Impulsive Stabilization of Smooth Memristor Oscillator System with Small Time Window

Abstract

In real environment, the impulsive control signals can’t be input accurately, because there are always some input errors while realizing the stabilization of memristor-based oscillator system. Thus, it is very important to consider the small time window in the process of impulsive control. That is the occurrence of impulse in each control cycle is limited by small impulse time window. On the other hand, It is necessary to do some research on the chaotic memristor oscillator systems due to the potential applications of memristor. Based on linear matrix inequality, Lyapunov stability theory, and impulsive control with time window, the exponential stability conditions for one type of hyperchaotic smooth memristor oscillator system are displayed. Finally, simulation results show the feasibility and effectiveness of this impulsive stabilization method.