Stability of linear impulsive differential equations

DOI10.1080/00207729008910543zbMath0706.93055OpenAlexW2072952481MaRDI QIDQ5899919

N. V. Milev, D. D. Bainov

Publication date: 1990

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729008910543

zbMATH Keywords

impulse differential equations

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Asymptotic properties of solutions to ordinary differential equations (34D05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (7)

Asymptotic behavior of impulsive differential equations ⋮ Mathematical modelling of HIV-1 transcription inhibition: a comparative study between optimal control and impulsive approach ⋮ Impulsive integro-differentiai equations and extension of lyapunov's method ⋮ Dichotomies for linear impulsive differential equations with variable structure ⋮ Exponential stability of linear impulsive differential equations ⋮ Global stability results for impulsive differential equations ⋮ Large time behavior for discontinuous dynamics on Hilbert spaces

Cites Work

• Unnamed Item
• Exponential stability of the solutions of the initial-value problem for systems with impulse effect
• 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
• 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

This page was built for publication: Stability of linear impulsive differential equations