Weak admissibility does not imply admissibility for analytic semigroups

DOI10.1016/S0167-6911(02)00277-3zbMath1157.93421OpenAlexW2050878892MaRDI QIDQ2503475

Birgit Jacob, Hans J. Zwart, Olof J. Staffans

Publication date: 21 September 2006

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

Full work available at URL: https://doi.org/10.1016/s0167-6911(02)00277-3

zbMATH Keywords

\(C_{0}\)-semigroupAdmissible control operatorConditional basisInfinite-dimensional system

Mathematics Subject Classification ID

Controllability (93B05) One-parameter semigroups and linear evolution equations (47D06) Control/observation systems in abstract spaces (93C25) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Related Items (10)

Characteristic of left invertible semigroups and admissibility of observation operators ⋮ On the perturbations of regular linear systems and linear systems with state and output delays ⋮ Well-posed systems -- the LTI case and beyond ⋮ On continuity of solutions for parabolic control systems and input-to-state stability ⋮ Feedback stabilization of linear and bilinear unbounded systems in Banach space ⋮ Necessary conditions for the exact observability of systems on Hilbert spaces ⋮ Weakly admissible \({\mathcal H}_{\infty}^{-} \)-calculus on reflexive Banach spaces ⋮ \(\alpha \)-admissibility of the right-shift semigroup on \(L^2(\mathbb R_+)\) ⋮ Sufficient conditions for admissibility ⋮ A direct approach to the Weiss conjecture for bounded analytic semigroups

Cites Work

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• Resolvent Tests for Similarity to a Normal Operator
• ADMISSIBLE AND WEAKLY ADMISSIBLE OBSERVATION OPERATORS FOR THE RIGHT SHIFT SEMIGROUP

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