On the admissibility of observation for perturbed \(\mathcal C_0\)-semigroups on Banach spaces

DOI10.1016/J.SYSCONLE.2005.04.010zbMath1129.93420OpenAlexW2011960217MaRDI QIDQ2504622

Abdelali Idrissi, Said Hadd

Publication date: 25 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2005.04.010

zbMATH Keywords

semigroupBanach spacedelay equationunbounded observation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Observability (93B07) Functional-differential equations in abstract spaces (34K30) Control/observation systems in abstract spaces (93C25) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Linear differential equations in abstract spaces (34G10)

Related Items (13)

On the admissibility of observation operators for evolution families ⋮ Weighted multiple interpolation and the control of perturbed semigroup systems ⋮ Robustness of Exactp-Controllability and Exactp-Observability toq-Type of Perturbations of the Generator ⋮ On the perturbations of regular linear systems and linear systems with state and output delays ⋮ On the admissibility of observation operators in the context of maximal regularity ⋮ Analysis and control of integro-differential Volterra equations with delays ⋮ On the maximal regularity for perturbed autonomous and non-autonomous evolution equations ⋮ A Functional Analytic Approach to Infinite Dimensional Stochastic Linear Systems ⋮ On invariance of \(p\)-admissibility of control and observation operators to \(q\)-type of perturbations of generator of \(C_{0}\)-semigroup ⋮ Stabilization for infinite-dimensional linear systems with bounded control and time delayed observation ⋮ On robustness of exact controllability and exact observability under cross perturbations of the generator in Banach spaces ⋮ Some problems of linear differential equations on abstract spaces and unbounded perturbations of linear operator semigroup ⋮ Dynamic boundary systems with boundary feedback and population system with unbounded birth process

Cites Work

• Unnamed Item
• Unnamed Item
• Representation and control of infinite dimensional systems. Volume I
• 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
• Admissible observation operators for linear semigroups
• Infinite dimensional linear systems theory
• Regular linear systems with feedback
• Conditions for admissibility of observation operators and boundedness of Hankel operators
• Uniform decay properties of a model in structural acoustics
• Admissible observation operators. Semigroup criteria of admissibility
• 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
• The Linear-Quadratic Control Problem for Retarded Systems with Delays in Control and Observation
• Realization theory in Hilbert space
• Realization theory of infinite-dimensional linear systems. Part I
• One-Parameter Semigroups for Linear Evolution Equations
• Transfer Functions of Regular Linear Systems. Part I: Characterizations of Regularity
• Counterexamples Concerning Observation Operators for C₀ -Semigroups
• Semigroups and linear partial differential equations with delay

This page was built for publication: On the admissibility of observation for perturbed \(\mathcal C_0\)-semigroups on Banach spaces