Nonuniform exponential trichotomy for linear discrete-time systems in Banach spaces
DOI10.1155/2013/645250zbMath1287.39013OpenAlexW1989801541WikidataQ59014571 ScholiaQ59014571MaRDI QIDQ2443737
Xiao-Qiu Song, Tian Yue, Dong-Qing Li
Publication date: 8 April 2014
Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/645250
Banach spacesexponential stabilityexponential dichotomyexponential trichotomylinear difference equations
Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability theory for difference equations (39A30) Linear difference equations (39A06)
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Cites Work
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- Input-output admissibility and exponential trichotomy of difference equations
- Nonlinear criteria for the existence of the exponential trichotomy in infinite dimensional spaces
- Exponential dichotomy and trichotomy of nonlinear differential equations
- On stability of linear time-varying infinite-dimensional discrete-time systems
- Pointwise trichotomy for skew-evolution semiflows on Banach spaces
- New criteria for exponential expansiveness of variational difference equations
- On uniform exponential trichotomy of evolution operators in Banach spaces
- Center manifolds for infinite delay
- On dichotomous behavior of variational difference equations and applications
- Lyapunov sequences for exponential trichotomies
- Exponential trichotomy of differential systems
- Existence of dichotomies and invariant splittings for linear differential systems. III
- Dichotomies in stability theory
- \((h,k)\)-trichotomies and asymptotics of nonautonomous difference systems
- Existence of a class of ergodic solutions implies exponential trichotomy
- Exponential trichotomy and a class of ergodic solutions of differential equations with ergodic perturbations
- Robustness of nonuniform exponential trichotomies in Banach spaces
- Exponential dichotomies for linear discrete-time systems in Banach spaces
- Exponential trichotomy for variational difference equations
- Equivalent Definitions for Uniform Exponential Trichotomy of Evolution Operators in Banach Spaces
- On exponential trichotomy of linear difference equations
- Dichotomy and trichotomy of difference equations
- Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space
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