A Zabczyk type method for the study of the exponential trichotomy of discrete dynamical systems
From MaRDI portal
Publication:278658
DOI10.1016/J.AMC.2014.07.108zbMath1335.39027OpenAlexW2014096104MaRDI QIDQ278658
Adina Luminiţa Sasu, Bogdan Sasu
Publication date: 2 May 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.07.108
Related Items (4)
Admissibility and exponential trichotomy of dynamical systems described by skew-product flows ⋮ On uniform logarithmic dichotomy of discrete skew-evolution semiflows ⋮ Input-output criteria for the trichotomic behaviors of discrete dynamical systems ⋮ Lyapunov type equation for discrete exponential trichotomies
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Input-output admissibility and exponential trichotomy of difference equations
- Center manifolds under nonuniform hyperbolicity -- maximal regularity
- Integral equations and exponential trichotomy of skew-product flows
- Skew-product semi-flows and non-autonomous control systems
- Nonlinear criteria for the existence of the exponential trichotomy in infinite dimensional spaces
- Lyapunov function and exponential trichotomy on time scales
- Exponential stability for linear skew-product flows
- Exponential dichotomy and trichotomy of nonlinear differential equations
- On stability of linear time-varying infinite-dimensional discrete-time systems
- Exponential trichotomy and \(p\)-admissibility for evolution families on the real line
- Center manifolds for difference equations-smooth parameter dependence
- On exponential dichotomy of variational difference equations
- Exponential trichotomy of differential systems
- Integral manifolds of impulsive differential equations
- Existence of a class of ergodic solutions implies exponential trichotomy
- Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces
- Unbounded perturbation of the exponential dichotomy for evolution equations
- Exponential dichotomy and trichotomy for difference equations
- Robustness of nonuniform exponential trichotomies in Banach spaces
- Local stabilization of abstract discrete-time systems
- Exponential trichotomy for variational difference equations
- On a discrete-time version of a problem of A. J. Pritchard and J. Zabczyk
- Dichotomy and trichotomy of difference equations
- Remarks on the Control of Discrete-Time Distributed Parameter Systems
- Exponential trichotomy and heteroclinic bifurcations
- Mathematical control theory: an introduction
This page was built for publication: A Zabczyk type method for the study of the exponential trichotomy of discrete dynamical systems
