On passivity of delayed Markovian jump systems subject to parametric uncertainties

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 delay-dependent conditions that guarantee the pa...

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Bibliographic Details
Published in2010 IEEE International Symposium on Circuits and Systems (ISCAS) pp. 2299 - 2302
Main Authors Baoyong Zhang, Wei Xing Zheng
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.05.2010
Subjects
Australia
Automation
Circuit synthesis
Delay effects
Delay systems
Linear matrix inequalities
Mathematics
Network synthesis
Time varying systems
Uncertainty
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ISBN1424453089
9781424453085
ISSN0271-4302
DOI10.1109/ISCAS.2010.5537068

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Summary: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 delay-dependent 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.
ISBN:1424453089
9781424453085
ISSN:0271-4302
DOI:10.1109/ISCAS.2010.5537068