Exponential estimates of singular Markovian jump time-delay systems

This paper is concerned with exponential estimates for a class of continuos-time singular Markovian jump systems with time-varying delays. By constructing a decay-rate-dependent stochastic Lyapunov-Krasovskii function and utilizing slow-fast decomposition technique, an exponential admissibility condition, which not only guarantees the regularity, non-impulsiveness and exponential stability of the system but also gives corresponding estimates of decay rate and decay coefficient, is derived in terms of linear matrix inequalities (LMIs). A numerical example is provided to illustrate the effectieness of the established results.