Exact boundary controllability of nodal profile for quasilinear wave equations in a planar tree‐like network of strings

DOI10.1002/mma.2881zbMath1295.35333OpenAlexW2067051678MaRDI QIDQ5420204

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Publication date: 11 June 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2881

zbMATH Keywords

planar tree-like network of stringsquasilinear wave equationstree-like networkexact boundary controllability of nodal profilenumber of required boundary controlsstar-line network

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order quasilinear hyperbolic equations (35L72)

Related Items (6)

Sidewise profile control of 1-D waves ⋮ Output feedback stabilization of an underactuated cascade network of interconnected linear PDE systems using a backstepping approach ⋮ Nodal profile control for networks of geometrically exact beams ⋮ Controllability and stabilization of a conservation law modeling a highly re-entrant manufacturing system ⋮ Boundary controllability of a system modelling a partially immersed obstacle ⋮ Robust state-feedback stabilization of an underactuated network of interconnected \(n + m\) hyperbolic PDE systems

Cites Work

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• Exact Boundary Controllability for 1‐D Quasilinear Wave Equations
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• Exact Boundary Controllability for Quasi-Linear Hyperbolic Systems
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