New synchronization schemes for delayed chaotic neural networks with impulses

Abstract

This paper considers the exponential synchronization problem for chaotic neural networks with mixed delays and impulsive effects. The mixed delays include time-varying delays and unbounded distributed delays. Some delay-dependent schemes are designed to guarantee the exponential synchronization of the addressed systems by constructing suitable Lyapunov–Krasovskii functional and employing stability theory. The synchronization conditions are given in terms of LMIs, which can be easily checked via MATLAB LMI toolbox. Moreover, the synchronization conditions obtained are mild and more general than previously known criteria. Finally, two numerical examples and their simulations are given to show the effectiveness of the proposed chaos synchronization schemes.