Comparison Principle and Stability of Discrete-Time Impulsive Hybrid Systems

This paper studies discrete-time impulsive hybrid systems. The comparison principle and uniform stability are established for discrete-time impulsive hybrid systems and this kind of systems with time delay. Moreover, the attractive regions of these kinds of systems are estimated. As theoretical applications, the comparison principle is used to study the stability problem for linear interval discrete-time impulsive hybrid systems, a class of nonlinear uncertain discrete-time impulsive hybrid systems, and affine discrete-time impulsive hybrid systems with time delay. Some examples are given to illustrate the results.