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Synchronization for stochastic large-scale systems via intermittent delay discrete observation control

Author

Listed:
  • Xu, Dongsheng
  • Xu, Jianju
  • He, Xiaojing
  • Su, Huan

Abstract

This paper proposes a novel intermittent delay discrete observation control for synchronization of stochastic large-scale systems (LSs) with semi-Markov jump. Different from the existing intermittent delay control, our proposed control strategy is based on discrete-time state observations rather than continuous-time state observations during the work time. And by applying the method of average control rate, the control strategy becomes more practical. Then we establish a lower conservative differential inequality, which is significantly conducive to analyze the synchronization of LSs with multiple delays. Based on the generalized Halanay-type inequality, Lyapunov method and stochastic analysis techniques, several sufficient conditions are derived. Finally, we apply the theoretical results to Chua’s circuit with numerical examples being given.

Suggested Citation

  • Xu, Dongsheng & Xu, Jianju & He, Xiaojing & Su, Huan, 2023. "Synchronization for stochastic large-scale systems via intermittent delay discrete observation control," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    • Handle: RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923011773
    DOI: 10.1016/j.chaos.2023.114275
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    References listed on IDEAS

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    1. Cai, Shuiming & Hou, Meiyuan, 2021. "Quasi-synchronization of fractional-order heterogeneous dynamical networks via aperiodic intermittent pinning control," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
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