Estimation of reachable set for switched singular systems with time-varying delay and state jump

Zhiguang Feng, Xinyue Zhang, James Lam and Chenchen Fan

Applied Mathematics and Computation, 2023, vol. 456, issue C

Abstract: This paper addresses the estimation problem of the reachable set for switched singular systems with state jump under initial condition and bounded peak disturbance. The aim is to determine a bounded set that contains all reachable states. Initially, a state jump lemma is presented for switched singular systems. Then, a new bounding lemma is shown by analyzing the variation of piecewise continuous functional in subintervals and referencing the definition of the average dwell-time. Afterwards, using lemmas and linear matrix inequalities, sufficient conditions are derived for switched singular systems with and without time-varying delay, which ensure that the state trajectory of the system remains within a closed bounded set. Finally, the obtained results are validated through numerical examples.

Keywords: Reachable set; Switched systems; Singular systems; State jump; Time-varying delay (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:456:y:2023:i:c:s0096300323003016

DOI: 10.1016/j.amc.2023.128132

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