Exact controllability for first order quasilinear hyperbolic systems with internal controls

DOI10.3934/dcds.2016.36.1105zbMath1330.35248OpenAlexW2339277426MaRDI QIDQ495815

Bopeng Rao, Kaili Zhuang, Ta-Tsien Li

Publication date: 15 September 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.1105

zbMATH Keywords

boundary controlone space dimensionlocal exact controllability\(C^1\) classical solution

Mathematics Subject Classification ID

Controllability (93B05) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (7)

Exact controllability with internal controls for first-order quasilinear hyperbolic systems with zero eigenvalues ⋮ Exact internal controllability of nodal profile for first order quasilinear hyperbolic systems ⋮ Exact internal controllability and exact internal synchronization for a kind of first order hyperbolic system ⋮ Exact internal controllability and synchronization for a coupled system of wave equations ⋮ Controllability for one-dimensional nonlinear wave equations with degenerate damping ⋮ Exact controllability for 1‐D quasilinear wave equations with internal controls ⋮ On the Global Controllability of Scalar Conservation Laws with Boundary and Source Controls

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact controllability with internal controls for first-order quasilinear hyperbolic systems with zero eigenvalues
• Strong (weak) exact controllability and strong (weak) exact observability for quasilinear hyperbolic systems
• Local exact boundary controllability for a class of quasilinear hyperbolic systems.
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Exact Boundary Controllability for Quasi-Linear Hyperbolic Systems
• Semi-global \(C^1\) solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems

This page was built for publication: Exact controllability for first order quasilinear hyperbolic systems with internal controls