Parameter-dependent robust stability for uncertain Markovian jump systems with time delay

Hongyi Li, Q. Zhou, B. Chen, Honghai Liu

Research output: Contribution to journalArticlepeer-review


In this paper, the problem of parameter-dependent robust stability analysis is addressed for uncertain Markovian jump linear systems (MJLSs) with polytopic parameter uncertainties and time-varying delay. By constructing parameter-dependent Lyapunov functional, some sufficient conditions are developed to enable robust exponential mean square stability for the systems. New parameter-dependent robust stability criteria for MJLSs are established in the form of linear matrix inequalities (LMIs), which can be solved efficiently by the interior-point algorithm. Finally, a numerical example is given to demonstrate the effectiveness of the proposed approach.
Original languageEnglish
Pages (from-to)738-748
Number of pages11
JournalJournal of The Franklin Institute
Issue number4
Publication statusPublished - May 2011


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