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

Abstract

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: In honor of Miroslav Krstic
PublisherSpringer International Publishing
Pages225-241
Number of pages17
Volume4
ISBN (Print)9783319180724, 9783319180717
DOIs
StatePublished - Jul 15 2015

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Time delay
Lyapunov methods
Lyapunov functions
Nonlinear systems

ASJC Scopus subject areas

  • Engineering(all)
  • Computer Science(all)

Cite this

Jiang, Z-P., Lin, Y., & Wang, Y. (2015). Input-to-state stability of switched systems with time delays. In Recent Results on Nonlinear Delay Control Systems: In honor of Miroslav Krstic (Vol. 4, pp. 225-241). Springer International Publishing. https://doi.org/10.1007/978-3-319-18072-4_11

Input-to-state stability of switched systems with time delays. / Jiang, Zhong-Ping; Lin, Yuandan; Wang, Yuan.

Recent Results on Nonlinear Delay Control Systems: In honor of Miroslav Krstic. Vol. 4 Springer International Publishing, 2015. p. 225-241.

Research output: Chapter in Book/Report/Conference proceedingChapter

Jiang, Z-P, Lin, Y & Wang, Y 2015, Input-to-state stability of switched systems with time delays. in Recent Results on Nonlinear Delay Control Systems: In honor of Miroslav Krstic. vol. 4, Springer International Publishing, pp. 225-241. https://doi.org/10.1007/978-3-319-18072-4_11
Jiang Z-P, Lin Y, Wang Y. Input-to-state stability of switched systems with time delays. In Recent Results on Nonlinear Delay Control Systems: In honor of Miroslav Krstic. Vol. 4. Springer International Publishing. 2015. p. 225-241 https://doi.org/10.1007/978-3-319-18072-4_11
Jiang, Zhong-Ping ; Lin, Yuandan ; Wang, Yuan. / Input-to-state stability of switched systems with time delays. Recent Results on Nonlinear Delay Control Systems: In honor of Miroslav Krstic. Vol. 4 Springer International Publishing, 2015. pp. 225-241
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