On invariance of \(p\)-admissibility of control and observation operators to \(q\)-type of perturbations of generator of \(C_{0}\)-semigroup
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Publication:709272
DOI10.1016/j.sysconle.2010.06.006zbMath1198.93064OpenAlexW1582377183MaRDI QIDQ709272
Publication date: 18 October 2010
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2010.06.006
Linear systems in control theory (93C05) Observability (93B07) Operator-theoretic methods (93B28) Control/observation systems in abstract spaces (93C25)
Related Items (3)
Robustness of Exactp-Controllability and Exactp-Observability toq-Type of Perturbations of the Generator ⋮ Stabilization for infinite-dimensional linear systems with bounded control and time delayed observation ⋮ Some problems of linear differential equations on abstract spaces and unbounded perturbations of linear operator semigroup
Cites Work
- Unnamed Item
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- The operator Carleson measure criterion for admissibility of control operators for diagonal semigroups on \(\ell ^ 2\)
- From PDEs with boundary control to the abstract state equation with an unbounded input operator: a tutorial. With discussion by Laurent Lefèvre and Didier Georges and comments by the authors.
- The regular linear systems associated with the shift semigroups and application to control linear systems with delay
- Exact controllability of infinite dimensional systems persists under small perturbations
- \(p\)-admissible control elements for diagonal semigroups on \(l^{r}\)-spaces
- Admissible observation operators for linear semigroups
- Feedback boundary control problems for linear semigroups
- Admissibility of input elements for diagonal semigroups on \(\ell\) 2
- Stabilization of hyperbolic and parabolic systems with nonlinearly perturbed boundary conditions
- Unified theory for abstract parabolic boundary problems - a semigroup approach
- Differential and algebraic Riccati equations with application to boundary/point control problems: Continuous theory and approximation theory
- Spectral theory and generator property for one-sided coupled operator matrices
- The infinite-time admissibility of observation operators and operator Lyapunov equations
- Regular linear systems with feedback
- Uniform decay properties of a model in structural acoustics
- Admissible observation operators. Semigroup criteria of admissibility
- On the Carleson measure criterion in linear systems theory
- Sufficient conditions for admissibility
- On the admissibility of observation for perturbed \(\mathcal C_0\)-semigroups on Banach spaces
- Extending a theorem of A. M. Liapunov to Hilbert space
- Unbounded perturbations of \(C_0\)-semigroups on Banach spaces and applications
- Admissible Input Elements for Systems in Hilbert Space and a Carleson Measure Criterion
- Infinite Dimensional Linear Systems With Unbounded Control and Observation: A Functional Analytic Approach
- Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
- Admissibility of Unbounded Control Operators
- One-Parameter Semigroups for Linear Evolution Equations
- Transfer Functions of Regular Linear Systems. Part I: Characterizations of Regularity
- On the Spectral-Lyapunov Approach to Parametric Optimization of Distributed-Parameter Systems
- Semigroups and linear partial differential equations with delay
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