New criteria for exponential expansiveness of variational difference equations

DOI10.1016/J.JMAA.2006.04.024zbMath1115.39005OpenAlexW2002335293MaRDI QIDQ860570

Bogdan Sasu

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.04.024

zbMATH Keywords

Banach sequence spaceinput-output systemexponential expansivenesslinear skew-product flowsvariational difference equations

Mathematics Subject Classification ID

Input-output approaches in control theory (93D25) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (16)

Nonuniform input-output criteria for exponential expansiveness of discrete dynamical systems and applications ⋮ On weak exponential expansiveness of skew-evolution semiflows in Banach spaces ⋮ Nonuniform exponential trichotomy for linear discrete-time systems in Banach spaces ⋮ Robust stability and stability radius for variational control systems ⋮ Input–output control systems and dichotomy of variational difference equations ⋮ Input-output criteria for stability and expansiveness of dynamical systems ⋮ Stability of difference equations and applications to robustness problems ⋮ Translation invariant spaces and asymptotic properties of variational equations ⋮ Integral equations and exponential trichotomy of skew-product flows ⋮ Integral conditions for exponential dichotomy: a nonlinear approach ⋮ Nonlinear criteria for the existence of the exponential trichotomy in infinite dimensional spaces ⋮ On the asymptotic behavior of discrete dynamical systems -- an ergodic theory approach ⋮ Exponential trichotomy for variational difference equations ⋮ On dichotomous behavior of variational difference equations and applications ⋮ On exponential dichotomy of variational difference equations ⋮ Polynomial expansiveness and admissibility of weighted Lebesgue spaces

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• Exponential dichotomy on the real line and admissibility of function spaces
• Stability and Stabilizability for Linear Systems of Difference Equations
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