Robust stability and stability radius for variational control systems
From MaRDI portal
Publication:938371
DOI10.1155/2008/381791zbMath1395.93469OpenAlexW2049968513WikidataQ58644331 ScholiaQ58644331MaRDI QIDQ938371
Publication date: 19 August 2008
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2008/381791
Robust stability (93D09) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)
Related Items (6)
Controller design of complex system based on nonlinear strength ⋮ Translation invariant spaces and asymptotic properties of variational equations ⋮ Integral equations and exponential trichotomy of skew-product flows ⋮ Exponential trichotomy for variational difference equations ⋮ Asymptotic comparison of the solutions of linear time-delay systems with point and distributed lags with those of their limiting equations ⋮ On the characterization of Hankel and Toeplitz operators describing switched linear dynamic systems with point delays
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lyapunov inequalities for time scales.
- Exponential trichotomy and \(p\)-admissibility for evolution families on the real line
- New criteria for exponential expansiveness of variational difference equations
- Robustness of stability of time-varying linear systems
- Stability radii of linear systems
- Banach lattices
- Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
- Dichotomies for linear evolutionary equations in Banach spaces
- A formula for the stability radius of time-varying systems
- Admissible control and observation operators for Volterra integral equations
- Stabilizability and controllability of systems associated to linear skew-product semiflows.
- Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces
- Characterization of exponential stability of a semigroup of operators in terms of its action by convolution on vector-valued function spaces over \(\mathbb{R}_+\)
- Input-output conditions for the asymptotic behavior of linear skew-product flows and applications
- Exponential dichotomy on the real line and admissibility of function spaces
- Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators
- Exponential stabilization of well-posed systems by colocated feedback
- Equivalence of input-output stability and exponential stability for infinite-dimensional systems
- Admissibility of Unbounded Control Operators
- Transfer Functions of Regular Linear Systems. Part I: Characterizations of Regularity
- Robust Stability of Linear Evolution Operators on Banach Spaces
- On stability radii of infinite–dimensional time–varying discrete––time systems
- Stability Radius and Internal Versus External Stability in Banach Spaces: An Evolution Semigroup Approach
- Stability and Stabilizability for Linear Systems of Difference Equations
- A lower bound for the stability radius of time-varying systems
- Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space
This page was built for publication: Robust stability and stability radius for variational control systems