Improved results on reachable set estimation of singular systems

Liang Zhang, Zhiguang Feng, Zhengyi Jiang, Ning Zhao and Yang Yang

Applied Mathematics and Computation, 2020, vol. 385, issue C

Abstract: This paper investigates the problem of reachable set estimation for a general class of continuous-time singular linear systems with time-varying delay. By employing a new Lyapunov functional candidate, a criterion with the help of linear matrix inequalities (LMIs) is developed utilizing the new inequality scaling method, free-weighting matrix and the time-delay segmentation method. The reachable set of the underlying system is bounded by the intersection of ellipsoids. The effectiveness of our results are demonstrated by the examples.

Keywords: Singular system; Inequality scaling method; Reachable set; Time-delay (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:385:y:2020:i:c:s0096300320303805

DOI: 10.1016/j.amc.2020.125419

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