A result on the existence of quadratic Lyapunov functions for state-dependent switched systems with uncertainty

Christopher K. King; Wynita M. Griggs; Robert N. Shorten

doi:10.1109/CDC.2010.5717197

A result on the existence of quadratic Lyapunov functions for state-dependent switched systems with uncertainty

Christopher K. King, Wynita M. Griggs, Robert N. Shorten

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other

4 Citations (Scopus)

Abstract

Recent results on quadratic stability of state-dependent switched linear systems are reviewed and applied to the problem of state-dependent switching with parameter uncertainty. Several examples are provided to illustrate the method, both as a means of determining stability of such systems, and also as a tool for designing stable switched systems in the presence of uncertainty.

Original language	English
Title of host publication	2010 49th IEEE Conference on Decision and Control, CDC 2010
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	7339-7344
Number of pages	6
ISBN (Print)	9781424477456
DOIs	https://doi.org/10.1109/CDC.2010.5717197
Publication status	Published - 2010
Externally published	Yes
Event	IEEE Conference on Decision and Control 2010 - Atlanta, United States of America Duration: 15 Dec 2010 → 17 Dec 2010 Conference number: 49th https://ieeexplore.ieee.org/xpl/conhome/5707200/proceeding (Proceedings)

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0191-2216

Conference

Conference	IEEE Conference on Decision and Control 2010
Abbreviated title	CDC 2010
Country/Territory	United States of America
City	Atlanta
Period	15/12/10 → 17/12/10
Internet address	https://ieeexplore.ieee.org/xpl/conhome/5707200/proceeding (Proceedings)

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10.1109/CDC.2010.5717197

Cite this

King, C. K., Griggs, W. M., & Shorten, R. N. (2010). A result on the existence of quadratic Lyapunov functions for state-dependent switched systems with uncertainty. In 2010 49th IEEE Conference on Decision and Control, CDC 2010 (pp. 7339-7344). (Proceedings of the IEEE Conference on Decision and Control). IEEE, Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2010.5717197

King, Christopher K. ; Griggs, Wynita M. ; Shorten, Robert N. / A result on the existence of quadratic Lyapunov functions for state-dependent switched systems with uncertainty. 2010 49th IEEE Conference on Decision and Control, CDC 2010. IEEE, Institute of Electrical and Electronics Engineers, 2010. pp. 7339-7344 (Proceedings of the IEEE Conference on Decision and Control).

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title = "A result on the existence of quadratic Lyapunov functions for state-dependent switched systems with uncertainty",

abstract = "Recent results on quadratic stability of state-dependent switched linear systems are reviewed and applied to the problem of state-dependent switching with parameter uncertainty. Several examples are provided to illustrate the method, both as a means of determining stability of such systems, and also as a tool for designing stable switched systems in the presence of uncertainty.",

author = "King, {Christopher K.} and Griggs, {Wynita M.} and Shorten, {Robert N.}",

year = "2010",

doi = "10.1109/CDC.2010.5717197",

language = "English",

isbn = "9781424477456",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "IEEE, Institute of Electrical and Electronics Engineers",

pages = "7339--7344",

booktitle = "2010 49th IEEE Conference on Decision and Control, CDC 2010",

address = "United States of America",

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}

King, CK, Griggs, WM & Shorten, RN 2010, A result on the existence of quadratic Lyapunov functions for state-dependent switched systems with uncertainty. in 2010 49th IEEE Conference on Decision and Control, CDC 2010. Proceedings of the IEEE Conference on Decision and Control, IEEE, Institute of Electrical and Electronics Engineers, pp. 7339-7344, IEEE Conference on Decision and Control 2010, Atlanta, Georgia, United States of America, 15/12/10. https://doi.org/10.1109/CDC.2010.5717197

A result on the existence of quadratic Lyapunov functions for state-dependent switched systems with uncertainty. / King, Christopher K.; Griggs, Wynita M.; Shorten, Robert N.
2010 49th IEEE Conference on Decision and Control, CDC 2010. IEEE, Institute of Electrical and Electronics Engineers, 2010. p. 7339-7344 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other

TY - GEN

T1 - A result on the existence of quadratic Lyapunov functions for state-dependent switched systems with uncertainty

AU - King, Christopher K.

AU - Griggs, Wynita M.

AU - Shorten, Robert N.

N1 - Conference code: 49th

PY - 2010

Y1 - 2010

N2 - Recent results on quadratic stability of state-dependent switched linear systems are reviewed and applied to the problem of state-dependent switching with parameter uncertainty. Several examples are provided to illustrate the method, both as a means of determining stability of such systems, and also as a tool for designing stable switched systems in the presence of uncertainty.

AB - Recent results on quadratic stability of state-dependent switched linear systems are reviewed and applied to the problem of state-dependent switching with parameter uncertainty. Several examples are provided to illustrate the method, both as a means of determining stability of such systems, and also as a tool for designing stable switched systems in the presence of uncertainty.

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U2 - 10.1109/CDC.2010.5717197

DO - 10.1109/CDC.2010.5717197

M3 - Conference Paper

AN - SCOPUS:79953137807

SN - 9781424477456

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 7339

EP - 7344

BT - 2010 49th IEEE Conference on Decision and Control, CDC 2010

PB - IEEE, Institute of Electrical and Electronics Engineers

T2 - IEEE Conference on Decision and Control 2010

Y2 - 15 December 2010 through 17 December 2010

ER -

King CK, Griggs WM, Shorten RN. A result on the existence of quadratic Lyapunov functions for state-dependent switched systems with uncertainty. In 2010 49th IEEE Conference on Decision and Control, CDC 2010. IEEE, Institute of Electrical and Electronics Engineers. 2010. p. 7339-7344. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2010.5717197

A result on the existence of quadratic Lyapunov functions for state-dependent switched systems with uncertainty

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