Finite rank, relatively bounded perturbations of semigroups generators. II: Spectrum and Riesz basis assignment with applications to feedback systems

DOI10.1007/BF01769210zbMath0623.47040MaRDI QIDQ1091586

Irena Lasiecka, Roberto Triggiani

Publication date: 1986

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

boundary feedback control of parabolic and hyperbolic partial differential equationseigenvector assignmentrank-one feedback perturbations of a spectral operatorwell posedness of a Cauchy initial value problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for second-order parabolic equations (35K20) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Groups and semigroups of linear operators (47D03) General theory of partial differential operators (47F05)

Related Items (6)

Controllability and stabilization of gravity-capillary surface water waves in a basin ⋮ On a generalization of the Kalman-Yakubovic lemma ⋮ Boundary control systems in factor form: Transfer functions and input-output maps ⋮ Unnamed Item ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ Lack of Uniform Stabilization for Noncontractive Semigroups Under Compact Perturbation

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