An asymmetric Lyapunov-Krasovskii functional and its application to stochastic admissibility analysis of time-delay singular Markovian jump systems

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.& COPY; 2023 Elsevier Ltd. All rights reserved.

Automated summary

This paper investigates the stochastic admissibility of time-delay singular Markovian jump systems (SMJSs) and proposes a new Lyapunov-Krasovskii functional (LKF) to obtain new sufficient conditions for ensuring stochastic admissibility. The proposed method reduces conservativeness by removing the positive definite constraint of some matrix variables. A numerical example is provided to verify the less conservativeness of the proposed approach.