On passivity of delayed Markovian jump systems subject to parametric uncertainties

Baoyong Zhang; Wei Xing Zheng

On passivity of delayed Markovian jump systems subject to parametric uncertainties

Research output: Chapter in Book / Conference Paper › Conference Paper

Abstract

In this paper the problem of passivity analysis is investigated for Markovian jump time-delay systems subject to norm-bounded parametric uncertainties. A mode-dependent Lyapunov functional is introduced together with some slack variables to derive new delaydependent conditions that guarantee the passivity of uncertain Markovian jump time-delay systems. The derived passivity conditions in the form of linear matrix inequalities not only are readily checkable but also are shown to be less conservative than the existing results. The theoretical predications are justified by an illustrative example.

Original language	English
Title of host publication	Proceedings of the 43rd IEEE International Symposium on Circuits and Systems (ISCAS 2010) : Nano-Bio Circuit Fabrics and Systems, Paris France, 30 May - 2 June 2010
Publisher	IEEE Press
Pages	2299-2302
Number of pages	4
ISBN (Print)	9781424453092
Publication status	Published - 2010
Event	IEEE International Symposium on Circuits and Systems - Duration: 20 May 2012 → …

Conference

Conference	IEEE International Symposium on Circuits and Systems
Period	20/05/12 → …

Keywords

Markov processes
time delay systems

Cite this

@inproceedings{1036fa650f0b41cba62ea66ac7ab3842,

title = "On passivity of delayed Markovian jump systems subject to parametric uncertainties",

abstract = "In this paper the problem of passivity analysis is investigated for Markovian jump time-delay systems subject to norm-bounded parametric uncertainties. A mode-dependent Lyapunov functional is introduced together with some slack variables to derive new delaydependent conditions that guarantee the passivity of uncertain Markovian jump time-delay systems. The derived passivity conditions in the form of linear matrix inequalities not only are readily checkable but also are shown to be less conservative than the existing results. The theoretical predications are justified by an illustrative example.",

keywords = "Markov processes, time delay systems",

author = "Baoyong Zhang and Zheng, {Wei Xing}",

year = "2010",

language = "English",

isbn = "9781424453092",

pages = "2299--2302",

booktitle = "Proceedings of the 43rd IEEE International Symposium on Circuits and Systems (ISCAS 2010) : Nano-Bio Circuit Fabrics and Systems, Paris France, 30 May - 2 June 2010",

publisher = "IEEE Press",

note = "IEEE International Symposium on Circuits and Systems ; Conference date: 20-05-2012",

}

Zhang, B & Zheng, WX 2010, On passivity of delayed Markovian jump systems subject to parametric uncertainties. in Proceedings of the 43rd IEEE International Symposium on Circuits and Systems (ISCAS 2010) : Nano-Bio Circuit Fabrics and Systems, Paris France, 30 May - 2 June 2010. IEEE Press, pp. 2299-2302, IEEE International Symposium on Circuits and Systems, 20/05/12.

On passivity of delayed Markovian jump systems subject to parametric uncertainties. / Zhang, Baoyong; Zheng, Wei Xing.
Proceedings of the 43rd IEEE International Symposium on Circuits and Systems (ISCAS 2010) : Nano-Bio Circuit Fabrics and Systems, Paris France, 30 May - 2 June 2010. IEEE Press, 2010. p. 2299-2302.

Research output: Chapter in Book / Conference Paper › Conference Paper

TY - GEN

T1 - On passivity of delayed Markovian jump systems subject to parametric uncertainties

AU - Zhang, Baoyong

AU - Zheng, Wei Xing

PY - 2010

Y1 - 2010

N2 - In this paper the problem of passivity analysis is investigated for Markovian jump time-delay systems subject to norm-bounded parametric uncertainties. A mode-dependent Lyapunov functional is introduced together with some slack variables to derive new delaydependent conditions that guarantee the passivity of uncertain Markovian jump time-delay systems. The derived passivity conditions in the form of linear matrix inequalities not only are readily checkable but also are shown to be less conservative than the existing results. The theoretical predications are justified by an illustrative example.

AB - In this paper the problem of passivity analysis is investigated for Markovian jump time-delay systems subject to norm-bounded parametric uncertainties. A mode-dependent Lyapunov functional is introduced together with some slack variables to derive new delaydependent conditions that guarantee the passivity of uncertain Markovian jump time-delay systems. The derived passivity conditions in the form of linear matrix inequalities not only are readily checkable but also are shown to be less conservative than the existing results. The theoretical predications are justified by an illustrative example.

KW - Markov processes

KW - time delay systems

UR - http://handle.uws.edu.au:8081/1959.7/504613

M3 - Conference Paper

SN - 9781424453092

SP - 2299

EP - 2302

BT - Proceedings of the 43rd IEEE International Symposium on Circuits and Systems (ISCAS 2010) : Nano-Bio Circuit Fabrics and Systems, Paris France, 30 May - 2 June 2010

PB - IEEE Press

T2 - IEEE International Symposium on Circuits and Systems

Y2 - 20 May 2012

ER -

On passivity of delayed Markovian jump systems subject to parametric uncertainties

Abstract

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Keywords

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