New results on the stability and stabilization for singular neutral systems with time delay

Shaohua Long, Yu Zhang and Shouming Zhong

Applied Mathematics and Computation, 2024, vol. 473, issue C

Abstract: The stability issue and stabilization issue for a class of singular neutral systems are studied in this paper. Firstly, we give some sufficient conditions such that the considered open-looped systems are admissible. Secondly, we give some results which design the feedback controllers and ensure that the resulting close-looped systems are admissible. Finally, the superiority and effectiveness of the obtained methods are illustrated by two numerical examples. The results obtained in this paper can be employed to analyze the singular neutral systems which do not satisfy the restrictive conditions presented in some published papers.

Keywords: Singular system; Neutral delay; Lyapunov-Krasovskii functional; Stability; Stabilization (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:473:y:2024:i:c:s0096300324001152

DOI: 10.1016/j.amc.2024.128643

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