Exact controllability for first order quasilinear hyperbolic systems with zero eigenvalues

DOI10.1142/S0252959903000414zbMath1045.35044MaRDI QIDQ1423908

Li-Xin Yu, Ta-Tsien Li

Publication date: 7 March 2004

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

zbMATH Keywords

boundary controlsinternal controls

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for first-order hyperbolic systems (35L50) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (14)

Exact boundary controllability for quasilinear wave equations ⋮ Exact controllability with internal controls for first-order quasilinear hyperbolic systems with zero eigenvalues ⋮ Exact controllability for nonautonomous first order quasilinear hyperbolic systems ⋮ Shock reflection for general quasilinear hyperbolic systems of conservation laws ⋮ Numerical feedback stabilization with applications to networks ⋮ Global exact boundary controllability for general first-order quasilinear hyperbolic systems ⋮ Exact boundary controllability of unsteady supercritical flows in a tree-like network of open canals ⋮ Global exact controllability for quasilinear hyperbolic systems of diagonal form with linearly degenerate characteristics ⋮ Boundary stabilization of hyperbolic balance laws with characteristic boundaries ⋮ Exact boundary controllability of unsteady flows in a tree-like network of open canals ⋮ Exact boundary controllability for higher order quasilinear hyperbolic equations ⋮ On boundary control of a hyperbolic system with a vanishing characteristic speed ⋮ Exact boundary controllability for 1‐D quasilinear wave equations with dynamical boundary conditions ⋮ On the Global Controllability of Scalar Conservation Laws with Boundary and Source Controls

Cites Work

• Local exact boundary controllability for a class of quasilinear hyperbolic systems.
• Solution semi-globale et contrôlabilité exacte frontière de systèmes hyperboliques quasi linéaires
• Exact Boundary Controllability for Quasi-Linear Hyperbolic Systems
• Semi-global \(C^1\) solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems

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