Uniform asymptotic stability in impulsive perturbed systems of differential equations

DOI10.1016/0377-0427(92)90237-RzbMath0759.34043MaRDI QIDQ1195406

G. K. Kulev

Publication date: 26 October 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

uniform asymptotic stabilityLyapunov's direct methodimpulsive systems with perturbations

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10)

Related Items (1)

PID controller singularly perturbing impulsive differential equations and optimal control problem

Cites Work

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• Global stability of sets for impulsive differential systems by Lyapunov's direct method
• Uniform asymptotic stability in perturbed differential equations
• Lyapunov theory and perturbation of stable and asymptotically stable systems
• On the asymptotic stability of systems with impulses by the direct method of Lyapunov
• Sufficient conditions for absence of ”beating” in systems of differential equations with impulses
• Application of lyapunov's direct method to the investigation of the global stability of the solutions of systems with impulse effect
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect

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