Application of Lyapunov's direct method to the study of the stability of solutions to systems of impulsive differential equations

DOI10.1134/S0001434614070037zbMath1320.34084MaRDI QIDQ2342336

Aleksandr I. Dvirny, Vitalii I. Slyn'ko

Publication date: 11 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemimpulsive differential equationLyapunov's direct methodequilibrium state stabilityHahn function classLyapunov (asymptotic) stability

Mathematics Subject Classification ID

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

Related Items (9)

Stability conditions for impulsive dynamical systems ⋮ Robust stability of linear periodic systems ⋮ On the dynamic stability of impulsive mechanical systems with delay ⋮ Sufficient conditions for stability of periodic linear impulsive delay systems ⋮ Application of commutator calculus to the study of linear impulsive systems ⋮ Stability of abstract linear switched impulsive differential equations ⋮ Sufficient conditions for the stability of linear periodic impulsive differential equations ⋮ Conditions of stability for periodic linear systems of ordinary differential equations ⋮ Sufficient conditions of interval stability of a class of linear impulsive systems with a delay

Cites Work

• Impulsive stabilization of mechanical systems in Takagi-Sugeno models
• Stability of solutions to impulsive differential equations in critical cases
• Asymptotic stability and instability of the solutions of systems with impulse action
• On the stability of invariant sets of systems with impulse effect
• On the stability of periodic impulsive systems
• Some modern aspects of the theory of impulsive differential equations
• Stability of a Nonlinear Impulsive System
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