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Exponential synchronization for delayed coupled systems on networks via graph-theoretic method and periodically intermittent control

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  • Zhang, Lei
  • Liu, Jing

Abstract

In this paper, we consider the exponential synchronization problem of delayed coupled systems on networks (DCSNs) under periodically intermittent control. Based on the graph-theoretic approach and Lyapunov function method, some easily verifiable synchronization criteria are derived in the form of Lyapunov-type theorem and coefficients-type criterion. As illustrations, the proposed theory is applied to research the exponential synchronization between two different delayed coupled oscillators on networks under periodically intermittent control. In the end, two numerical examples are presented to show the effectiveness of the theoretical results.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119320813
    DOI: 10.1016/j.physa.2019.123733
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    References listed on IDEAS

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    1. Zheng, Yongai & Chen, Guanrong, 2009. "Fuzzy impulsive control of chaotic systems based on TS fuzzy model," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 2002-2011.
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    Cited by:

    1. Lin, Hai & Wang, Jingcheng, 2022. "Pinning synchronization of complex networks with time-varying outer coupling and nonlinear multiple time-varying delay coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    2. 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.

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