On the stability of linear dynamic systems on time scales

DOI10.1080/10236190802008528zbMath1172.34035OpenAlexW2148423862MaRDI QIDQ3600659

Sung Kyu Choi, Nam Jip Koo

Publication date: 5 February 2009

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190802008528

zbMATH Keywords

strong stabilitydynamic equationtime scaleadjoint systemGronwall's inequality\(u_{\infty }\)-similarity

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Additive difference equations (39A10)

Related Items (7)

Variationally stable dynamic systems on time scales ⋮ Stability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains ⋮ Uniform exponential stability of first-order dynamic equations with several delays ⋮ Stability of linear dynamic systems on time scales ⋮ On the connected stability of the large-scale systems of dynamical equations on the time scale in critical cases ⋮ STRONG STABILITY OF A NONLINEAR MULTI-STAGE DYNAMIC SYSTEM IN BATCH CULTURE OF GLYCEROL BIOCONVERSION TO 1,3-PROPANEDIOL ⋮ Stability and controllability for Volterra integro-dynamical matrix Sylvester impulsive system on time scales

Cites Work

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• Dynamic equations on time scales: A survey
• Reducibility of linear dynamic equations on measure chains
• Stability for time varying linear dynamic systems on time scales
• Linear asymptotic equilibrium and uniform, exponential, and strict stability of linear difference systems
• Asymptotic property in variation for nonlinear differential systems

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