Input-to-state stability for discrete-time nonlinear impulsive systems with delays


Shujie Yang, Institute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, China.



This paper aims to study the problem of input-to-state stability (ISS) for nonlinear discrete impulsive systems with time delays. Razumikhin-type theorems, which guarantee ISS – asymptotically ISS and exponentially ISS – for the discrete impulsive ones with external disturbance inputs, are established. As applications, numerical examples are given to illustrate the effectiveness of the theoretical results. Copyright © 2011 John Wiley & Sons, Ltd.