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

Authors


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

E-mail: yangshujie@163.com

SUMMARY

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.

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