Null controllability of the structurally damped wave equation with moving point control

2011/11/20 by Philippe Martin, Martin, Philippe, Lionel Rosier +3
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1111.4655

openalex publication_date 2011/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the internal controllability of the wave equation with structural damping on the one dimensional torus. We assume that the control is acting on a moving point or on a moving small interval with a constant velocity. We prove that the null controllability holds in some suitable Sobolev space and after a fixed positive time independent of the initial conditions.

Related

• Null-controllability properties of the wave equation with a second order\n memory term
• Null controllability of damped nonlinear wave equation
• Null Controllability for Wave Equations with Memory
• Null controllability of some degenerate wave equations
• Null Controllability of a System of Viscoelasticity with a Moving\n Control