Reachable set estimation for continuous delayed singularly perturbed systems with bounded disturbances

Guobao Liu, Xiangyong Chen, Zhongyu Shen, Yajuan Liu and Xianglei Jia

Applied Mathematics and Computation, 2022, vol. 416, issue C

Abstract: Reachable set estimation problem in allusion to continuous-time singularly perturbed systems that take on time-varying delays and bounded disturbances is discussed in this paper. In many singularly perturbed systems, since the perturbed parameter κ is not available, our task is to determine an ellipsoid as small as possible which can be independent on κ. In this case, for any admissible singularly perturbed parameters, this ellipsoid can surround the states of the system. First, in order to obtain more accurate result, the delay is unequally divided into two sub-intervals and a κ-dependent Lyapunov-Krasocskii functional is established. Then, with the aid of reciprocally convex inequality for each sub-interval, sufficient delay-dependent conditions are established which can make the system states contained by a κ-independent ellipsoid. Finally, a numerical example is given to verify the validity of the result.

Keywords: Singularly perturbed system; Reachable set estimation; Time-varying delay; Delay decomposition, (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:416:y:2022:i:c:s009630032100833x

DOI: 10.1016/j.amc.2021.126751

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