D-Observability for a Coupled System of Wave Equations on Right Angle Triangles

DOI10.1051/cocv/2023081OpenAlexW4388693025MaRDI QIDQ6192285

Chengxia Zu

Publication date: 11 March 2024

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2023081

zbMATH Keywords

tilingKalman's rank conditiondiagonalizable systems of wave equationsD-observability

Mathematics Subject Classification ID

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

Cites Work

• Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle for the discrete case.
• Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle
• Sufficiency of Kalman's rank condition for the approximate boundary controllability on an annular domain
• Asymptotic boundary observability for the wave equation on one side of a planar triangle
• 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
• Asymptotic synchronization of a coupled system of wave equations on a rectangular domain with reflecting sides
• Boundary Synchronization for Hyperbolic Systems
• Internal observability of the wave equation in tiled domains

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