Admissibility analysis and passive output feedback control for one-sided Lipschitz nonlinear singular Markovian jump systems with uncertainties

Junchao Ren, Lihong Feng, Jun Fu and Tianyu Zhuang

Applied Mathematics and Computation, 2021, vol. 409, issue C

Abstract: The paper investigates admissibility analysis, the existence and uniqueness (EU) of solutions and robustly passive asynchronous static output feedback (SOF) control for one-sided Lipschitz (OSL) nonlinear singular Markovian jump systems (SMJSs) with uncertainties. Sufficient conditions are derived to guarantee that OSL nonlinear SMJSs are regular, impulse-free, stochastically stable and have a unique solution with passive performance by using implicit function theorem. With these conditions, the design of robust asynchronous SOF controller is presented in form of linear matrix inequality (LMI) constraints. Finally, an example is given to evaluate the operation of our proposed methods.

Keywords: Nonlinear singular system; Descriptor systems; Stochastic admissibility; Passive output feedback; One-sided Lipschitz; Markkovian jump system (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:409:y:2021:i:c:s009630032100494x

DOI: 10.1016/j.amc.2021.126405

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