Stability Problems Of The Impulsive Switched Systems

The hybird system is composed of some different dynamic behivior,It has widely practical background and important theory value of the system.Switched system and impulsive system are important types of hybird system.Recently,the research on them has attracted more and more attention and got rich results.Impulsive system means its state changes instantly.The change is usually described by state jumps.In this paper,the stability of switched systems with state jumps and stability of discrete-time switched linear singular systems with impulsive effect are mainly studied, In chapter 2,wc introduced the model of the switched system with state jumps.While sufficient and neccessary conditions of exponential stability are given,wc discuss periodically switched linear systems.Designed the mininal bound of switching periodic that kept the global asymptotical stability of the system.Then we study the stability properties of switched systems consisting of unstable subsystems.At last the model of perturbed impulsive switched systems are given,and the stability of system is investigated by using average dwell time approach.In chapter 3,A new class of discrete-time switched linear singular svstems with impulsive effects is introduced by using dwell time and average dwell time approaches.A sufficient condition of exponential stability is presented.