Stability analysis of linear systems with interval time-varying delays utilizing multiple integral inequalities

É. Gyurkovics, G. Szabó-Varga and K. Kiss

Applied Mathematics and Computation, 2017, vol. 311, issue C, 164-177

Abstract: This paper is devoted to stability analysis of continuous-time delay systems with interval time-varying delays having known bounds on the delay derivatives. A parameterized family of Lyapunov–Krasovskii functionals involving multiple integral terms is introduced, and novel multiple integral inequalities are utilized to derive sufficient stability condition for systems with time-varying delays. The efficiency of the proposed method is illustrated by numerical examples.

Keywords: Time-delay system; Time-varying delay; Integral inequalities; Stability analysis; Linear matrix inequality (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:311:y:2017:i:c:p:164-177

DOI: 10.1016/j.amc.2017.05.004

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