On the global stability of sets for impulsive differential systems by Lyapunov's direct method

DOI10.1080/02681119008806093zbMath0717.93053OpenAlexW2092322690MaRDI QIDQ5749212

D. D. Bainov, G. K. Kulev

Publication date: 1990

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119008806093

zbMATH Keywords

global asymptotic stabilityimpulsive differential systemspiecewise continuous Lyapunov functions

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Asymptotic properties of solutions to ordinary differential equations (34D05)

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On the global uniform asymptotic stability of time-varying systems

Cites Work

• Behavior of solutions near integral manifolds
• Asymptotic behavior of solutions of non-autonomous system near sets
• Sufficient conditions for absence of ”beating” in systems of differential equations with impulses
• APPLICATION OF LIAPUNOV'S FUNCTIONS FOR STUDYING THE BOUNDEDNESS OF SOLUTIONS OF SYSTEMS WITH IMPULSES
• Stability of impulsively perturbed systems
• Stability of differential systems with impulsive perturbations in terms of two measures
• Stability with respect to part of the variables in systems with impulse effect