On the admissible control operators for linear and bilinear systems and the Favard spaces

zbMath1301.93046MaRDI QIDQ475792

Fouad Maragh, Ahmed Fadili, Hassan Hammouri, Hamid Bounit

Publication date: 27 November 2014

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1414091010

zbMATH Keywords

semigroupsinfinite-dimensional systemsboundary control systemsadmissibilityabstract linear (bilinear) control systemsFavard spacesunbounded linear (bilinear) control systems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Operator-theoretic methods (93B28) Functional-differential equations in abstract spaces (34K30) Control/observation systems in abstract spaces (93C25) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Functional analysis techniques applied to functions of several complex variables (32A70) Partial difference equations (39A14)

Related Items (6)

Integral resolvent for Volterra equations and Favard spaces ⋮ On the maximal regularity for perturbed autonomous and non-autonomous evolution equations ⋮ Feedback stabilization of linear and bilinear unbounded systems in Banach space ⋮ On the complex inversion formula and admissibility for a class of Volterra systems ⋮ A class of weakly regular \(L^p\)-well-posed linear systems ⋮ Staffans-Weiss perturbations for maximal \(L^p\)-regularity in Banach spaces

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