Some results on practical asymptotic stabilizability of switched systems

Ping Xu; Guisheng Zhai

doi:10.1109/CDC.2005.1582787

Some results on practical asymptotic stabilizability of switched systems

Ping Xu, Guisheng Zhai

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

7 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 language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages	3998-4003
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2005.1582787
Publication status	Published - 2005
Externally published	Yes
Event	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: 2005 Dec 12 → 2005 Dec 15

Publication series

Name	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume	2005

Conference

Conference	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Country/Territory	Spain
City	Seville
Period	05/12/12 → 05/12/15

ASJC Scopus subject areas

Engineering(all)

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10.1109/CDC.2005.1582787

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

Research output: Chapter in Book/Report/Conference proceeding › Conference 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., 1582787, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, pp. 3998-4003, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, Spain, 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. 2005. p. 3998-4003. 1582787. (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05). doi: 10.1109/CDC.2005.1582787

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Some results on practical asymptotic stabilizability of switched systems

Abstract

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