Input-to-state stability of switched systems with time delays

Zhong Ping Jiang, Yuandan Lin, Yuan Wang

Research output: Chapter in Book/Report/Conference proceedingChapter


This chapter deals with the input-to-state stability of switched nonlinear systems with time delays. The proposed results demonstrate a connection between small-gain arguments in the context of input-to-state stability and the traditional Lyapunov-Razumikhin method for switched systems. By using the notion of average dwell time, it is shown that a switching among ISS systems with compatible Lyapunov-Razumikhin functions will not destroy the stability property if the switching is not too fast on average. Particularly, it is shown that the existence of a common Razumikhin function is sufficient to guarantee input-to-state stability for time-delayed systems under arbitrary switching.

Original languageEnglish (US)
Title of host publicationRecent Results on Nonlinear Delay Control Systems
Subtitle of host publicationIn honor of Miroslav Krstic
PublisherSpringer International Publishing
Number of pages17
ISBN (Electronic)9783319180724
ISBN (Print)9783319180717
StatePublished - Jul 15 2015

ASJC Scopus subject areas

  • General Engineering
  • General Computer Science


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