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Finite-Time Nonfragile Dissipative Control for Discrete-Time Neural Networks with Markovian Jumps and Mixed Time-Delays

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  • Ling Hou
  • Dongyan Chen
  • Chan He

Abstract

This paper considers the stochastic finite-time dissipative (SFTD) control problem based on nonfragile controller for discrete-time neural networks (NNS) with Markovian jumps and mixed delays, in which the mode switching phenomenon, is described as Markov chain, and the mixed delays are composed of discrete time-varying delay and distributed delays. First, by selecting an appropriate Lyapunov-Krasovskii functional and applying stochastic analysis methods, some parameters-dependent sufficient conditions for solvability of stochastic finite-time boundedness are derived. Then, the main results are extended to SFTD control. Furthermore, existence condition of nonfragile controller is derived based on solution of linear matrix inequalities (LMIs). Finally, two numerical examples are employed to show the effectiveness of the obtained methods.

Suggested Citation

  • Ling Hou & Dongyan Chen & Chan He, 2019. "Finite-Time Nonfragile Dissipative Control for Discrete-Time Neural Networks with Markovian Jumps and Mixed Time-Delays," Complexity, Hindawi, vol. 2019, pages 1-17, June.
    • Handle: RePEc:hin:complx:5748923
    DOI: 10.1155/2019/5748923
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    References listed on IDEAS

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    1. Ma, Yuechao & Jia, Xiaorui & Liu, Deyou, 2016. "Robust finite-time H∞ control for discrete-time singular Markovian jump systems with time-varying delay and actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 213-227.
    2. Chen, Guici & Gao, Yu & Zhu, Shasha, 2017. "Finite-time dissipative control for stochastic interval systems with time-delay and Markovian switching," Applied Mathematics and Computation, Elsevier, vol. 310(C), pages 169-181.
    3. Hui Gao & Jianwei Xia & Guangming Zhuang & Zhen Wang & Qun Sun, 2017. "Nonfragile Finite-Time Extended Dissipative Control for a Class of Uncertain Switched Neutral Systems," Complexity, Hindawi, vol. 2017, pages 1-22, November.
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    1. Mourad Kchaou & Mohamed Amin Regaieg, 2023. "Event-Triggered Extended Dissipativity Fuzzy Filter Design for Nonlinear Markovian Switching Systems against Deception Attacks," Mathematics, MDPI, vol. 11(9), pages 1-27, April.

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