On uniform global asymptotic stability nonlinear discrete-time systems

T. C. Lee, Zhong-Ping Jiang

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

Abstract

The paper presents new characterizations of the uniform global asymptotic stability (UGAS) for nonlinear and time-varying discrete-time systems. Under mild assumptions, it is shown that weak zero-state detectability (WZSD) is equivalent to UGAS for globally uniformly stable systems. On the other hand, WZSD is further simplified by employing the notion of reduced limiting systems. Then, a second characterization of UGAS is proposed in terms of the detectability condition of the reduced limiting systems associated with the original system. As a result, we derive a generalized, discrete-time version of the well-known Krasovskii-LaSalle theorem but for time-varying, not necessarily periodic, systems.

Original languageEnglish (US)
Title of host publicationProceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages6585-6590
Number of pages6
Volume2005
DOIs
StatePublished - 2005
Event44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain
Duration: Dec 12 2005Dec 15 2005

Other

Other44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
CountrySpain
CitySeville
Period12/12/0512/15/05

Fingerprint

Asymptotic stability
Time varying systems

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Lee, T. C., & Jiang, Z-P. (2005). On uniform global asymptotic stability nonlinear discrete-time systems. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (Vol. 2005, pp. 6585-6590). [1583219] https://doi.org/10.1109/CDC.2005.1583219

On uniform global asymptotic stability nonlinear discrete-time systems. / Lee, T. C.; Jiang, Zhong-Ping.

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Vol. 2005 2005. p. 6585-6590 1583219.

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

Lee, TC & Jiang, Z-P 2005, On uniform global asymptotic stability nonlinear discrete-time systems. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. vol. 2005, 1583219, pp. 6585-6590, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1583219
Lee TC, Jiang Z-P. On uniform global asymptotic stability nonlinear discrete-time systems. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Vol. 2005. 2005. p. 6585-6590. 1583219 https://doi.org/10.1109/CDC.2005.1583219
Lee, T. C. ; Jiang, Zhong-Ping. / On uniform global asymptotic stability nonlinear discrete-time systems. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Vol. 2005 2005. pp. 6585-6590
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