A direct approach to the Weiss conjecture for bounded analytic semigroups

DOI10.1007/s10587-010-0033-3zbMath1220.47058OpenAlexW2018793499WikidataQ122898217 ScholiaQ122898217MaRDI QIDQ3073494

Bounit Hamid, Driouich Adberrahim, El-Mennaoui Omar

Publication date: 11 February 2011

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/38025

zbMATH Keywords

analytic semigroupunbounded observation operatoradmissibilityinfinite-dimensional systemfractional power

Mathematics Subject Classification ID

(H^infty)-control (93B36) One-parameter semigroups and linear evolution equations (47D06) Control problems for functional-differential equations (34K35) PDEs in connection with control and optimization (35Q93)

Related Items (6)

Admissibility of control operators in UMD spaces and the inverse Laplace transform ⋮ Characterization of Orlicz admissibility ⋮ On continuity of solutions for parabolic control systems and input-to-state stability ⋮ Feedback stabilization of linear and bilinear unbounded systems in Banach space ⋮ Stability properties of stochastic maximal \(L^p\)-regularity ⋮ A direct approach to the weighted admissibility of observation operators for bounded analytic semigroups

Cites Work

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• Sufficient conditions for admissibility
• Admissibility of Unbounded Control Operators
• THE WEISS CONJECTURE FOR BOUNDED ANALYTIC SEMIGROUPS
• Counterexamples Concerning Observation Operators for C₀ -Semigroups
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• Fractional powers of operators
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