On exponential stability for linear discrete-time systems in Banach spaces

DOI10.1016/j.camwa.2012.01.027zbMath1247.39014OpenAlexW2117555626MaRDI QIDQ453893

Ioan-Lucian Popa, Traian Ceauşu, Mihail Megan

Publication date: 30 September 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.01.027

zbMATH Keywords

uniform exponential stabilitylinear discrete-time systems(nonuniform) exponential stabilitystrongly exponential stability

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Stability theory for difference equations (39A30) Linear difference equations (39A06)

Related Items (5)

Nonuniform power instability and Lyapunov sequences ⋮ Exponentially Stable Linear Time-Varying Discrete Behaviors ⋮ Nonuniform polynomial dichotomy for noninvertible linear discrete-time systems in Banach spaces ⋮ Remarks on generalized stability for difference equations in Banach spaces ⋮ Barbashin-type conditions for exponential stability of linear cocycles

Cites Work

• On stability of linear time-varying infinite-dimensional discrete-time systems
• Stability in delay difference equations with nonuniform exponential behavior
• Stability of nonautonomous differential equations
• Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space
• Dynamics of evolutionary equations
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