Abstract
This paper studies the issue of dissipativity analysis for singular Markovian jump systems (SMJSs) with time-varying delays via improved state decomposition technique. Toward this aim, based on the decomposed state vectors, an improved mode-dependent augmented Lyapunov–Krasovskii functional (LKF) is established for SMJSs after decomposing SJMSs into subsystems. And the constructed augmented LKF relieves the limitation of state decomposition method by adding some single integral functionals. Then, combining the limited Bessel-Legendre integral inequality and the generalized reciprocally convex combination lemma, a less conservative condition that ensures the SMJSs to be stochastically admissible and dissipative is obtained. Finally, the advantages of the derived criterion are verified by two numerical examples.
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