Admissibility analysis of stochastic singular systems with Poisson switching

• Published in: Applied mathematics and computation Vol. 386; p. 125508
• Main Authors: Jiao, Ticao, Zong, Guangdeng, Pang, Guochen, Zhang, Housheng, Jiang, Jishun
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.12.2020
• Subjects: Admissibility; Poisson switching; Stochastic singular system; Admissibility; Stochastic singular system; Poisson switching
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2020.125508

•In this paper the mean square admissibility problem for a class of stochastic singular systems with Poisson switching is investigated. Compared with the existing results, a general switching, i.e., Poisson switching, is introduced to describe the switching mechanism between subsystems.•To develop some easily verifiable sufficient conditions ensuring admissibility, the approach of H -representation and matrix decomposition are applied.•Finally, some existing results are improved. This paper addresses the mean square admissibility problem for a class of stochastic singular systems with Poisson switching. By using H-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.