A quadratic stability solution for switched singular linear systems

Yu Juan Yin; Jun Zhao; Georgi M. Dimirovski; Tatyana D. Kolemisevska-Gugulovska

doi:10.23919/ecc.2009.7075038

A quadratic stability solution for switched singular linear systems

Yu Juan Yin, Jun Zhao, Georgi M. Dimirovski, Tatyana D. Kolemisevska-Gugulovska

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

Abstract

Quadratic stability for a class of switched singular linear systems is investigated. The convex combination technique of standard switched linear systems is extended to switched singular systems and a sufficient condition for quadratic stability derived. A stabilizing switching law is also designed. For a switched singular system with two subsystems this appears a necessary and sufficient condition for quadratic stability. Also, the switching law realization is discussed relative to avoiding zeno behavior. An illustrative example is given to demonstrate the validity of these new results.

Original language	English
Title of host publication	2009 European Control Conference, ECC 2009
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4072-4077
Number of pages	6
ISBN (Electronic)	9783952417393
DOIs	https://doi.org/10.23919/ecc.2009.7075038
Publication status	Published - 26 Mar 2014
Event	10th European Control Conference: ECC 2009 - Budapest, Hungary Duration: 23 Aug 2009 → 26 Aug 2009 Conference number: 10th http://ieeexplore.ieee.org/document/7074402/ http://ieeexplore.ieee.org/document/7074461/

Publication series

Name	2009 European Control Conference, ECC 2009

Conference

Conference	10th European Control Conference: ECC 2009
Abbreviated title	ECC
Country/Territory	Hungary
City	Budapest
Period	23/08/09 → 26/08/09
Internet address	http://ieeexplore.ieee.org/document/7074402/ http://ieeexplore.ieee.org/document/7074461/

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10.23919/ecc.2009.7075038

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Yin, Y. J., Zhao, J., Dimirovski, G. M., & Kolemisevska-Gugulovska, T. D. (2014). A quadratic stability solution for switched singular linear systems. In 2009 European Control Conference, ECC 2009 (pp. 4072-4077). Article 7075038 (2009 European Control Conference, ECC 2009). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ecc.2009.7075038

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title = "A quadratic stability solution for switched singular linear systems",

abstract = "Quadratic stability for a class of switched singular linear systems is investigated. The convex combination technique of standard switched linear systems is extended to switched singular systems and a sufficient condition for quadratic stability derived. A stabilizing switching law is also designed. For a switched singular system with two subsystems this appears a necessary and sufficient condition for quadratic stability. Also, the switching law realization is discussed relative to avoiding zeno behavior. An illustrative example is given to demonstrate the validity of these new results.",

author = "Yin, {Yu Juan} and Jun Zhao and Dimirovski, {Georgi M.} and Kolemisevska-Gugulovska, {Tatyana D.}",

note = "Publisher Copyright: {\textcopyright} 2009 EUCA.; 10th European Control Conference: ECC 2009, ECC ; Conference date: 23-08-2009 Through 26-08-2009",

year = "2014",

month = mar,

day = "26",

doi = "10.23919/ecc.2009.7075038",

language = "English",

series = "2009 European Control Conference, ECC 2009",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "4072--4077",

booktitle = "2009 European Control Conference, ECC 2009",

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Yin, YJ, Zhao, J, Dimirovski, GM & Kolemisevska-Gugulovska, TD 2014, A quadratic stability solution for switched singular linear systems. in 2009 European Control Conference, ECC 2009., 7075038, 2009 European Control Conference, ECC 2009, Institute of Electrical and Electronics Engineers Inc., pp. 4072-4077, 10th European Control Conference: ECC 2009, Budapest, Hungary, 23/08/09. https://doi.org/10.23919/ecc.2009.7075038

A quadratic stability solution for switched singular linear systems. / Yin, Yu Juan; Zhao, Jun; Dimirovski, Georgi M. et al.
2009 European Control Conference, ECC 2009. Institute of Electrical and Electronics Engineers Inc., 2014. p. 4072-4077 7075038 (2009 European Control Conference, ECC 2009).

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

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AU - Zhao, Jun

AU - Dimirovski, Georgi M.

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N2 - Quadratic stability for a class of switched singular linear systems is investigated. The convex combination technique of standard switched linear systems is extended to switched singular systems and a sufficient condition for quadratic stability derived. A stabilizing switching law is also designed. For a switched singular system with two subsystems this appears a necessary and sufficient condition for quadratic stability. Also, the switching law realization is discussed relative to avoiding zeno behavior. An illustrative example is given to demonstrate the validity of these new results.

AB - Quadratic stability for a class of switched singular linear systems is investigated. The convex combination technique of standard switched linear systems is extended to switched singular systems and a sufficient condition for quadratic stability derived. A stabilizing switching law is also designed. For a switched singular system with two subsystems this appears a necessary and sufficient condition for quadratic stability. Also, the switching law realization is discussed relative to avoiding zeno behavior. An illustrative example is given to demonstrate the validity of these new results.

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M3 - Conference contribution

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SP - 4072

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BT - 2009 European Control Conference, ECC 2009

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 10th European Control Conference: ECC 2009

Y2 - 23 August 2009 through 26 August 2009

ER -

A quadratic stability solution for switched singular linear systems

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