Structural assignment of Neumann boundary feedback parabolic equations: The unbounded case in the feedback loop

DOI10.1007/BF01760979zbMath0517.93049OpenAlexW2091543343MaRDI QIDQ1053651

Roberto Triggiani, Irena Lasiecka

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01760979

zbMATH Keywords

boundary controlfeedback stabilizationmixed boundary conditions

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Initial-boundary value problems for second-order parabolic equations (35K20) Linear symmetric and selfadjoint operators (unbounded) (47B25) Groups and semigroups of linear operators (47D03)

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Finite rank, relatively bounded perturbations of semigroups generators. II: Spectrum and Riesz basis assignment with applications to feedback systems ⋮ Regularity theory of hyperbolic equations with non-homogeneous Neumann boundary conditions. II: General boundary data ⋮ Unique continuation properties of over-determined static Boussinesq problems with application to uniform stabilization of dynamic Boussinesq systems ⋮ Exact and approximate solutions of some operator equations based on the Cayley transform ⋮ Characterization of domains of fractional powers of certain operators arising in elastic systems, and applications

Cites Work

• Stabilization of Neumann boundary feedback of parabolic equations: The case of trace in the feedback loop
• Semigroups of linear operators and applications to partial differential equations
• Boundary feedback stabilizability of parabolic equations
• Well-posedness and regularity of boundary feedback parabolic systems
• Unified theory for abstract parabolic boundary problems - a semigroup approach
• A cosine operator approach to modeling \(L_ 2(\)0,T;\(L_ 2(\)Gammma))- boundary input hyperbolic equations
• Hyperbolic equations with Dirichlet boundary feedback via position vector: Regularity and almost periodic stabilization. I
• Hyperbolic equations with Dirichlet boundary feedback via position vector: Regularity and almost periodic stabilization. II
• On the stabilizability problem in Banach space
• Stabilization and Structural Assignment of Dirichlet Boundary Feedback Parabolic Equations
• Feedback Stabilization of Distributed Parameter Systems by a Functional Observer
• A Bound on the Boundary Input Map for Parabolic Equations with Application to Time Optimal Control
• On the Boundary Behavior of Solutions to Elliptic and Parabolic Equations—with Applications to Boundary Control for Parabolic Equations
• Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
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