Controllability of tree-shaped networks of vibrating strings
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Publication:2747426
DOI10.1016/S0764-4442(01)01942-5zbMath0990.93051MaRDI QIDQ2747426
Publication date: 19 August 2002
Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)
controllabilityvibrating stringsnondegeneracy conditiontree-shaped networkweighted observability inequality
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Strings (74K05)
Related Items (15)
Kinetic Layers and Coupling Conditions for Macroscopic Equations on Networks I: The Wave Equation ⋮ Decay rates for elastic-thermoelastic star-shaped networks ⋮ Stability and Riesz basis property for general network of strings ⋮ Stabilization and Riesz basis of a star-shaped network of Timoshenko beams ⋮ Flows in large, self-similar tree networks and their control ⋮ Exponential and super stability of a wave network ⋮ Asymptotic stability and Riesz basis property for tree-shaped network of strings ⋮ Conditions for periodic vibrations in a symmetric \(n\)-string ⋮ Remark on stabilization of tree-shaped networks of strings. ⋮ Riesz basis property and stability of planar networks of controlled strings ⋮ Stabilization of generic trees of strings ⋮ Controller design for bush-type 1-d wave networks ⋮ Stability and spectral properties of general tree-shaped wave networks with variable coefficients ⋮ Spectral boundary controllability of networks of strings ⋮ Finite-time stabilization of a network of strings
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