Abstract

AbstractThis paper focuses on stability and H∞ performance analysis for a class of continuous-time Markovian jump systems with unknown transition probability and time-varying delay. Based on the free-connection weighting matrix method, the less conservative stability criterion and bounded real lemma (BRL) of Markovian jump systems with time-varying delay are obtained by considering the influence of partly unknown transition probability or completely unknown transition probability. Finally, numerical examples are given to illustrate the effectiveness and the merits of the proposed method.

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