The operator Carleson measure criterion for admissibility of control operators for diagonal semigroups on \(\ell ^ 2\)

DOI10.1016/0167-6911(91)90051-FzbMath0728.93047OpenAlexW2023484234MaRDI QIDQ805563

N. E. Zubov

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0167-6911(91)90051-f

zbMATH Keywords

admissible control operatorsoperator Carleson measure

Mathematics Subject Classification ID

Control/observation systems in abstract spaces (93C25)

Related Items (11)

A class of incrementally scattering-passive nonlinear systems ⋮ \(p\)-admissible control elements for diagonal semigroups on \(l^{r}\)-spaces ⋮ Admissibility of control operators in UMD spaces and the inverse Laplace transform ⋮ Resolvent conditions for the control of unitary groups and their approximations ⋮ A semigroup characterization of well-posed linear control systems ⋮ Exact observability of diagonal systems with a finite-dimensional output operator ⋮ On invariance of \(p\)-admissibility of control and observation operators to \(q\)-type of perturbations of generator of \(C_{0}\)-semigroup ⋮ Weak admissibility does not imply admissibility for analytic semigroups ⋮ A direct approach to the Weiss conjecture for bounded analytic semigroups ⋮ Admissibility and controllability of diagonal Volterra equations with scalar inputs ⋮ Necessary conditions for exact controllability with a finite-dimensional input space

Cites Work

• Admissible observation operators for linear semigroups
• Semigroups of linear operators and applications to partial differential equations
• Admissibility of input elements for diagonal semigroups on \(\ell\) 2
• Realizability theory for continuous linear systems
• 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
• Admissibility of Unbounded Control Operators
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