Second method of Lyapunov and comparison principle for systems with impulse effect

DOI10.1016/0377-0427(88)90004-0zbMath0729.93052OpenAlexW1979849817MaRDI QIDQ807553

G. K. Kulev, D. D. Bainov

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0377-0427(88)90004-0

zbMATH Keywords

systems with impulse effect

Mathematics Subject Classification ID

Sampled-data control/observation systems (93C57) Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11) Differential inequalities involving functions of a single real variable (34A40)

Related Items

Instability of solutions of impulsive systems of differential equations, A class of vector Lyapunov functions for stability analysis of nonlinear impulsive differential systems, Stability of linear impulsive differential equations, Stability of the solutions of impulsive integro-differential equations in terms of two measures

Cites Work

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• An extension of Lyapunov's direct method
• Application of lyapunov's direct method to the investigation of the global stability of the solutions of systems with impulse effect
• APPLICATION OF LIAPUNOV'S FUNCTIONS FOR STUDYING THE BOUNDEDNESS OF SOLUTIONS OF SYSTEMS WITH IMPULSES
• Stability of impulsively perturbed systems
• On the stability of impulsively perturbed differential 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