Stability by the linear approximation for discrete equations

DOI10.1016/j.laa.2011.02.020zbMath1214.93087OpenAlexW2093776395MaRDI QIDQ541939

Aleksander Nawrat, Adam Czornik

Publication date: 8 June 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.02.020

zbMATH Keywords

stabilitytime-varying systemslinearizationLyapunov exponentsdifference equation

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Linearizations (93B18) Asymptotic stability in control theory (93D20)

Related Items (4)

Which functions may be the upper Bohl function of the diagonal discrete linear time-varying systems? ⋮ What types of functions may be the lower Bohl function of a diagonal discrete linear time-varying systems? ⋮ Theoretical and numerical analysis of the Landau-Khalatnikov model of ferroelectric hysteresis ⋮ On the number of upper Bohl exponents for diagonal discrete time-varying linear system

Cites Work

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• Stability theory and Lyapunov regularity
• On the regularity of discrete linear systems
• Exponential stability by the linear approximation
• The converse of the theorem on stability by the first approximation for difference equations.
• Exponential stability of nonautonomous linear differential equations with linear perturbations by Liao methods
• Criteria of Stability for Continuous-Time Switched Systems by Using Liao-Type Exponents
• On the stability of time-varying differential equations^*

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