Admissible control and observation operators for Volterra integral equations

DOI10.1007/S00028-004-0152-0zbMath1076.93025OpenAlexW1997767409WikidataQ56319349 ScholiaQ56319349MaRDI QIDQ1762618

Jonathan R. Partington, Birgit Jacob

Publication date: 11 February 2005

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-004-0152-0

zbMATH Keywords

Cauchy problemadmissibilityVolterra equationcontrol operatorobservation operatorcomposition operators on Hardy spaces

Mathematics Subject Classification ID

Operator-theoretic methods (93B28) Control/observation systems in abstract spaces (93C25)

Related Items (12)

Infinite-Time Admissibility of the Gurtin--Pipkin Systems in Hilbert Spaces ⋮ A resolvent test for admissibility of Volterra observation operators ⋮ Analysis and control of integro-differential Volterra equations with delays ⋮ Uniform exponential stability of solutions to abstract Volterra equations ⋮ Robust stability and stability radius for variational control systems ⋮ On the complex inversion formula and admissibility for a class of Volterra systems ⋮ Admissibility of the Observation Operators for Volterra systems with Exponential Kernels ⋮ Dynamic behavior of a heat equation with memory ⋮ Admissibility and controllability of diagonal Volterra equations with scalar inputs ⋮ Exponential stability of abstract Coleman-Gurtin equations in Hilbert spaces ⋮ Infinite-time exact observability of Volterra systems in Hilbert spaces ⋮ Infinite-Time Admissibility and Exact Observability of Volterra Systems

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