-title: Standard analysis for transfer delay in CTCS-3 publication-title: Chin. J. Electron. – year: 2016 ident: bib0005 article-title: System Identification - Multi-Innovation Identification Theory and Methods – volume: 16 start-page: 1756 year: 2018 end-page: 1764 ident: bib0059 article-title: Hierarchical parameter estimation for the frequency response based on the dynamical window data publication-title: Int. J. Control Autom. Syst. – volume: 356 start-page: 5521 year: 2019 end-page: 5540 ident: bib0027 article-title: Particle filtering based parameter estimation for systems with output-error type model structures publication-title: J. Frankl. Inst. – volume: 11 year: 2019 ident: bib0060 article-title: Rapid relocation method for mobile robot based on improved ORB-SLAM2 algorithm publication-title: Remote Sensing – volume: 147 start-page: 23 year: 2018 end-page: 34 ident: bib0019 article-title: The least squares based iterative algorithms for parameter estimation of a bilinear system with autoregressive noise using the data filtering technique publication-title: Signal Process. – volume: 30 start-page: 3727 year: 2020 end-page: 3752 ident: bib0014 article-title: Parameter estimation for block-oriented nonlinear systems using the key term separation publication-title: Int. J. Robust Nonlinear Control – volume: 39 start-page: 2178 year: 2020 end-page: 2192 ident: bib0028 article-title: Weighted parameter estimation for hammerstein nonlinear ARX systems publication-title: Circuits Syst. Signal Process. – volume: 357 start-page: 5019 year: 2020 end-page: 5032 ident: bib0015 article-title: Hierarchical least squares parameter estimation algorithm for two-input hammerstein finite impulse response systems publication-title: J. Frankl. Inst. – year: 2018 ident: 10.1016/j.jfranklin.2020.08.045_bib0006 – volume: 45 start-page: 462 issue: 3 year: 2015 ident: 10.1016/j.jfranklin.2020.08.045_bib0018 article-title: A variable projection approach for efficient estimation of RBF-ARX model publication-title: IEEE Trans. Cybern. doi: 10.1109/TCYB.2014.2328438 – volume: 30 start-page: 3727 issue: 9 year: 2020 ident: 10.1016/j.jfranklin.2020.08.045_bib0014 article-title: Parameter estimation for block-oriented nonlinear systems using the key term separation publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.4961 – volume: 11 issue: 2 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_bib0060 article-title: Rapid relocation method for mobile robot based on improved ORB-SLAM2 algorithm publication-title: Remote Sensing doi: 10.3390/rs11020149 – volume: 13 start-page: 3040 issue: 18 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_bib0022 article-title: Partially-coupled least squares based iterative parameter estimation for multi-variable output-error-like autoregressive moving average systems publication-title: IET Control Theory Appl. doi: 10.1049/iet-cta.2019.0112 – volume: 44 start-page: 635 issue: 3 year: 2014 ident: 10.1016/j.jfranklin.2020.08.045_bib0056 article-title: On the optimal dividend problem for a spectrally positive levy process publication-title: Astin Bull. doi: 10.1017/asb.2014.12 – volume: 356 start-page: 5521 issue: 10 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_bib0027 article-title: Particle filtering based parameter estimation for systems with output-error type model structures publication-title: J. Frankl. Inst. doi: 10.1016/j.jfranklin.2019.04.027 – volume: 56 start-page: 803 issue: 16 year: 2020 ident: 10.1016/j.jfranklin.2020.08.045_bib0047 article-title: A reliable and efficient PUF-based cryptographic key generator using bit self-tests publication-title: Electron. Lett. doi: 10.1049/el.2020.0344 – volume: 355 start-page: 198 issue: 15 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_bib0010 article-title: Mixed h-infinity/l2-l-infinity state estimation for switched genetic regulatory networks subject to packet dropouts: a persistent dwell-time switching mechanism publication-title: Appl. Math. Comput. – volume: 7 start-page: 185977 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_bib0042 article-title: Energy disaggregation of appliances consumptions using ham approach publication-title: IEEE Access doi: 10.1109/ACCESS.2019.2960465 – volume: 65 year: 2020 ident: 10.1016/j.jfranklin.2020.08.045_bib0026 article-title: Constrained subspace method for the identification of structured state-space models publication-title: IEEE Trans. Autom. Control doi: 10.1109/TAC.2019.2957703 – volume: 30 start-page: 