Research ArticleFurther results on stochastic admissibility for singular Markov jump systems using a dissipative constrained condition

- The stochastic admissibility analysis problem is investigated for a class of singular Markov jump delayed systems (SMJDSs).
- Main goal is to establish some conditions such that the SMJDSs are stochastically admissible and strictly (X, Y, Z)-μ-dissipative.
- Advantage of the obtained conditions is that they are not only less conservatism but also more general comparing with existing works.

In this paper, the stochastic admissibility analysis problem is investigated for a class of singular Markov jump delayed systems (SMJDSs). The purpose is to establish some conditions such that the SMJDSs are stochastically admissible and strictly (X, Y, Z)-μ-dissipative. A mode-dependent Lyapunov functional and some novel inequalities are proposed for the considered SMJDSs. Based on these, some new stochastic admissibility conditions are established. In comparison with the existing results, the advantage of the obtained conditions lies in the fact that they are not only less conservatism but also more general. Four numerical examples borrowed from some existing papers are given to demonstrate the effectiveness and the reduced conservatism of the presented method.