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

Abstract

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
Pages479-483
Number of pages5
DOIs
StatePublished - Sep 30 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

Other

Other27th Chinese Control Conference, CCC
CountryChina
CityKunming, Yunnan
Period7/16/087/18/08

Keywords

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

ASJC Scopus subject areas

  • Control and Systems Engineering

Fingerprint Dive into the research topics of 'Finite-time input-to-state stability and optimization of switched systems'. Together they form a unique fingerprint.

  • Cite this

    Wang, X., Hong, Y., & Jiang, Z. (2008). Finite-time input-to-state stability and optimization of switched systems. In Proceedings of the 27th Chinese Control Conference, CCC (pp. 479-483). [4605395] (Proceedings of the 27th Chinese Control Conference, CCC). https://doi.org/10.1109/CHICC.2008.4605395