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

Dongsheng Xu, Jianju Xu, Xiaojing He and Huan Su

Chaos, Solitons & Fractals, 2023, vol. 177, issue C

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.

Keywords: Intermittent delay discrete observation control; Large-scale systems; Semi-Markov jump; Synchronization (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923011773

DOI: 10.1016/j.chaos.2023.114275

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