Dissipativity theory for switched systems

Jun Zhao; David J. Hill

doi:10.1109/CDC.2005.1583289

Dissipativity theory for switched systems

Jun Zhao, David J. Hill

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

19 Citations (Scopus)

Abstract

A frame work of dissipativity theory for switched systems using multiple storage functions and multiple supply rates is set up. The exchange of "energy" between the activated subsystem and an inactivated subsystem is characterized by cross supply rates. Stability is reached when all supply rates are non-positive, as long as the total exchanged energy between the activated subsystem and any inactivated subsystems is finite. Passivity and L₂-gain are addressed. For both cases, asymptotic stability is guaranteed under certain "negative" output feedback. Feedback invariance of passivity and a small-gain theorem are also given.

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
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	7003-7008
Number of pages	6
ISBN (Print)	0780395689, 9780780395688
DOIs	https://doi.org/10.1109/CDC.2005.1583289
Publication status	Published - 2005
Externally published	Yes
Event	IEEE Conference on Decision and Control 2005 - Seville, Spain Duration: 12 Dec 2005 → 15 Dec 2005 Conference number: 44th https://ieeexplore.ieee.org/xpl/conhome/10559/proceeding (Proceedings)

Conference

Conference	IEEE Conference on Decision and Control 2005
Abbreviated title	CDC 2005
Country/Territory	Spain
City	Seville
Period	12/12/05 → 15/12/05
Internet address	https://ieeexplore.ieee.org/xpl/conhome/10559/proceeding (Proceedings)

Access to Document

10.1109/CDC.2005.1583289

Cite this

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title = "Dissipativity theory for switched systems",

abstract = "A frame work of dissipativity theory for switched systems using multiple storage functions and multiple supply rates is set up. The exchange of {"}energy{"} between the activated subsystem and an inactivated subsystem is characterized by cross supply rates. Stability is reached when all supply rates are non-positive, as long as the total exchanged energy between the activated subsystem and any inactivated subsystems is finite. Passivity and L2-gain are addressed. For both cases, asymptotic stability is guaranteed under certain {"}negative{"} output feedback. Feedback invariance of passivity and a small-gain theorem are also given.",

author = "Jun Zhao and Hill, {David J.}",

year = "2005",

doi = "10.1109/CDC.2005.1583289",

language = "English",

isbn = "0780395689",

pages = "7003--7008",

booktitle = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

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

address = "United States of America",

note = "IEEE Conference on Decision and Control 2005, CDC 2005 ; Conference date: 12-12-2005 Through 15-12-2005",

url = "https://ieeexplore.ieee.org/xpl/conhome/10559/proceeding",

}

Zhao, J & Hill, DJ 2005, Dissipativity theory for switched systems. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. IEEE, Institute of Electrical and Electronics Engineers, pp. 7003-7008, IEEE Conference on Decision and Control 2005, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1583289

Dissipativity theory for switched systems. / Zhao, Jun; Hill, David J.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. IEEE, Institute of Electrical and Electronics Engineers, 2005. p. 7003-7008.

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

TY - GEN

T1 - Dissipativity theory for switched systems

AU - Zhao, Jun

AU - Hill, David J.

N1 - Conference code: 44th

PY - 2005

Y1 - 2005

N2 - A frame work of dissipativity theory for switched systems using multiple storage functions and multiple supply rates is set up. The exchange of "energy" between the activated subsystem and an inactivated subsystem is characterized by cross supply rates. Stability is reached when all supply rates are non-positive, as long as the total exchanged energy between the activated subsystem and any inactivated subsystems is finite. Passivity and L2-gain are addressed. For both cases, asymptotic stability is guaranteed under certain "negative" output feedback. Feedback invariance of passivity and a small-gain theorem are also given.

AB - A frame work of dissipativity theory for switched systems using multiple storage functions and multiple supply rates is set up. The exchange of "energy" between the activated subsystem and an inactivated subsystem is characterized by cross supply rates. Stability is reached when all supply rates are non-positive, as long as the total exchanged energy between the activated subsystem and any inactivated subsystems is finite. Passivity and L2-gain are addressed. For both cases, asymptotic stability is guaranteed under certain "negative" output feedback. Feedback invariance of passivity and a small-gain theorem are also given.

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U2 - 10.1109/CDC.2005.1583289

DO - 10.1109/CDC.2005.1583289

M3 - Conference Paper

AN - SCOPUS:33847192069

SN - 0780395689

SN - 9780780395688

SP - 7003

EP - 7008

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

PB - IEEE, Institute of Electrical and Electronics Engineers

T2 - IEEE Conference on Decision and Control 2005

Y2 - 12 December 2005 through 15 December 2005

ER -

Dissipativity theory for switched systems

Abstract

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Research output

Dissipativity theory for switched systems

Cite this