A Lyapunov Krasovskii Functional for Input-to-State Stability of Infinite-Delayed Systems

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with host publication)peer-review

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Detail(s)

Original languageEnglish
Title of host publicationProceedings of the 40th Chinese Control Conference, CCC 2021
EditorsChen Peng, Jian Sun
PublisherIEEE Computer Society
Pages391-396
ISBN (Electronic)9789881563804
ISBN (Print)9781665411950
Publication statusPublished - Jul 2021

Publication series

NameChinese Control Conference, CCC
Volume2021-July
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Title40th Chinese Control Conference (CCC 2021)
PlaceChina
CityShanghai
Period26 - 28 July 2021

Abstract

This paper mainly addresses input-to-state stability (ISS) of nonautonomous nonlinear systems with infinite delays. We provide a novel definition for ISS of infinite-delayed systems, which can be seen as an extension of the existing ISS definition. A Lyapunov Krasovskii functional is proposed for verifying ISS of infinite-delayed systems. Applying the ISS Lyapunov functional method, a link between ISS of an infinite-delayed system and the exponential stability of its corresponding zero-input system is established. It is shown that a nonlinear system with infinite delays is ISS if its corresponding zero-input system is globally exponentially stable, provided that some Lipschitz and/or Lipschitz-like conditions are satisfied. Two illustrative examples are provided to show the effectiveness of our results.

Research Area(s)

  • Infinite delays, input-to-state stability, Lyapunov Krasovskii functional, nonlinear systems

Citation Format(s)

A Lyapunov Krasovskii Functional for Input-to-State Stability of Infinite-Delayed Systems. / Xu, Xiang; Feng, Gang.
Proceedings of the 40th Chinese Control Conference, CCC 2021. ed. / Chen Peng; Jian Sun. IEEE Computer Society, 2021. p. 391-396 (Chinese Control Conference, CCC; Vol. 2021-July).

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with host publication)peer-review