Abstract
This paper focuses on the delay-dependent stability problem for a kind of time-delay Markovian jump systems (MJSs) with partial information on transition probabilities. With a view to obtaining the less conservatism result, an augmented Lyapunov-Krasovskii functional (ALKF) is constructed. Considering the relationship among time-varying delay, its upper and their difference, the delay interval is partitioned into two variable segments [0, d(t)] and (d(t), h], Jensen inequality and extended Wirtinger's inequality are used to estimate the lower bounds of single integral terms, in the meantime, improved reciprocally convex approach is applied to handle the arising fractions with the information of time-varying delay. As a result, the improved delay-dependent stability criterion is derived. Finally, numerical examples are provided to verify the effectiveness of the proposed method and improve performance of time-dealy MJSs in terms of maximum delay bounds.
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