Reachable set bounding for linear systems with mixed delays and state constraints

Ruihan Chen, Moxuan Guo, Song Zhu, Yongqiang Qi, Min Wang and Junhao Hu

Applied Mathematics and Computation, 2022, vol. 425, issue C

Abstract: This paper studies the reachable set estimation for systems with mixed delays and state constraints. Firstly, by constructing an appropriate maximal Lyapunov–Krasovskii functional, combined with the wirtinger-based integral inequality and the extended reciprocally convex combination method, we derive a new criterion about reachable set estimation which reduces the related decision variables without increasing the computational burden. Then, the results are extended to polytopic uncertainties systems and we consider the condition of uncertain differentiable parameters. Three examples are presented to demonstrate the validity of our theorems.

Keywords: Reachable set; Lyapunov–Krasovskii functional; Mixed delays systems (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:425:y:2022:i:c:s0096300322001692

DOI: 10.1016/j.amc.2022.127085

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