Sufficient conditions for stability of periodic linear impulsive delay systems

DOI10.1134/S0005117918110048zbMath1406.93242OpenAlexW2900602347MaRDI QIDQ1717044

Cemil Tunç, Vitalii I. Slyn'ko

Publication date: 5 February 2019

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117918110048

zbMATH Keywords

Lyapunov functionLyapunov stabilityFloquet-Lyapunov theorylinear periodic impulsive delay system

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Ordinary differential equations with impulses (34A37) Asymptotic stability in control theory (93D20)

Related Items (1)

On the asymptotic stability of solutions of nonlinear delay differential equations

Cites Work

• On the stability of invariant sets of systems with impulse effect
• Stability analysis of impulsive functional differential equations
• Stability criterion of linear systems with delay and two-periodic impulse excitation
• Application of Lyapunov's direct method to the study of the stability of solutions to systems of impulsive differential equations
• A stability criterion for autonomous linear time-lagged systems subject to periodic impulsive force
• Investigating stability using nonlinear quasihomogeneous approximation to differential equations with impulsive action
• Stability Conditions for Linear Impulsive Systems with Delay
• Stability Criteria for Quasilinear Impulsive Systems
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