Exact controllability of wave equations on a circle

2009/12/26 by De-Xing Kong, Kong, De-Xing, Qing‐You Sun +1
Computer Science · Engineering · Mathematics · #35L05 #93B05 #93C20 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.0912.5018

openalex publication_date 2009/12/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the two-point boundary value problems for linear wave equation defined on a circle and prove that the equation possesses the exact controllability. We also investigate the two-point boundary value problems for the wave equation defined on a strip with Dirichlet or Neumann boundary conditions and show that the equation still possesses the exact controllability. see arXiv:0910.5782v1

Citations

• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Exact Controllability, Stabilization and Perturbations for Distributed Systems

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