Exact boundary synchronization for a coupled system of 1-D wave equations with coupled boundary conditions of dissipative type

DOI10.3934/CPAA.2014.13.881zbMath1277.35243OpenAlexW2333597869MaRDI QIDQ380174

Long Hu, Bopeng Rao, Ta-Tsien Li

Publication date: 13 November 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2014.13.881

zbMATH Keywords

boundary controlsexact null controllabilityexact synchronization by groupsgeneralized exact synchronization

Mathematics Subject Classification ID

Controllability (93B05) Observability (93B07) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (16)

From phenomena of synchronization to exact synchronization and approximate synchronization for hyperbolic systems ⋮ Exact synchronization and asymptotic synchronization for linear ODEs ⋮ Criteria of Kalman's Type to the Approximate Controllability and the Approximate Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls ⋮ Asymptotic controllability and asymptotic synchronization for a coupled system of wave equations with Dirichlet boundary controls ⋮ Generalized exact boundary synchronization for a coupled system of wave equations with Dirichlet boundary controls ⋮ Exact synchronization by groups for a coupled system of wave equations with Dirichlet boundary controls ⋮ Exact boundary synchronization by groups for a kind of system of wave equations coupled with velocities ⋮ Generalized exact boundary synchronization for a coupled system of wave equations ⋮ Local exact boundary synchronization for a kind of first order quasilinear hyperbolic systems ⋮ On the exactly synchronizable state to a coupled system of wave equations ⋮ Exact boundary synchronization for a coupled system of wave equations with Neumann boundary controls ⋮ Criteria of Kálmán's type for the approximate controllability and the approximate synchronization of a coupled system of wave equations ⋮ Exact boundary synchronization for a coupled system of 1-D quasilinear wave equations ⋮ Approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary conditions ⋮ Minimal time control of exact synchronization for parabolic systems ⋮ Exact boundary controllability and exact boundary synchronization for a coupled system of wave equations with coupled Robin boundary controls

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• Exact Boundary Synchronization for a Coupled System of Wave Equations
• Exact boundary controllability for a kind of second-order quasilinear hyperbolic systems and its applications
• Exact Boundary Controllability for 1‐D Quasilinear Wave Equations
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls

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