Feedback control based on discrete-time state observations on synchronization of stochastic impulsive coupled systems. (February 2021)

• Record Type: Journal Article
• Authors: Liu, Yan; Wang, Ming; Chu, Dianhui; Su, Huan
• Is Part Of: Nonlinear analysis. Volume 39(2021)
• Publication Date: 2021-02
• Subjects: Stochastic impulsive coupled systems -- State-dependent switching topology -- Discrete-time state observations -- Chua's circuits; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2020.100987
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this paper, feedback control based on discrete-time state observations is used to study the inner synchronization of stochastic impulsive coupled systems (SICSs). Therein, the coupling strength of SICSs is state-dependent switching and time-varying under each switching. Besides, by means of average impulsive interval approach, the Lyapunov method and the graph theory, a synchronization criterion of SICSs is presented. As an application, stochastic impulsive coupled Chua's circuits with state-dependent switching coupling strength are investigated for the first time and some sufficient conditions are given. Finally, in order to illustrate the effectiveness of our main results, some numerical simulations are presented.