3607 issue: 9 year: 2020 ident: 10.1016/j.jfranklin.2020.08.045_bib0016 article-title: Decomposition-based multiinnovation gradient identification algorithms for a special bilinear system based on its input-output representation publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.4959 – volume: 9 start-page: 1453 issue: 6 year: 2014 ident: 10.1016/j.jfranklin.2020.08.045_bib0057 article-title: Exact joint laws associated with spectrally negative levy processes and applications to insurance risk theory publication-title: Front. Math. China doi: 10.1007/s11464-013-0186-5 – volume: 15 start-page: 340 issue: 3 year: 2020 ident: 10.1016/j.jfranklin.2020.08.045_bib0044 article-title: Ladder-wise calculation method for z-coordinate of transformer PD source based on planar layout UHF antenna sensors publication-title: IEEJ Trans. Electr. Electron. Eng. doi: 10.1002/tee.23061 – volume: 68 start-page: 6331 issue: 7 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_bib0030 article-title: Bio-inspired speed curve optimization and sliding mode tracking control for subway trains publication-title: IEEE Trans. Veh. Technol. doi: 10.1109/TVT.2019.2914936 – volume: 14 start-page: 455 issue: 7 year: 2020 ident: 10.1016/j.jfranklin.2020.08.045_bib0023 article-title: Recursive coupled projection algorithms for multivariable output-error-like systems with coloured noises publication-title: IET Signal Process. doi: 10.1049/iet-spr.2019.0481 – volume: 12 issue: 5 year: 2020 ident: 10.1016/j.jfranklin.2020.08.045_sbref0038 article-title: Joint design and torque feedback experiment of rehabilitation robot publication-title: Adv. Mech. Eng. doi: 10.1177/1687814020924498 – volume: 9 issue: 11 year: 2017 ident: 10.1016/j.jfranklin.2020.08.045_bib0013 article-title: The parameter estimation algorithms based on the dynamical response measurement data publication-title: Adv. Mech. Eng. doi: 10.1177/1687814017730003 – year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_sbref0034 article-title: Start-up process modelling of sediment microbial fuel cells based on data driven publication-title: Math. Probl. Eng. doi: 10.1155/2019/7403732 – volume: 7 issue: 7 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_bib0062 article-title: Decomposition least-squares-based iterative identification algorithms for multivariable equation-error autoregressive moving average systems publication-title: Mathematics doi: 10.3390/math7070609 – volume: 9 start-page: 306 issue: 2 year: 2020 ident: 10.1016/j.jfranklin.2020.08.045_bib0039 article-title: Bidirectional short-circuit current blocker for DC microgrid based on solid-state circuit breaker publication-title: Electronics doi: 10.3390/electronics9020306 – volume: 356 start-page: 10102 issue: 16 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_bib0017 article-title: Hierarchical recursive generalized extended least squares estimation algorithms for a class of nonlinear stochastic systems with colored noise publication-title: J. Frankl. Inst. doi: 10.1016/j.jfranklin.2019.06.032 – volume: 438 start-page: 46 year: 2018 ident: 10.1016/j.jfranklin.2020.08.045_bib0021 article-title: Generalized exponential autoregressive models for nonlinear time series: Stationarity, estimation and applications publication-title: Inf. Sci. doi: 10.1016/j.ins.2018.01.029 – volume: 14 start-page: 1502 issue: 8 year: 2020 ident: 10.1016/j.jfranklin.2020.08.045_bib0045 article-title: Object detection based on RGC mask r-CNN publication-title: IET Image Process. doi: 10.1049/iet-ipr.2019.0057 – volume: 10 start-page: 26381 issue: 44 year: 2020 ident: 10.1016/j.jfranklin.2020.08.045_bib0046 article-title: Effects of PEDOT:PSS:GO composite hole transport layer on the luminescence of perovskite light-emitting diodes publication-title: RSC Adv. doi: 10.1039/D0RA04425C – volume: 81 start-page: 1841 issue: 12 year: 2011 ident: 10.1016/j.jfranklin.2020.08.045_bib0050 article-title: Optimality of the threshold dividend strategy for the compound poisson model publication-title: Stat. Probab. Lett. doi: 10.1016/j.spl.2011.07.022 – volume: 245 start-page: 30 year: 2013 ident: 10.1016/j.jfranklin.2020.08.045_bib0052 article-title: Exit problems for jump processes with applications to dividend problems publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2012.12.004 – volume: 13 start-page: 2114 issue: 13 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_bib0008 article-title: Generalised dissipative asynchronous output feedback control for