The Stability Of Several Discrete Systems

Since 1950s,the discrete-time systems theoretical research and practical application of the discrete-time systems,have been considered and made great achievements, so that discrete control systems analysis and design of control theory are important component.In this paper,we consider several types of discrete-time systems'stability.In the second chapter, the problem of robust H∞control for a class of impulsive switched systems is discussed.On the conditions of stabilization and detected,sufficient conditions of the robust stability andγperformance are given.In the third chapter,the stability of two kinds of discrete systems is analyzed.The finite-time stability of the discrete systems sufficient conditions,and sufficient conditions for the second discrete system design of the controller are presented.In the fourth chapter,for the generalized discrete time-delay systems, using Lya-punov theory and LMI approach the sufficient conditions for Luenberger observer of this type of systems are derived.Finally, a class of discrete bilinear systems of the feedback problems are ana-lyzed. Using Lyapunov theory and LaSalle invariance principle the sufficient conditions in the form of LMIs are given.