Exact Boundary Synchronization by Groups for a Coupled System of Wave Equations with Coupled Robin Boundary Controls on a General Bounded Domain

DOI10.1137/21M1397258zbMath1475.93059MaRDI QIDQ5013564

Bopeng Rao, Xing Lü, Ta-Tsien Li

Publication date: 1 December 2021

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

zbMATH Keywords

synchronizationKalman's rank conditioncondition of compatibilityFredholm's theorycoupled Robin condition

Mathematics Subject Classification ID

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

Related Items (5)

Exactly Synchronizable State and Approximate Controllability for a Coupled System of Wave Equations with Locally Distributed Controls ⋮ Exact internal controllability and exact internal synchronization for a kind of first order hyperbolic system ⋮ Exact boundary synchronization by groups for a kind of system of wave equations coupled with velocities ⋮ Uniqueness of solution to systems of elliptic operators and application to asymptotic synchronization of linear dissipative systems. II: case of multiple feedback dampings ⋮ Exact boundary synchronization for a kind of first order hyperbolic system

Cites Work

• Unnamed Item
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• Exact synchronization by groups for a coupled system of wave equations with Dirichlet boundary controls
• Functional analysis, Sobolev spaces and partial differential equations
• Compact sets in the space \(L^ p(0,T;B)\)
• Regularity theory of hyperbolic equations with non-homogeneous Neumann boundary conditions. II: General boundary data
• Exact boundary synchronization for a coupled system of wave equations with Neumann boundary controls
• Optimal control problem for exact synchronization of parabolic system
• Bipartite consensus for a network of wave equations with time-varying disturbances
• Averaged control
• Criteria of Kalman's Type to the Approximate Controllability and the Approximate Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls
• Approximate Boundary Null Controllability and Approximate Boundary Synchronization for a Coupled System of Wave Equations with Neumann Boundary Controls
• Approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary conditions
• Exact boundary controllability and exact boundary synchronization for a coupled system of wave equations with coupled Robin boundary controls
• Boundary Synchronization for Hyperbolic Systems
• On the approximate boundary synchronization for a coupled system of wave equations: direct and indirect controls
• Asymptotic controllability and asymptotic synchronization for a coupled system of wave equations with Dirichlet boundary controls
• Optimisation and adaptation of synchronisation controllers for networked second-order infinite-dimensional systems
• ORBITAL STABILITY OF PERIODIC TRAVELING WAVE SOLUTIONS TO THE GENERALIZED LONG-SHORT WAVE EQUATIONS
• On the exactly synchronizable state to a coupled system of wave equations
• Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls
• Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls
• Averaged controllability for random evolution Partial Differential Equations

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