Stability Of The Normal Linear Impulsive Systems

The impulsive system is a class of hybrid system, it is composed by continuous dy-namic and discrete dynamic which effect each other. It is hot issues of control field. The study of the properties and synthesis of impulsive models has been developed rapidly for years. This paper mainly discusses the stability problem of normal linear impulsive sys-tems. In chapter 1, some preliminary definitions and lemmas used later are provided and the problem we deal with and the main result of this paper is precisely stated. Chapter 2 discusses the stability problem of normal linear impulsive systems. Sufficient conditions are shown for globally exponential stabilization of normal linear impulsive systems and corresponding perturbed impulsive systems respectively, and two examples to illustrate the results are presented finally. In Chapter 3 the stability problem of normal uncertain linear impulsive systems is considered, and some results are presented.