Admissibility analysis for a kind of Ito stochastic singular delayed systems

This paper is concerned with the admissibility analysis for a kind of stochastic singular delayed systems (SSDSs). Sufficient conditions for the regularity of the impulse-free solution to the SSDSs are obtained. Consequently, by formulating Lyapunov-Krasovskii functional and applying Ito formula, novel sufficient conditions for the stability of SSDSs are derived in terms of strict linear matrix inequalities (LMIs). An illustrative example is used to demonstrate the effectiveness and usefulness of the obtained results.