Control And Synchronization For A Class Of Uncertain Chaotic Time-delayed Systems

In this thesis, the control and synchronization of uncertain time-delay chaotic systems are investigated deeply based on Lyapunov function and Linear Matrix In-equalities (LMIs) techniques. The main contributions are as follows:Firstly, the approach to the feedback control for uncertain chaotic systems is pre-sented and the sufficient condition is given. It is shown that the sufficient conditions can be cast as solving a set of LMIs which is numerically feasible with commercially available software such as Matlab.Secondly, the sufficient condition to the feedback control for uncertain chaotic error systems is given. Furthermore, for the case when the nonlinear function is only bounded, we deduce the corresponding condition with Comparison Theorem.Thirdly, time delay is considered. The methods of feedback control and syn-chronization for uncertain time-delay chaotic systems are presented and the sufficient conditions are given. It is shown that the sufficient conditions can be cast as solving a set of LMIs which is numerically feasible with Matlab LMI toolbox.Finally, several examples are proposed to demonstrate the flexibility of the devel-oped approaches.