Chaos synchronization and duration time of a class of uncertain chaotic systems

This paper addresses the problem of chaos synchronization from a control theoretic point of view. The main idea is to construct an augmented dynamical system from the synchronization error system, which is itself uncertain. A new dynamic output feedback is applied to perform synchronization in spite of master/slave mismatches. In this way, the nonidentical chaotic synchronization can be attained. The advantage of this method over the existing results is that the feedback controller has a predictable synchronization delay. The synchronization time is explicitly computed. Computer simulations are provided to verify the operation of the designed synchronization algorithm.