Stability of linear impulsive differential equations

DOI10.1016/0898-1221(90)90162-DzbMath0726.34043MaRDI QIDQ5896526

N. V. Milev, D. D. Bainov

Publication date: 1990

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

uniform stabilitylinear impulsive differential equation

Mathematics Subject Classification ID

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

Related Items (2)

On stability for generalized linear differential equations and applications to impulsive systems ⋮ Stability of impulsive stochastic differential equations with Markovian switching

Cites Work

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• Second method of Lyapunov and comparison principle for systems with impulse effect
• Exponential stability of the solutions of the initial-value problem for systems with impulse effect
• Stability for impulsive differential systems in terms of two measures
• Continuous dependence of the solution of a system of differential equations with impulses on the impulse hypersurfaces
• On the stability of differential systems with respect to impulsive perturbations
• Stability criteria for impulsive differential equations in terms of two measures
• On the asymptotic stability of systems with impulses by the direct method of Lyapunov
• Application of lyapunov's direct method to the investigation of the global stability of the solutions of systems with impulse effect
• On boundedness of impulsively perturbed systems
• On quasi stability for impulsive differential systems

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