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New reliable nonuniform sampling control for uncertain chaotic neural networks under Markov switching topologies

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  • Shi, Kaibo
  • Wang, Jun
  • Zhong, Shouming
  • Zhang, Xiaojun
  • Liu, Yajuan
  • Cheng, Jun

Abstract

This paper studies the stochastic exponential synchronization problem for uncertain chaotic neural networks (UCNNs) with probabilistic faults (PFs) and randomly occurring time-varying parameters uncertainties(ROTVPUs). To reflect more realistic control behaviors, a new stochastic reliable nonuniform sampling controller with Markov switching topologies is designed for the first time. First, by taking into full account more information on sawtooth structural sampling pattern, time delay and its variation, a novel loose-looped Lyapunov–Krasovskii functional (LLLKF) is developed via introducing matrices-refined-function and adjustable parameters. Second, with the aid of novel LLLKF and relaxed Wirtinger-based integral inequality (RWBII), new synchronization algorithms are established to guarantee that UCNNs are synchronous exponentially under probabilistic actuator and sensor faults. Third, based on the proposed optimization algorithm, the desired reliable sampled-data controller can be achieved under more larger exponential decay rate. Finally, two numerical examples are given to illustrate the effectiveness and advantages of the designed algorithms.

Suggested Citation

  • Shi, Kaibo & Wang, Jun & Zhong, Shouming & Zhang, Xiaojun & Liu, Yajuan & Cheng, Jun, 2019. "New reliable nonuniform sampling control for uncertain chaotic neural networks under Markov switching topologies," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 169-193.
    • Handle: RePEc:eee:apmaco:v:347:y:2019:i:c:p:169-193
    DOI: 10.1016/j.amc.2018.11.011
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    References listed on IDEAS

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    Cited by:

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    5. Li, Xiaoqing & Nguang, Sing Kiong & She, Kun & Cheng, Jun & Zhong, Shouming, 2021. "Resilient controller synthesis for Markovian jump systems with probabilistic faults and gain fluctuations under stochastic sampling operational mechanism," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    6. Zhang, Chunmei & Yang, Yinghui, 2020. "Synchronization of stochastic multi-weighted complex networks with Lévy noise based on graph theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    7. Wu, Zhenyu & Chen, Jiawei & Zhang, Xuexi & Xiao, Zehui & Tao, Jie & Wang, Xiaofeng, 2022. "Dynamic event-triggered synchronization of complex networks with switching topologies: Asynchronous observer-based case," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    8. Peng, Zhinan & Hu, Jiangping & Shi, Kaibo & Luo, Rui & Huang, Rui & Ghosh, Bijoy Kumar & Huang, Jiuke, 2020. "A novel optimal bipartite consensus control scheme for unknown multi-agent systems via model-free reinforcement learning," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    9. Wang, Xuelian & Xia, Jianwei & Wang, Jing & Wang, Jian & Wang, Zhen, 2019. "Passive state estimation for fuzzy jumping neural networks with fading channels based on the hidden Markov model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    10. Jian, Long & Hu, Jiangping & Wang, Jun & Shi, Kaibo, 2019. "Observer-based output feedback distributed event-triggered control for linear multi-agent systems under general directed graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    11. Li, Min & Huang, Qinzhen, 2019. "Non-fragile passive control for Markovian jump systems with time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    12. Wu, Tao & Cao, Jinde & Xiong, Lianglin & Zhang, Haiyang & Shu, Jinlong, 2022. "Sampled-data synchronization criteria for Markovian jumping neural networks with additive time-varying delays using new techniques," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    13. Chen, Yonghui & Zhang, Xian & Xue, Yu, 2022. "Global exponential synchronization of high-order quaternion Hopfield neural networks with unbounded distributed delays and time-varying discrete delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 173-189.
    14. Zhang, Zhiming & Zheng, Wei & Lam, H.K. & Wen, Shuhuan & Sun, Fuchun & Xie, Ping, 2020. "Stability analysis and output feedback control for stochastic networked systems with multiple communication delays and nonlinearities using fuzzy control technique," Applied Mathematics and Computation, Elsevier, vol. 386(C).
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