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Title: Stability analysis by a nonlinear upper bound on the derivative of Lyapunov function
Authors: Şahan, Gökhan
Keywords: Asymptotic stability
Bellman-Gronwall inequality
Indefinite Lyapunov function
Lyapunov method
Nonlinear systems
Issue Date: 2020
Publisher: Elsevier Ltd.
Abstract: 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
ISSN: 0947-3580
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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