Conditions for consensus in directed networks of agents with heterogeneous output saturation
This study addresses the consensus problem for single-integrator agents with heterogeneous output saturation. By investigating the unique achievable equilibrium and employing an integral Lyapunov function, some conditions of single-integrator agents with heterogeneous and magnitude output saturation...
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| Published in | IET control theory & applications Vol. 10; no. 16; pp. 2119 - 2127 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
The Institution of Engineering and Technology
31.10.2016
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1751-8644 1751-8652 |
| DOI | 10.1049/iet-cta.2016.0386 |
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| Abstract | This study addresses the consensus problem for single-integrator agents with heterogeneous output saturation. By investigating the unique achievable equilibrium and employing an integral Lyapunov function, some conditions of single-integrator agents with heterogeneous and magnitude output saturation are presented. The main contribution of this work is that under the directed graph with strongly connected or a spanning tree, a necessary and sufficient condition for consensus with heterogeneous and magnitude output saturation is first obtained. In addition, some properties of the unachievable consensus are discussed. Finally, simulation examples are given to show the validity of the theoretical results. |
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| AbstractList | This study addresses the consensus problem for single-integrator agents with heterogeneous output saturation. By investigating the unique achievable equilibrium and employing an integral Lyapunov function, some conditions of single-integrator agents with heterogeneous and magnitude output saturation are presented. The main contribution of this work is that under the directed graph with strongly connected or a spanning tree, a necessary and sufficient condition for consensus with heterogeneous and magnitude output saturation is first obtained. In addition, some properties of the unachievable consensus are discussed. Finally, simulation examples are given to show the validity of the theoretical results. |
| Author | Sun, Changyin Wang, Qingling |
| Author_xml | – sequence: 1 givenname: Qingling surname: Wang fullname: Wang, Qingling organization: 2Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, Nanjing, People's Republic of China – sequence: 2 givenname: Changyin surname: Sun fullname: Sun, Changyin email: cysun@seu.edu.cn organization: 2Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, Nanjing, People's Republic of China |
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| CitedBy_id | crossref_primary_10_1109_TASE_2023_3270344 crossref_primary_10_1016_j_automatica_2018_10_032 crossref_primary_10_1016_j_neucom_2018_04_002 crossref_primary_10_1109_TCYB_2019_2954955 crossref_primary_10_1016_j_neucom_2017_08_012 crossref_primary_10_1155_2017_5767495 crossref_primary_10_1007_s12555_021_0609_8 crossref_primary_10_1016_j_neucom_2017_01_087 crossref_primary_10_1109_TCYB_2019_2939732 crossref_primary_10_1049_iet_cta_2018_5459 crossref_primary_10_1109_TSMC_2019_2912980 crossref_primary_10_1016_j_jfranklin_2017_07_018 crossref_primary_10_1016_j_jfranklin_2021_03_028 crossref_primary_10_1049_iet_cta_2018_5347 crossref_primary_10_1109_TII_2022_3229138 crossref_primary_10_1002_rnc_5630 crossref_primary_10_1109_TSMC_2018_2818172 crossref_primary_10_3390_app11104345 crossref_primary_10_1177_0142331220975892 |
| Cites_doi | 10.1002/rnc.2905 10.1587/transcom.E98.B.190 10.1016/j.automatica.2010.03.006 10.1016/j.physd.2006.07.020 10.1016/j.automatica.2008.01.011 10.1109/TAC.2004.834113 10.1002/sec.864 10.1016/j.automatica.2006.02.013 10.1109/TAC.2004.834433 10.1002/rnc.3053 10.1017/CBO9781107325708 10.1109/TCSII.2015.2482138 10.1016/j.automatica.2011.06.020 10.1049/iet-cta.2009.0299 10.1007/s11071-015-2299-3 10.1049/iet-cta.2011.0033 10.1109/TAC.2012.2203214 10.1016/j.sysconle.2012.10.016 10.1016/j.sysconle.2012.05.009 10.1109/TAC.2012.2190199 10.1002/rnc.3191 10.1109/TCSI.2009.2023937 10.1007/s11277-014-1748-5 10.1109/TIE.2011.2160140 10.1016/j.automatica.2013.11.008 |
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| Keywords | single-integrator agents integral Lyapunov function heterogeneous output saturation directed graphs trees (mathematics) directed graph spanning tree consensus problem directed networks magnitude output saturation Lyapunov methods |
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Circuits Syst. (I) – volume: 25 start-page: 2083 issue: 13 year: 2015 end-page: 2100 article-title: Semi‐global leader‐following consensus of multiple linear systems with position and rate limited actuators publication-title: Int. J. Robust Nonlinear Control – volume: 57 start-page: 2869 issue: 11 year: 2012 end-page: 2874 article-title: Discarded consensus of network of agents with state constraint publication-title: IEEE Trans. Autom. Control – volume: 15 start-page: 929 issue: 6 year: 2014 end-page: 936 article-title: A variable threshold‐value authentication architecture for wireless mesh networks publication-title: J. Internet Technol. – volume: 58 start-page: 214 issue: 1 year: 2013 end-page: 218 article-title: Convergence of type‐symmetric and cut‐balanced consensus seeking systems publication-title: IEEE Trans. Autom. 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Internet Technol. – volume: 16 start-page: 171 issue: 1 year: 2015 ident: e_1_2_7_8_1 article-title: A novel routing protocol providing good transmission reliability in underwater sensor networks publication-title: J. Internet Technol. – ident: e_1_2_7_26_1 – ident: e_1_2_7_30_1 doi: 10.1109/TIE.2011.2160140 – ident: e_1_2_7_22_1 doi: 10.1016/j.automatica.2013.11.008 |
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| Snippet | This study addresses the consensus problem for single-integrator agents with heterogeneous output saturation. By investigating the unique achievable... This study addresses the consensus problem for single‐integrator agents with heterogeneous output saturation. By investigating the unique achievable... |
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| StartPage | 2119 |
| SubjectTerms | Brief Paper consensus problem Control theory directed graph directed graphs directed networks Graph theory heterogeneous output saturation integral Lyapunov function Integrals Lyapunov functions Lyapunov methods magnitude output saturation Networks Saturation Simulation single‐integrator agents spanning tree trees (mathematics) |
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| Title | Conditions for consensus in directed networks of agents with heterogeneous output saturation |
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