Finite-time stochastic synchronization of dynamic networks with nonlinear coupling strength via quantized intermittent control

Ya Zhou, Xiaoxiao Wan, Chuangxia Huang and Xinsong Yang

Applied Mathematics and Computation, 2020, vol. 376, issue C

Abstract: This paper considers the finite-time synchronization of dynamic networks with nonlinear coupling strength and stochastic perturbations by using intermittent control. Since it is difficult to estimate the settling-time due to the uncertain intermittent intervals, a novel lemma is established. Then, two quantized intermittent controllers without chattering are designed, which can reduce the control cost and save channel resources. T-S fuzzy method is utilized to deal with the nonlinear coupling strength. By using Lyapunov direct method, sufficient conditions formulated by linear matrix inequalities (LMIs) are derived to ensure that the considered system can realize finite-time synchronization. Moreover, the control gains are designed. Two numerical simulations are given to show the merits of theoretical analysis.

Keywords: Finite-time technique; Intermittent control; Synchronization of coupled networks; Stochastic perturbation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:376:y:2020:i:c:s0096300320301260

DOI: 10.1016/j.amc.2020.125157

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