Indefinite derivative Lyapunov–Krasovskii functional method for input to state stability of nonlinear systems with time-delay

Chongyang Ning, Yong He, Min Wu and Shaowu Zhou

Applied Mathematics and Computation, 2015, vol. 270, issue C, 534-542

Abstract: In this paper, the problem of the input to state stability (ISS) for nonlinear systems with time-delay is investigated. A continuously differentiable Lyapunov–Krasovskii functional with indefinite derivative is introduced to derive the ISS of the systems, which generalizes the classic Lyapunov–Krasovskii functional with positive definite derivative. As a result, the uniform stability and uniform asymptotic stability criteria of nonlinear systems with time-delay are also established by employing the proposed Lyapunov–Krasovskii functional.

Keywords: Input to state stability (ISS); Uniform stability; Uniform asymptotic stability; Indefinite Lyapunov–Krasovskii functional (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:534-542

DOI: 10.1016/j.amc.2015.08.063

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