Lag synchronization of nonlinear dynamical systems via asymmetric saturated impulsive control

Hongjuan Wu, Chuandong Li, Zhilong He, Yinuo Wang and Yingying He

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

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.

Keywords: Nonlinear dynamical system; Asymmetric saturation; Impulsive control; Lag synchronization; Domain of attraction (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921006445

DOI: 10.1016/j.chaos.2021.111290

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