Boundary stabilization of a vibrating string with variable length
From MaRDI portal
Publication:6181153
DOI10.1016/j.jmaa.2023.127910zbMath1530.35140arXiv2301.09086OpenAlexW4388461762MaRDI QIDQ6181153
Seyf Eddine Ghenimi, Abdelmouhcene Sengouga
Publication date: 2 January 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.09086
Stabilization of systems by feedback (93D15) Initial-boundary value problems for second-order hyperbolic equations (35L20) Vibrations in dynamical problems in solid mechanics (74H45) Strings (74K05) Moving boundary problems for PDEs (35R37)
Cites Work
- Unnamed Item
- Stabilization of the wave equation with moving boundary
- Observability and stabilization of \(1-D\) wave equations with moving boundary feedback
- Torus maps and the problem of a one-dimensional optical resonator with a quasiperiodically moving wall
- Observability of the 1-D wave equation with mixed boundary conditions in a non-cylindrical domain
- Observability and controllability of the 1-D wave equation in domains with moving boundary
- Boundary controllability and boundary time-varying feedback stabilization of the 1D wave equation in non-cylindrical domains
- On the solution of the wave equation with moving boundaries
- Hamilton's principle for systems of changing mass
- Variational Methods with Applications in Science and Engineering
- On linear vibrational systems with one dimensional damping
- Control and Stabilization for the Wave Equation, Part III: Domain with Moving Boundary
- Asymptotic stability and energy decay rates for solutions of hyperbolic equations with boundary damping
- Exact Observability of a 1-Dimensional Wave Equation on a Noncylindrical Domain
- The rate at which energy decays in a string damped at one end
- Optimal boundary feedback stabilization of a string with moving boundary
This page was built for publication: Boundary stabilization of a vibrating string with variable length