markov jump repeated scalar non-linear systems with time-varying delay publication-title: IET Control Theory Appl. doi: 10.1049/iet-cta.2018.6114 – volume: 11 start-page: 511 issue: 3 year: 2005 ident: 10.1016/j.jfranklin.2020.08.045_bib0054 article-title: Passage times for a spectrally negative levy process with applications to risk theory publication-title: Bernoulli – volume: 356 start-page: 2395 issue: 4 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_bib0011 article-title: Asynchronous dissipative filtering for markov jump discrete-time systems subject to randomly occurring distributed delays publication-title: J. Frankl. Inst. doi: 10.1016/j.jfranklin.2019.01.025 – volume: 12 start-page: 391 issue: 3 year: 2010 ident: 10.1016/j.jfranklin.2020.08.045_bib0049 article-title: The perturbed compound poisson risk process with investment and debit interest publication-title: Methodol. Comput. Appl. Probab. doi: 10.1007/s11009-008-9109-z – volume: 16 start-page: 1756 issue: 4 year: 2018 ident: 10.1016/j.jfranklin.2020.08.045_bib0059 article-title: Hierarchical parameter estimation for the frequency response based on the dynamical window data publication-title: Int. J. Control Autom. Syst. doi: 10.1007/s12555-017-0482-7 – volume: 146 issue: 1 year: 2020 ident: 10.1016/j.jfranklin.2020.08.045_sbref0036 article-title: Control strategy for adaptive active energy harvesting in sediment microbial fuel cells publication-title: J. Energy Eng. doi: 10.1061/(ASCE)EY.1943-7897.0000640 – volume: 8 start-page: 8768 year: 2020 ident: 10.1016/j.jfranklin.2020.08.045_bib0061 article-title: Dietary composition perception algorithm using social robot audition for Mandarin Chinese publication-title: IEEE Access doi: 10.1109/ACCESS.2019.2963560 – year: 2017 ident: 10.1016/j.jfranklin.2020.08.045_bib0003 – year: 2018 ident: 10.1016/j.jfranklin.2020.08.045_bib0004 – volume: 11 start-page: 1247 issue: 4 year: 2015 ident: 10.1016/j.jfranklin.2020.08.045_bib0058 article-title: Optimal dividend problems for a jump-diffusion model with capital injections and proportional transaction costs publication-title: J. Ind. Manag. Optim. doi: 10.3934/jimo.2015.11.1247 – volume: 2019 issue: 1 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_sbref0053 article-title: Synchronization of bidirectional n-coupled fractional-order chaotic systems with ring connection based on antisymmetric structure publication-title: Adv. Diff. Eq. – year: 2016 ident: 10.1016/j.jfranklin.2020.08.045_bib0005 – volume: 18 start-page: 780 issue: 3 year: 2020 ident: 10.1016/j.jfranklin.2020.08.045_bib0063 article-title: A new iterative least squares parameter estimation approach for equation-error autoregressive systems publication-title: Int. J. Control Autom. Syst. doi: 10.1007/s12555-018-0843-x – volume: 26 start-page: 1057 issue: 5 year: 2017 ident: 10.1016/j.jfranklin.2020.08.045_bib0033 article-title: Standard analysis for transfer delay in CTCS-3 publication-title: Chin. J. Electron. doi: 10.1049/cje.2017.08.024 – volume: 109 start-page: 108517 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_bib0025 article-title: Subspace identification of individual systems in a large-scale heterogeneous network publication-title: Automatica doi: 10.1016/j.automatica.2019.108517 – year: 2013 ident: 10.1016/j.jfranklin.2020.08.045_bib0001 – volume: 52 start-page: 469 issue: 3 year: 2013 ident: 10.1016/j.jfranklin.2020.08.045_bib0055 article-title: An extension of paulsen-gjessing’s risk model with stochastic return on investments publication-title: Insur. Math. Econ. doi: 10.1016/j.insmatheco.2013.02.014 – volume: 66 start-page: 1130 issue: 3 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_bib0009 article-title: Network-based quantized control for fuzzy singularly perturbed semi-markov jump systems and its application publication-title: IEEE Trans. Circuits Syst.