Non-fragile delay feedback control for neutral stochastic Markovian jump systems with time-varying delays

Guangming Zhuang, Shengyuan Xu, Jianwei Xia, Qian Ma and Zhengqiang Zhang

Applied Mathematics and Computation, 2019, vol. 355, issue C, 21-32

Abstract: This paper is concerned with the problem of non-fragile delay feedback control for neutral stochastic Markovian jump systems (NSMJSs) with time-varying delays. The main aim is to design non-fragile and mode-dependent delay feedback controller (DFC) both in the drift part and in the diffusion part to realize closed-loop NSMJS is stochastically stable. By constructing mode-dependent and delay-dependent comprehensive Lyapunov-Krasovskii functional, the stabilization conditions are provided in terms of linear matrix inequalities (LMIs). Simulation examples including a lossless transmission line model (LTLM) are utilized to verify the validity and usefulness of the proposed method.

Keywords: Delay feedback control; Non-fragility; Neutral stochastic systems; Markovian jump systems; Time-varying delays (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:355:y:2019:i:c:p:21-32

DOI: 10.1016/j.amc.2019.02.057

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