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Exponential Synchronization of Coupled Neural Networks with Hybrid Delays and Stochastic Distributed Delayed Impulses

Author

Listed:
  • Gang Zhang

    (School of Information and Mathematics, Yangtze University, Jingzhou 434023, China)

  • Yinfang Song

    (School of Information and Mathematics, Yangtze University, Jingzhou 434023, China)

  • Xiaoyou Liu

    (School of Mathematics and Computing Sciences, Hunan University of Science and Technology, Xiangtan 411201, China)

Abstract

This paper is concerned with exponential synchronization for a class of coupled neural networks with hybrid delays and stochastic distributed delayed impulses. First of all, based on the average impulsive interval method, total probability formula and ergodic theory, several novel impulsive Halanay differential inequalities are established. Two types of stochastic impulses, i.e., stochastic distributed delayed impulses with dependent property and Markov property have been taken into account, respectively. Secondly, some criteria on exponential synchronization in the mean square of a class of coupled neural networks with stochastic distributed delayed impulses are acquired by combining the proposed lemmas and graph theory. The validity of the theoretical results is demonstrated by several numerical simulation examples.

Suggested Citation

  • Gang Zhang & Yinfang Song & Xiaoyou Liu, 2024. "Exponential Synchronization of Coupled Neural Networks with Hybrid Delays and Stochastic Distributed Delayed Impulses," Mathematics, MDPI, vol. 12(13), pages 1-22, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:13:p:1995-:d:1424170
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    References listed on IDEAS

    as
    1. Zhang, Lei & Liu, Jing, 2020. "Exponential synchronization for delayed coupled systems on networks via graph-theoretic method and periodically intermittent control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    2. Li, Ping & Cao, Jinde & Wang, Zidong, 2007. "Robust impulsive synchronization of coupled delayed neural networks with uncertainties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 261-272.
    3. Fang, Qi & Wang, Mingzhu & Li, Xiaodi, 2023. "Event-triggered distributed delayed impulsive control for nonlinear systems with applications to complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
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