Admissibility analysis of stochastic singular systems with Poisson switching

This paper addresses the mean square admissibility problem for a class of stochastic singular systems with Poisson switching. By using EL-representation approach, we show the equivalence between mean square admissibility and robust admissibility of a deterministic system, which is an extension of the result in the case of deterministic system [1]. Based on multiple Lyapunov functions and matrix decomposition approaches, some easily verifiable sufficient conditions without equality constraint are established and can be conveniently used to state feedback controller design. Some admissibility criteria are constructed for linear singular systems with Poisson switching. Three examples including a RLC circuit and a mass-spring-damper system are introduced to demonstrate the validity of the theoretical results. (C) 2020 Elsevier Inc. All rights reserved.