–I: Regul. Pap. doi: 10.1109/TCSI.2018.2876937 – volume: 39 start-page: 2178 issue: 4 year: 2020 ident: 10.1016/j.jfranklin.2020.08.045_bib0028 article-title: Weighted parameter estimation for hammerstein nonlinear ARX systems publication-title: Circuits Syst. Signal Process. doi: 10.1007/s00034-019-01261-4 – volume: 53 start-page: 769 issue: 3 year: 2013 ident: 10.1016/j.jfranklin.2020.08.045_bib0051 article-title: Optimal dividend problem with a terminal value for spectrally positive levy processes publication-title: Insur. Math. Econ. doi: 10.1016/j.insmatheco.2013.09.019 – volume: 6 start-page: 1116 issue: 5 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_bib0037 article-title: Quadratic stabilization of switched uncertain linear systems: a convex combination approach publication-title: IEEE-CAA J. Autom. Sin. doi: 10.1109/JAS.2019.1911681 – volume: 39 start-page: 4198 issue: 8 year: 2020 ident: 10.1016/j.jfranklin.2020.08.045_bib0048 article-title: A recursive parameter estimation algorithm for modeling signals with multi-frequencies publication-title: Circuits Syst. Signal Process. doi: 10.1007/s00034-020-01356-3 – volume: 357 start-page: 5019 issue: 8 year: 2020 ident: 10.1016/j.jfranklin.2020.08.045_bib0015 article-title: Hierarchical least squares parameter estimation algorithm for two-input hammerstein finite impulse response systems publication-title: J. Frankl. Inst. doi: 10.1016/j.jfranklin.2020.03.027 – year: 2014 ident: 10.1016/j.jfranklin.2020.08.045_bib0002 – volume: 29 issue: 1 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_sbref0032 article-title: Research on dynamic nonlinear input prediction of fault diagnosis based on fractional differential operator equation in high-speed train control system publication-title: Chaos doi: 10.1063/1.5085397 – volume: 7 start-page: 162036 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_bib0035 article-title: A data-driven based framework of model optimization and neural network modeling for microbial fuel cells publication-title: IEEE Access doi: 10.1109/ACCESS.2019.2951943 – volume: 18 start-page: 1581 issue: 6 year: 2020 ident: 10.1016/j.jfranklin.2020.08.045_bib0020 article-title: Maximum likelihood least squares based iterative estimation for a class of bilinear systems using the data filtering technique publication-title: Int. J. Control Autom. Syst. doi: 10.1007/s12555-019-0191-5 – volume: 13 start-page: 1225 issue: 9 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_bib0043 article-title: Application of c6f12o/CO2 mixture in 10 kv medium-voltage switchgear publication-title: IET Sci. Meas. Technol. doi: 10.1049/iet-smt.2018.5482 – volume: 49 start-page: 1292 issue: 4 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_bib0012 article-title: Generalized state estimation for markovian coupled networks under round-robin protocol and redundant channels publication-title: IEEE Trans. Cybern. doi: 10.1109/TCYB.2018.2799929 – volume: 147 start-page: 23 year: 2018 ident: 10.1016/j.jfranklin.2020.08.045_bib0019 article-title: The least squares based iterative algorithms for parameter estimation of a bilinear system with autoregressive noise using the data filtering technique publication-title: Signal Process. doi: 10.1016/j.sigpro.2018.01.012 – volume: 79 start-page: 2155 issue: 3 year: 2015 ident: 10.1016/j.jfranklin.2020.08.045_bib0007 article-title: Parameter estimation and controller design for dynamic systems from the step responses based on the newton iteration publication-title: Nonlinear Dyn. doi: 10.1007/s11071-014-1801-7 – volume: 68 start-page: 7544 issue: 8 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_bib0031 article-title: Fault diagnosis of train plug door based on a hybrid criterion for IMFs selection and fractional wavelet package energy entropy publication-title: IEEE Trans. Veh. Technol. doi: 10.1109/TVT.2019.2925903 – volume: 12 issue: 11 year: 2019 ident: 10.1016/j.jfranklin.2020.08.045_sbref0040 article-title: Hybrid model predictive control strategy of supercapacitor energy storage system based on double active bridge publication-title: Energies doi: 10.3390/en12112134 – volume: 120 start-page: 660 year: 2016 ident: 10.1016/j.jfranklin.2020.08.045_bib0029 article-title: The damping iterative parameter identification method for dynamical systems based on the sine signal measurement publication-title: Signal Process. doi: 10.1016/j.sigpro.2015.10.009 – volume: 11 issue: 6 year: 2018 ident: 10.1016/j.jfranklin.2020.08.045_sbref0041 article-title: Novel method for identifying fault location of mixed lines publication-title: Energies doi: 10.3390/en11061529 – volume: 48 start-page: 2866 issue: 10 year: 2018 ident: 10.1016/j.jfranklin.2020.08.045_bib0024 article-title: On some separated algorithms for separable nonlinear squares problems publication-title: IEEE Trans. Cybern. doi: 10.1109/TCYB.2017.2751558 |
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| Title | Hierarchical extended least squares estimation approaches for a multi-input multi-output stochastic system with colored noise from observation data |
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