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Citation - WoS: 12
Citation - Scopus: 12
Stability Analysis by a Nonlinear Upper Bound on the Derivative of Lyapunov Function
(Elsevier Ltd., 2020) Şahan, Gökhan
In this work, we give results for asymptotic stability of nonlinear time varying systems using Lyapunov-like Functions with indefinite derivative. We put a nonlinear upper bound for the derivation of the Lyapunov Function and relate the asymptotic stability conditions with the coefficients of the terms of this bound. We also present a useful expression for a commonly used integral and this connects the stability problem and Lyapunov Method with the convergency of a series generated by coefficients of upper bound. This generalizes many works in the literature. Numerical examples demonstrate the efficiency of the given approach. © 2020 European Control Association

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