Global h-synchronization of stochastic delayed high-order inertial neural networks subject to Markovian jump parameters
As a first exploration, this paper proposed the second-order response system (SORS) method to study the global h-synchronization (SGhS) for high-order stochastic delayed inertial neural networks subject to Markovian jumping parameters. Different from previous studies, this paper avoids reducing the...
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| Published in | Journal of the Franklin Institute Vol. 360; no. 4; pp. 2848 - 2866 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Inc
01.03.2023
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| Online Access | Get full text |
| ISSN | 0016-0032 1879-2693 |
| DOI | 10.1016/j.jfranklin.2023.01.019 |
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| Abstract | As a first exploration, this paper proposed the second-order response system (SORS) method to study the global h-synchronization (SGhS) for high-order stochastic delayed inertial neural networks subject to Markovian jumping parameters. Different from previous studies, this paper avoids reducing the order of the original drive system via substitution of variables, and directly gives the corresponding SORS. In the following, under the framework of the SORS method, a regulation function dependent Lyapunov–Krasovskii functional (RFD–LKF) is designed to realize that the considered dynamics are globally mean square h-synchronous. Particularly worth mentioning is that the method proposed in this paper can greatly reduce the amount of calculation and control cost. Ultimately, via a typical example, the superiority and validity of the derived h-synchronous criterion can be well demonstrated. |
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| AbstractList | As a first exploration, this paper proposed the second-order response system (SORS) method to study the global h-synchronization (SGhS) for high-order stochastic delayed inertial neural networks subject to Markovian jumping parameters. Different from previous studies, this paper avoids reducing the order of the original drive system via substitution of variables, and directly gives the corresponding SORS. In the following, under the framework of the SORS method, a regulation function dependent Lyapunov–Krasovskii functional (RFD–LKF) is designed to realize that the considered dynamics are globally mean square h-synchronous. Particularly worth mentioning is that the method proposed in this paper can greatly reduce the amount of calculation and control cost. Ultimately, via a typical example, the superiority and validity of the derived h-synchronous criterion can be well demonstrated. |
| Author | Zhang, Xian Wang, Junlan Yang, Xiaona Wang, Xin |
| Author_xml | – sequence: 1 givenname: Junlan surname: Wang fullname: Wang, Junlan organization: School of Mathematical Science, Heilongjiang University, Harbin 150080, PR China – sequence: 2 givenname: Xian orcidid: 0000-0001-7023-7351 surname: Zhang fullname: Zhang, Xian email: xianzhang@hlju.edu.cn organization: School of Mathematical Science, Heilongjiang University, Harbin 150080, PR China – sequence: 3 givenname: Xin surname: Wang fullname: Wang, Xin email: xinwang@hlju.edu.cn organization: School of Mathematical Science, Heilongjiang University, Harbin 150080, PR China – sequence: 4 givenname: Xiaona surname: Yang fullname: Yang, Xiaona email: yangxiaona3533@163.com organization: School of Mathematical Science, Heilongjiang University, Harbin 150080, PR China |
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