Further results on stabilization for neutral singular Markovian jump systems with mixed interval time-varying delays

Wenbin Chen, Junwei Lu, Guangming Zhuang, Fang Gao, Zhengqiang Zhang and Shengyuan Xu

Applied Mathematics and Computation, 2022, vol. 420, issue C

Abstract: This paper focuses on the mean-square exponentially (ME) admissibility and stabilization for neutral singular Markovian jump systems (NSMJSs) with mixed interval time-varying delays. With the aid of state decomposition approach, a state decomposition Lyapunov-Krasovskii functional (LKF) is founded and some mode-dependent conditions are given to guarantee the unforced NSMJSs to be ME admissible. On this basis, a mode-dependent state feedback controller is presented. By solving the decomposition components of state feedback control parameters, the designed state feedback controller is obtained. It should be pointed out that our results complement and improve the results of the existing literatures. By two number-based examples, the advantage and availability of our methods are presented.

Keywords: Neutral singular system; Exponentially admissibility; Markovian jump systems; Mixed time-varying delays (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:420:y:2022:i:c:s009630032100967x

DOI: 10.1016/j.amc.2021.126884

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