Input-output criteria for stability and expansiveness of dynamical systems
From MaRDI portal
Publication:2247088
DOI10.1016/j.amc.2021.126574OpenAlexW3188606785MaRDI QIDQ2247088
Adina Luminiţa Sasu, Bogdan Sasu, Davor Dragičević
Publication date: 16 November 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2021.126574
exponential stabilityexponential expansivenessdiscrete input-output systemdiscrete variational systemintegral control system
Input-output approaches in control theory (93D25) Generic properties, structural stability of dynamical systems (37C20) Asymptotic properties of solutions to ordinary differential equations (34D05) Stability theory for difference equations (39A30) Exponential stability (93D23)
Related Items (2)
Nonuniform input-output criteria for exponential expansiveness of discrete dynamical systems and applications ⋮ Input-output criteria for the trichotomic behaviors of discrete dynamical systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Structured stability radii and exponential stability tests for Volterra difference systems
- Equivalences between nonuniform exponential dichotomy and admissibility
- On the dichotomic behavior of discrete dynamical systems on the half-line
- A generalized integral manifold theorem
- New criteria for exponential expansiveness of variational difference equations
- Admissibility and exponential trichotomy of dynamical systems described by skew-product flows
- Stability of difference equations and applications to robustness problems
- Integral equations, dichotomy of evolution families on the half-line and applications
- Exponential trichotomy of differential systems
- Remarks on the stability of linear infinite-dimensional discrete-time systems
- Geometric theory of semilinear parabolic equations
- Dichotomies in stability theory
- Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
- Robustness of exponential dichotomies in infinite-dimensional dynamical systems
- Center manifold and stability for skew-product flows
- Dynamical spectrum for time dependent linear systems in Banach spaces
- On spectral characterization of nonuniform hyperbolicity
- New conditions for (non)uniform behaviour of linear cocycles over flows
- A criterion for the exponential stability of linear difference equations.
- On exponential dichotomy, Bohl--Perron type theorems and stability of difference equations
- Remarks on \(\ell ^ p\)-input bounded-state stability of linear controllable infinite-dimensional systems
- Perron conditions for uniform exponential expansiveness of linear skew-product flows
- The Fredholm alternative and exponential dichotomies for parabolic equation
- Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces
- Unbounded perturbation of the exponential dichotomy for evolution equations
- Roughness of tempered exponential dichotomies for infinite-dimensional random difference equations
- Admissibility criteria for nonuniform dichotomic behavior of nonautonomous systems on the whole line
- On the asymptotic behavior of discrete dynamical systems -- an ergodic theory approach
- Admissibility, a general type of Lipschitz shadowing and structural stability
- Exponential trichotomy and \((r, p)\)-admissibility for discrete dynamical systems
- Discrete admissibility and exponential trichotomy of dynamical systems
- Input-output conditions for the asymptotic behavior of linear skew-product flows and applications
- Exponential dichotomy and expansivity
- Linear differential equations and functional analysis. IV
- Dichotomies for linear difference equations
- Admissibility and roughness of nonuniform exponential dichotomies for difference equations
- On Lyapunov exponents of continuous Schrödinger cocycles over irrational rotations
- Bohl–Perron-type stability theorems for linear difference equations with infinite delay
- Foundations of Ergodic Theory
- Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space
- Ergodic Properties of Linear Dynamical Systems
- Exponential Dichotomies and Fredholm Operators
- Dichotomy and trichotomy of difference equations
- On the proof of characterizations of the exponential dichotomy
- The concept of spectral dichotomy for linear difference equations II
- Infinite-Dimensional Input-to-State Stability and Orlicz Spaces
- Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles
- Hölder continuity of Oseledets splittings for semi-invertible operator cocycles
- Two definitions of exponential dichotomy for skew-product semiflow in Banach spaces
- Admissibility and nonuniform polynomial dichotomies
- Datko-Pazy conditions for nonuniform exponential stability
- New characterizations of exponential dichotomy and exponential stability of linear difference equations
- Perturbations of normally hyperbolic manifolds with applications to the Navier-Stokes equations
This page was built for publication: Input-output criteria for stability and expansiveness of dynamical systems
