Spectral boundary controllability of networks of strings

DOI10.1016/S1631-073X(02)02314-2zbMath1011.74047MaRDI QIDQ1600184

René Dáger, Enrique Zuazua

Publication date: 12 June 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

eigenfunctionnecessary and sufficient conditiontransversal vibrationsoptimal control timenetwork of stringsasymptotic formula for eigenvaluesBeurling-Malliavin's theoremspectral boundary controllability

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Vibrations in dynamical problems in solid mechanics (74H45) Strings (74K05)

Related Items (6)

Decay rates for elastic-thermoelastic star-shaped networks ⋮ Exact controllability to eigensolutions of the bilinear heat equation on compact networks ⋮ Stability of a variable coefficient star-shaped network with distributed delay ⋮ Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations ⋮ Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions ⋮ Stability and spectral properties of general tree-shaped wave networks with variable coefficients

Cites Work

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• Pointwise and spectral control of plate vibrations
• Modeling, analysis and control of dynamic elastic multi-link structures
• Ingham-Beurling type theorems with weakened gap conditions
• Controllability of star-shaped networks of strings
• Controllability of tree-shaped networks of vibrating strings
• Simultaneous controllability in sharp time for two elastic strings
• Simultaneous control problems for systems of elastic strings and beams

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