Stability Analysis For Switched Neutral Systems

For the past several years, Stability study and H∞performance analysis of switched neutral systems have acquired more attentions in control theory. In the actual operation, among the subsystem and the controller, it should be take into account that inevitably exist asynchronous switching. Up to now, most of the actual literature involved to stability of switched systems concentrated on Lyapunov asymptotic stability. To the best of the authors’ knowledge, little work has been completed for the finite-time stability of switched neutral systems under the asynchronous switch. In this dissertation, based on the research results at present, sufficient conditions for finite-time stable under asynchronous switching state feedback controller of switched neutral systems are derived by multiple Lyapunov functional, the average dwell time approach and LMIs technology. Then, we develop the finite-time H∞performance analysis for nonlinear switched neutral systems. And the dominating results are concluded as follows:In the second section, finite-time stability of switched neutral systems is addressed. Based on Lyapunov stability theory, this dissertation mainly investigates the finite-stability analysis and state feedback controller of corresponding switched neutral systems is presented, then a sufficient condition is given to guarantee that the closed-loop system is robust finite-time stability.In the third section, we extend the systems of the chapter two to nonlinear switched neutral systems. The finite-time stability of neutral systems with nonlinear perturbations is investigated. By using the methods of LMI, the sufficient conditions that finite-time stable via asynchronous switching state feedback controller of switched neutral systems is presented. The numerical examples have been supplied to demonstrate the effectiveness and applicability of the results presented in this chapter.