Impulsive Synchronization of Delayed Chaotic Neural Networks With Actuator Saturation

Tiedong Ma,Jiamin Zhang,Zhili Xiong,Zhengle Zhang

doi:10.1109/access.2020.3038320

Abstract

This article focuses on the impulsive synchronization of chaotic neural networks (CNNs) with time-varying delays subject to actuator saturation. By constructing discontinuous Lyapunov function and employing linear matrix inequality (LMI) approach, some sufficient conditions are derived to guarantee the synchronization object of the delayed chaotic neural networks. In addition, the control methods in this article have no strict requirements on the size of time delay and the actuator saturation domain, which is more flexible and practical in real system. Finally, a numerical example is given to verify the effectiveness of the proposed method.

Highlights

Over that last few decades, the research on chaos synchronization has become research hotspots from foreign and domestic scholars in various perspectives, such as information technique, secure communication, biological science, and so forth [1]
In [41], the time-delayed impulsive control for discretetime dynamical systems with actuator saturation was discussed, some new sufficient criteria were derived by impulsive differential inequality techniques and convex analysis method
The master-slave synchronization goal can be obtained for choosing suitable control gain γik ∈ and impulsive interval τk = tk+1 − tk

Summary

INTRODUCTION

Over that last few decades, the research on chaos synchronization has become research hotspots from foreign and domestic scholars in various perspectives, such as information technique, secure communication, biological science, and so forth [1]. In [37], the synchronization of fractional order chaotic systems with impulsive control approach was discussed, and both control gain error and actuator saturation were considered simultaneously. In [41], the time-delayed impulsive control for discretetime dynamical systems with actuator saturation was discussed, some new sufficient criteria were derived by impulsive differential inequality techniques and convex analysis method. By Lyapunov analysis method, linear matrix inequality (LMI) and impulsive control system theory, some new sufficient criteria on impulsive synchronization or stabilization of DCNNs with actuator saturation are derived, which is more effective and rigorous in actual control systems.

PROBLEM DESCRIPTION

SIMULATION RESULTS

CONCLUSION