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Graph-theoretic approach to synchronizing stochastic coupled systems with time-varying delays on networks via periodically intermittent control

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  • Guo, Beibei
  • Wu, Yinhu
  • Xiao, Yu
  • Zhang, Chiping

Abstract

This article concerns the inner exponential synchronization (IES) problem of a class of stochastic coupled systems with time-varying delays on networks (SCSTDNs). Periodically intermittent control is imposed on SCSTDNs to realize IES. By combining graph theory with Lyapunov method, a Lyapunov function is constructed and some sufficient conditions guaranteeing IES of SCSTDNs under periodically intermittent control are derived. Additionally, the analysis of IES for a stochastic coupled oscillators model with time-varying delays is performed to show the applicability of the analytical results. Finally, an example with numerical simulation is presented to illustrate the validity of our theoretical results.

Suggested Citation

  • Guo, Beibei & Wu, Yinhu & Xiao, Yu & Zhang, Chiping, 2018. "Graph-theoretic approach to synchronizing stochastic coupled systems with time-varying delays on networks via periodically intermittent control," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 341-357.
    • Handle: RePEc:eee:apmaco:v:331:y:2018:i:c:p:341-357
    DOI: 10.1016/j.amc.2018.03.020
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    References listed on IDEAS

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    1. Yang, Huilan & Wang, Xin & Zhong, Shouming & Shu, Lan, 2018. "Synchronization of nonlinear complex dynamical systems via delayed impulsive distributed control," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 75-85.
    2. Subramanian, K. & Muthukumar, P. & Lakshmanan, S., 2018. "State feedback synchronization control of impulsive neural networks with mixed delays and linear fractional uncertainties," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 267-281.
    3. Yi, Chengbo & Feng, Jianwen & Wang, Jingyi & Xu, Chen & Zhao, Yi, 2017. "Synchronization of delayed neural networks with hybrid coupling via partial mixed pinning impulsive control," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 78-90.
    4. Sivaranjani, K. & Rakkiyappan, R. & Cao, Jinde & Alsaedi, Ahmed, 2017. "Synchronization of nonlinear singularly perturbed complex networks with uncertain inner coupling via event triggered control," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 283-299.
    5. Yan, Zhiguo & Song, Yunxia & Liu, Xiaoping, 2018. "Finite-time stability and stabilization for Itô-type stochastic Markovian jump systems with generally uncertain transition rates," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 512-525.
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    Cited by:

    1. Guo, Beibei & Xiao, Yu, 2024. "Synchronization of multi-link and multi-delayed inertial neural networks with Markov jump via aperiodically intermittent adaptive control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 435-453.
    2. Guo, Beibei & Xiao, Yu & Zhang, Chiping & Zhao, Yong, 2020. "Graph theory-based adaptive intermittent synchronization for stochastic delayed complex networks with semi-Markov jump," Applied Mathematics and Computation, Elsevier, vol. 366(C).

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