Exact boundary and distributed controllability of radial damped wave equation

DOI10.1016/S0021-7824(98)80026-3zbMath0910.93013MaRDI QIDQ1128311

Marianna A. Shubov

Publication date: 7 April 1999

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

wave equationnull controllabilityclosed loop controllabilityperiodic controllability

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Operator-theoretic methods (93B28)

Related Items

Exact boundary observability for nonautonomous quasilinear wave equations, Spectral operators generated by damped hyperbolic equations, Boundary and distributed controllability of the damped wave equation: Reduction of control time, Geometric properties of root vectors for equation of nonhomogeneous damped string: transformation operators method, On the completeness of root vectors of a certain class of differential operators, Spectral decomposition method for controlled damped string reduction of control time, Asymptotics of eigenfrequencies and eigenmodes of non-homogeneous inextensible filament with an end load, Boundary controllability of a pseudoparabolic equation, Spectral operators generated by Timoshenko beam model, Geometric properties of root vectors for equation of nonhomogeneous damped string: transformation operators method

Cites Work

• Spectral operators generated by damped hyperbolic equations
• Asymptotics of resonances and geometry of resonance states in the problem of scattering of acoustic waves by a spherically symmetric inhomogeneity of the density
• Basis property of eigenfunctions of nonselfadjoint operator pencils generated by the equation of nonhomogeneous damped string
• Nonharmonic FOurier series in the control theory of distributed parameter systems
• Spectral decomposition method for controlled damped string reduction of control time
• Resonances in the scattering of acoustic waves by a spherical inhomogeneity of the density
• Nonselfadjoint operators generated by the equation of a nonhomogeneous damped string
• Exact Controllability of the Damped Wave Equation
• A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations
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