Exact boundary controllability and exact boundary observability for a coupled system of quasilinear wave equations

DOI10.1007/s11401-013-0785-9zbMath1278.35152OpenAlexW2067285014MaRDI QIDQ382084

Mohammad Hasan, H. S. Yoon

Publication date: 18 November 2013

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-013-0785-9

zbMATH Keywords

exact boundary controllabilityexact boundary observabilitycoupled system of quasilinear wave equations

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Second-order nonlinear hyperbolic equations (35L70) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (13)

Exact boundary controllability for a coupled system of wave equations with Neumann boundary controls ⋮ From phenomena of synchronization to exact synchronization and approximate synchronization for hyperbolic systems ⋮ Equivalence between exponential stabilization and boundary observability for swelling problem ⋮ Criteria of Kalman's Type to the Approximate Controllability and the Approximate Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls ⋮ Exact boundary synchronization for a coupled system of 1-D wave equations with coupled boundary conditions of dissipative type ⋮ Exact synchronization by groups for a coupled system of wave equations with Dirichlet boundary controls ⋮ Generalized exact boundary synchronization for a coupled system of wave equations ⋮ The exact controllability of Euler-Bernoulli beam systems with small delays in the boundary feedback controls ⋮ Exact boundary observability for a kind of second-order quasilinear hyperbolic systems ⋮ Criteria of Kálmán's type for the approximate controllability and the approximate synchronization of a coupled system of wave equations ⋮ Exact boundary controllability and its applications for a coupled system of quasilinear wave equations with dynamical boundary conditions ⋮ Controllability of classical solutions implies controllability of weak solutions for a coupled system of wave equations and its application ⋮ Exact boundary synchronization for a coupled system of 1-D quasilinear wave equations

Cites Work

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• Exact Boundary Controllability for Quasi-Linear Hyperbolic Systems
• Exact boundary observability for 1‐D quasilinear wave equations
• Semi-global \(C^1\) solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems

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