Approximate synchronization of two non-linear systems via impulsive control

Abstract

In this paper, the approximate synchronization problem of two non-identical non-linear systems is investigated. Based on the impulsive control method, a sufficient condition is given to guarantee the approximate synchronization. Furthermore, the optimal impulsive interval problem is studied which can reduce the cost of impulsive controller, and the maximum impulsive interval is obtained by solving a non-linear optimization problem via a mixed algorithm combining chaos optimization and linear matrix inequality method. Two different chaotic systems and two different complex dynamical networks are presented respectively to verify the effectiveness of the proposed methods.

Keywords

non-linear systems approximate synchronization impulsive control linear matrix inequality chaos optimization

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