Robust impulsive lag synchronization of uncertain unified chaotic system with stochastic perturbation

Abstract

In this paper, an impulsive controller is designed to achieve exponentially lag synchronization for coupled uncertain unified chaotic systems with stochastic perturbation. Based on a comparison principle for stochastic impulsive systems, driveresponse concept and linear matrix inequality (LMI) approach, several easily verified and realistic sufficient conditions in terms of linear matrix inequalities are derived to guarantee exponentially lag synchronization between the drive system and response system. Moreover, the exponential decay rate has been estimated. A numerical example is provided to validate the effectiveness of the proposed scheme.

Finite-Time Synchronization of Fractional-Order Chaotic Systems with Different Structures under Stochastic Disturbances

“…For example, the signal transmission caused by random fluctuations is a disturbed process. Disturbances can be divided into parameter disturbance [28], external disturbance [29] and internal disturbance [30]. Their presence will make the system unstable and difficult to control.…”