Lag synchronization of nonlinear dynamical systems via asymmetric saturated impulsive control

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. (c) 2021 Published by Elsevier Ltd.

Automated summary

An asymmetric saturated impulsive control scheme is proposed in this paper to achieve lag synchronization of two coupled dynamical systems in the master-slave pattern. Stability analysis and estimation of the domain of attraction are conducted using Lyapunov stability theory, sector nonlinearity model approach, matrix inequality, set invariance, and Schur complement. Sufficient conditions for lag synchronization of two nonlinear dynamical systems under this impulsive control scheme without actuator saturation are provided, with simulation results demonstrating the feasibility and effectiveness of the approach.