Asymptotic controllability and asymptotic synchronization for a coupled system of wave equations with Dirichlet boundary controls

DOI10.1016/J.CRMA.2013.09.013zbMath1276.93018OpenAlexW2061262382MaRDI QIDQ386667

Bopeng Rao, Ta-Tsien Li

Publication date: 10 December 2013

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2013.09.013

zbMATH Keywords

asymptotic synchronizationDirichlet boundary controlscoupled system of wave equationsasymptotic controllability

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Second-order hyperbolic systems (35L51)

Related Items (1)

On the influence of the coupling on the dynamics of single-observed cascade systems of PDE's

Cites Work

• Exact boundary synchronization for a coupled system of 1-D wave equations with coupled boundary conditions of dissipative type
• A spectral approach to the indirect boundary control of a system of weakly coupled wave equations
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• A Two-Level Energy Method for Indirect Boundary Observability and Controllability of Weakly Coupled Hyperbolic Systems
• Asymptotic controllability for linear hyperbolic systems
• Asymptotic controllability for linear hyperbolic systems
• 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

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