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On passivity of delayed Markovian jump systems subject to parametric uncertainties

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2 Author(s)
Baoyong Zhang ; School of Automation, Nanjing University of Science and Technology, Nanjing 210094, P.R. China ; Wei Xing Zheng

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.

Published in:

Proceedings of 2010 IEEE International Symposium on Circuits and Systems

Date of Conference:

May 30 2010-June 2 2010