From phenomena of synchronization to exact synchronization and approximate synchronization for hyperbolic systems

DOI10.1007/s11425-015-5107-0zbMath1339.93026OpenAlexW2257265858MaRDI QIDQ2629533

Ta-Tsien Li

Publication date: 6 July 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-015-5107-0

zbMATH Keywords

synchronizationDirichlet boundary controlscoupled system of wave equationsexact boundary synchronizationapproximate boundary synchronization

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Observability (93B07) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (3)

Exact synchronization and asymptotic synchronization for linear ODEs ⋮ Direct numerical simulation of turbulent flow and heat transfer in a spatially developing turbulent boundary layer laden with particles ⋮ Minimal time control of exact synchronization for parabolic systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A hierarchic multi-level energy method for the control of bidiagonal and mixed \(n\)-coupled cascade systems of PDE's by a reduced number of controls
• 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
• Observability of coupled systems
• 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 boundary controllability for quasilinear wave equations in a planar tree-like network of strings
• Exact boundary controllability of nodal profile for unsteady flows on a tree-like network of open canals
• Criteria of Kálmán's type for the approximate controllability and the approximate synchronization of a coupled system of wave equations
• Generalized exact boundary synchronization for a coupled system of wave equations
• Exact Boundary Synchronization for a Coupled System of Wave Equations
• Flow control in gas networks: Exact controllability to a given demand
• Exact boundary controllability of nodal profile for quasilinear hyperbolic systems in a tree-like network
• Exact boundary controllability of nodal profile for quasilinear hyperbolic systems
• Exact Boundary Controllability for Quasilinear Hyperbolic Systems on a Tree-Like Network and Its Applications
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Exact Boundary Controllability for Quasi-Linear Hyperbolic Systems
• A Two-Level Energy Method for Indirect Boundary Observability and Controllability of Weakly Coupled Hyperbolic Systems
• Asymptotic controllability and asymptotic synchronization for a coupled system of wave equations with Dirichlet boundary controls
• Exact boundary synchronization for a coupled system of 1-D wave equations
• On the exactly synchronizable state to a coupled system of wave equations
• A note on the exact synchronization by groups for a coupled system of wave equations
• Asymptotic controllability for linear hyperbolic systems
• Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls

This page was built for publication: From phenomena of synchronization to exact synchronization and approximate synchronization for hyperbolic systems