Exact boundary controllability for a kind of second-order quasilinear hyperbolic systems and its applications

DOI10.1002/mma.1167zbMath1186.35109OpenAlexW1963670660MaRDI QIDQ3401982

Li-Xin Yu

Publication date: 2 February 2010

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

Full work available at URL: https://doi.org/10.1002/mma.1167

zbMATH Keywords

constructive methodexact boundary controllabilitymixed initial-boundary value problemquasilinear hyperbolic system

Mathematics Subject Classification ID

Controllability (93B05) Existence theories for optimal control problems involving partial differential equations (49J20) Second-order quasilinear hyperbolic equations (35L72) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (6)

Exact boundary synchronization for a coupled system of 1-D wave equations with coupled boundary conditions of dissipative type ⋮ Exact boundary controllability and exact boundary observability for a coupled system of quasilinear wave equations ⋮ Exact boundary observability for a kind of second-order quasilinear hyperbolic system ⋮ Exact boundary controllability for a kind of second-order quasilinear hyperbolic systems ⋮ Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls ⋮ Exact boundary observability for a kind of second order quasilinear hyperbolic systems and its applications

Cites Work

• One-side exact controllability and observability for quasilinear hyperbolic systems
• Exact controllability for the semilinear wave equation
• Contrôlabilité exacte frontière pour les équations des ondes quasi linéaires unidimensionnelles. (Exact boundary controllability for 1-D quasilinear wave equations)
• A note on the one-side exact boundary controllability for quasilinear hyperbolic systems
• Exact Boundary Controllability for 1‐D Quasilinear Wave Equations
• Local Exact Boundary Controllability for Nonlinear Wave Equations
• Exact Boundary Controllability for Quasi-Linear Hyperbolic Systems

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