Abstract
This paper investigates the stochastic admissibility of time-delay singular Markovian jump systems (SMJSs). A new asymmetric Lyapunov–Krasovskii functional (LKF) is built to obtain new sufficient conditions for ensuring stochastic admissibility. The merits of our method are that we remove the positive definite constraint of some matrix variables to reduce the conservativeness. Finally, a numerical example is provided to verify the less conservativeness of our result.
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