Sharp Time Estimates for Exact Boundary Controllability of Quasilinear Hyperbolic Systems

DOI10.1137/140983720zbMath1326.93014OpenAlexW2220079513MaRDI QIDQ3454568

Long Hu

Publication date: 25 November 2015

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140983720

zbMATH Keywords

exact boundary controllabilityhomogeneous quasilinear hyperbolic systemsone-sided controlsharp time estimatestwo-sided control with less controls

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (10)

Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls ⋮ Equivalent one-dimensional first-order linear hyperbolic systems and range of the minimal null control time with respect to the internal coupling matrix ⋮ Time-periodic solutions to quasilinear hyperbolic systems with time-periodic boundary conditions ⋮ Exact internal controllability and exact internal synchronization for a kind of first order hyperbolic system ⋮ Exact boundary controllability of nodal profile for nonautonomous quasilinear hyperbolic systems ⋮ Lyapunov functions and finite-time stabilization in optimal time for homogeneous linear and quasilinear hyperbolic systems ⋮ Optimal Time for the Controllability of Linear Hyperbolic Systems in One-Dimensional Space ⋮ Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space ⋮ Null controllability and finite-time stabilization in minimal time of one-dimensional first-order 2 × 2 linear hyperbolic systems ⋮ Exact boundary synchronization for a kind of first order hyperbolic system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws
• Global smooth solutions of dissipative boundary value problems for first order quasilinear hyperbolic systems
• Exact controllability for nonautonomous first order quasilinear hyperbolic systems
• Exact Boundary Controllability for 1-D Quasilinear Hyperbolic Systems with a Vanishing Characteristic Speed
• Formation of singularities in one-dimensional nonlinear wave propagation
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Exact Boundary Controllability for Quasi-Linear Hyperbolic Systems

This page was built for publication: Sharp Time Estimates for Exact Boundary Controllability of Quasilinear Hyperbolic Systems