Admissibility analysis of stochastic singular systems with Poisson switching

Ticao Jiao, Guangdeng Zong, Guochen Pang, Housheng Zhang and Jishun Jiang

Applied Mathematics and Computation, 2020, vol. 386, issue C

Abstract: 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.

Keywords: Stochastic singular system; Admissibility; Poisson switching (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:386:y:2020:i:c:s0096300320304665

DOI: 10.1016/j.amc.2020.125508

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