Asymptotic stability of nonautonomous systems by Liapunov's direct method

DOI10.1016/0167-6911(94)00088-DzbMath0877.93115OpenAlexW2011683715MaRDI QIDQ673058

Dirk Aeyels

Publication date: 28 February 1997

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(94)00088-d

zbMATH Keywords

time-varying systemsAsymptotic stabilityLiapunov's direct methodNonautonomous differential equations

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Model systems in control theory (93C99)

Related Items (10)

ON A FUNCTIONAL LASALLE PRINCIPLE WITH APPLICATION TO CHAOS SYNCHRONIZATION ⋮ Lyapunov functions for time-varying systems satisfying generalized conditions of Matrosov theorem ⋮ On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives ⋮ Asymptotic stability for time-variant systems and observability: Uniform and nonuniform criteria ⋮ Numerical determination of the basin of attraction for asymptotically autonomous dynamical systems ⋮ A sufficient condition for asymptotic stability for a class of time-varying parameterized systems ⋮ Generalized Lyapunov method for discontinuous systems ⋮ Asymptotic stability of nonautonomous systems by Liapunov's direct method ⋮ Unnamed Item ⋮ Growth conditions for exponential stability of time-varying perturbed systems

Cites Work

• Asymptotic stability of nonautonomous systems by Liapunov's direct method
• Stability theory by Liapunov's direct method
• Stability of nonautonomous systems
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