Some results on practical asymptotic stabilizability of switched systems

Ping Xu, Guisheng Zhai

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

6 Citations (Scopus)

Abstract

In this paper, we report some new results on practical asymptotic stabilizability of switched systems consisting of time-invariant subsystems. After formally introducing the concept of practical asymptotic stabilizability, we propose some sufficient conditions based on energy functions. We then point out that the vector fields of a switched system can be decomposed into two parts, namely, vector fields corresponding to a common equilibrium and vector fields corresponding to integrator dynamics. Such a decomposition makes it possible to study the relationship between conventional asymptotic stabilizability and practical asymptotic stabilizability of switched systems. Based on the decomposition, we present methods for estimating the region of attraction for switched affine systems.

Original languageEnglish
Title of host publicationProceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages3998-4003
Number of pages6
Volume2005
DOIs
Publication statusPublished - 2005
Externally publishedYes
Event44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville
Duration: 2005 Dec 122005 Dec 15

Other

Other44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
CitySeville
Period05/12/1205/12/15

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ASJC Scopus subject areas

  • Engineering(all)

Cite this

Xu, P., & Zhai, G. (2005). Some results on practical asymptotic stabilizability of switched systems. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (Vol. 2005, pp. 3998-4003). [1582787] https://doi.org/10.1109/CDC.2005.1582787

Some results on practical asymptotic stabilizability of switched systems. / Xu, Ping; Zhai, Guisheng.

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Vol. 2005 2005. p. 3998-4003 1582787.

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

Xu, P & Zhai, G 2005, Some results on practical asymptotic stabilizability of switched systems. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. vol. 2005, 1582787, pp. 3998-4003, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, 05/12/12. https://doi.org/10.1109/CDC.2005.1582787
Xu P, Zhai G. Some results on practical asymptotic stabilizability of switched systems. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Vol. 2005. 2005. p. 3998-4003. 1582787 https://doi.org/10.1109/CDC.2005.1582787
Xu, Ping ; Zhai, Guisheng. / Some results on practical asymptotic stabilizability of switched systems. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Vol. 2005 2005. pp. 3998-4003
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