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Nonuniform Sampled‐Data Control for Synchronization of Semi‐Markovian Jump Stochastic Complex Dynamical Networks with Time‐Varying Delays

Author

Listed:
  • N. Sakthivel
  • Yong-Ki Ma
  • M. Mounika Devi
  • G. Manopriya
  • V. Vijayakumar
  • Mooyul Huh

Abstract

In this paper, the problem of exponential synchronization of semi‐Markov jump stochastic complex dynamical networks using nonuniform sampled‐data control with random delayed information exchanges among dynamical nodes are discussed. In particular, it is considered that random delayed information exchanges follow a Bernoulli distribution, in which stochastic variables are used to model randomness. To achieve exponential synchronization, we designed a nonuniform sampled‐data control approach. By constructing an appropriate Lyapunov–Krasovskii functional and using the Wirtinger inequality, sufficient criteria were obtained in terms of linear matrix inequalities. Finally, numerical examples were implemented to demonstrate the effectiveness and superiority of the proposed design techniques.

Suggested Citation

  • N. Sakthivel & Yong-Ki Ma & M. Mounika Devi & G. Manopriya & V. Vijayakumar & Mooyul Huh, 2022. "Nonuniform Sampled‐Data Control for Synchronization of Semi‐Markovian Jump Stochastic Complex Dynamical Networks with Time‐Varying Delays," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:2006947
    DOI: 10.1155/2022/2006947
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    References listed on IDEAS

    as
    1. Samir Khan & Roger Goodall & Roger Dixon, 2013. "Non-uniform sampling strategies for digital control," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(12), pages 2234-2254.
    2. Wang, Jun & Shi, Kaibo & Huang, Qinzhen & Zhong, Shouming & Zhang, Dian, 2018. "Stochastic switched sampled-data control for synchronization of delayed chaotic neural networks with packet dropout," Applied Mathematics and Computation, Elsevier, vol. 335(C), pages 211-230.
    3. Pharunyou Chanthorn & Grienggrai Rajchakit & Jenjira Thipcha & Chanikan Emharuethai & Ramalingam Sriraman & Chee Peng Lim & Raja Ramachandran, 2020. "Robust Stability of Complex-Valued Stochastic Neural Networks with Time-Varying Delays and Parameter Uncertainties," Mathematics, MDPI, vol. 8(5), pages 1-19, May.
    4. Wang, Jing & Hu, Xiaohui & Wei, Yunliang & Wang, Zhen, 2019. "Sampled-data synchronization of semi-Markov jump complex dynamical networks subject to generalized dissipativity property," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 853-864.
    5. Rathinasamy Sakthivel & Ramalingam Sakthivel & Boomipalagan Kaviarasan & Chao Wang & Yong-Ki Ma, 2018. "Finite-Time Nonfragile Synchronization of Stochastic Complex Dynamical Networks with Semi-Markov Switching Outer Coupling," Complexity, Hindawi, vol. 2018, pages 1-13, January.
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