Finite-time input-to-state stability and optimization of switched systems

Xiaoli Wang, Yiguang Hong, Zhongping Jiang

Research output: Chapter in Book/Report/Conference proceedingConference contribution


In this paper, we address finite-time input-to-state stability (ISS) problem for switched nonlinear systems. We first show the relationship between finite-time ISS and the finite-time ISS-Lyapunov function for switched systems. Then we prove that a switched nonlinear system is finite-time ISS under average dwell-time switching signals if each constituent subsystem is finite-time ISS. Moreover, we analyze the optimal costs for a class of switched finite-time stabilizing systems and for their relaxed differential inclusions, respectively.

Original languageEnglish (US)
Title of host publicationProceedings of the 27th Chinese Control Conference, CCC
Number of pages5
StatePublished - 2008
Event27th Chinese Control Conference, CCC - Kunming, Yunnan, China
Duration: Jul 16 2008Jul 18 2008

Publication series

NameProceedings of the 27th Chinese Control Conference, CCC


Other27th Chinese Control Conference, CCC
CityKunming, Yunnan


  • Finite-time control
  • Input-to-state stability (ISS)
  • Lyapunov function
  • Switched systems

ASJC Scopus subject areas

  • Control and Systems Engineering


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