Lag synchronization of nonlinear dynamical systems via asymmetric saturated impulsive control. (November 2021)

• Record Type: Journal Article
• Authors: Wu, Hongjuan; Li, Chuandong; He, Zhilong; Wang, Yinuo; He, Yingying
• Is Part Of: Chaos, solitons and fractals. Volume 152(2021)
• Publication Date: 2021-11
• Subjects: Nonlinear dynamical system -- Asymmetric saturation -- Impulsive control -- Lag synchronization -- Domain of attraction; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2021.111290
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: An asymmetric saturated impulsive control scheme is put forward, and then used to realize the synchronization of nonlinear dynamical systems. Communication delays between slave system and master system are considered in the impulsive dynamical system. Some conditions are found to ensure the ellipsoid, which is defined in this paper and can be taken as the estimation of the domain of attraction. And then we estimate the domain of attraction for the asymmetric saturated impulsive error system. Abstract: In this paper, an asymmetric saturated impulsive control scheme is put forward and is suggested to realize the lag synchronization of two coupled dynamical systems in the master-slave pattern. We analyze the stability and then estimate the domain of attraction of the error system between slave system and master system based on Lyapunov stability theory, sector nonlinearity model approach, matrix inequality, set invariance, Schur complement. In addition, some sufficient conditions are also given for the lag synchronization of two nonlinear dynamical systems under this impulsive control scheme without actuator saturation. Finally, simulation results for a new chaotic oscillator and a Hopfield-type dynamic neural network are presented to show the feasibility and effectiveness of the obtained results.