Stability criteria for impulsive systems on time scales

DOI10.1016/J.CAM.2007.01.040zbMath1142.39011OpenAlexW2052351752MaRDI QIDQ2479347

Yajun Ma, Jitao Sun

Publication date: 26 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2007.01.040

zbMATH Keywords

asymptotic stabilityLyapunov functionstime scaleimpulsive systems

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Discrete version of topics in analysis (39A12)

Related Items (7)

Stability in terms of two measures for nonlinear impulsive systems on time scales ⋮ \(\psi\)-exponential stability of nonlinear impulsive dynamic equations on time scales ⋮ Minimal nonnegative solution of nonlinear impulsive differential equations on infinite interval ⋮ Ulam stability of first-order nonlinear impulsive dynamic equations ⋮ On controllability and observability for a class of linear impulsive dynamic systems on time scales ⋮ Impulsive stabilization of dynamic equations on time scales ⋮ Robust \(H_{\infty}\) filtering for discrete-time impulsive systems with uncertainty

Cites Work

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• Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales
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• Dynamic equations on time scales: A survey
• Hybrid systems on time scales
• Stability for time varying linear dynamic systems on time scales
• Eventual practical stability of impulsive differential equations with time delay in terms of two measurements
• Stability and instability for dynamic equations on time scales
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect

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