Stabilization for hybrid stochastic systems by aperiodically intermittent control. (February 2021)

• Record Type: Journal Article
• Authors: Shen, Guangjun; Xiao, Ruidong; Yin, Xiuwei; Zhang, Jinhong
• Is Part Of: Nonlinear analysis. Volume 39(2021)
• Publication Date: 2021-02
• Subjects: Stochastic differential equations -- Markovian switching -- Exponential stability -- Aperiodically intermittent control -- Hopfield neural network; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2020.100990
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this paper, the mean-square exponential stabilization for stochastic differential equations with Markovian switching is studied. Specifically, a new set of sufficient conditions is derived to obtain the aperiodically intermittent control design which exponentially stabilizes the addressed hybrid stochastic differential equations. Further, stabilization problem by periodically intermittent control can be deduced as a special case from the developed results. As an application, we consider the Hopfield neutral network model with simulations to illustrate the effectiveness of developed aperiodically intermittent control design.