A note on the indirect controls for a coupled system of wave equations

DOI10.1007/s11401-022-0328-3zbMath1504.93026OpenAlexW4312982921MaRDI QIDQ2094303

Bopeng Rao, Ta-Tsien Li

Publication date: 28 October 2022

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-022-0328-3

zbMATH Keywords

approximate controllabilitycoupled system of wave equationsindirect controls

Mathematics Subject Classification ID

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

Related Items (1)

Approximate internal controllability and synchronization of a coupled system of wave equations

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
• Indirect internal stabilization of weakly coupled evolution equations
• Semigroups of linear operators and applications to partial differential equations
• Influence of the hidden regularity on the stability of partially damped systems of wave equations
• A general framework for the study of indirect damping mechanisms in elastic systems
• On the sensitivity of the transmission of boundary dissipation for strongly coupled and indirectly damped systems of wave equations
• Exact controllability of a cascade system of conservative equations
• Controllability of two coupled wave equations on a compact manifold
• Polynomial decay for a hyperbolic-parabolic coupled system
• Criteria of Kalman's Type to the Approximate Controllability and the Approximate Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls
• Sufficiency of Kalman's rank condition for the approximate boundary controllability on a spherical domain
• Boundary Synchronization for Hyperbolic Systems
• On the approximate boundary synchronization for a coupled system of wave equations: direct and indirect controls
• A note on the exact synchronization by groups for a coupled system of wave equations

This page was built for publication: A note on the indirect controls for a coupled system of wave equations