Exponential stability estimates for an axially travelling string damped at one end

DOI10.1080/00036811.2023.2194307zbMATH Open1548.35058MaRDI QIDQ6607930

Abdelmouhcene Sengouga, Seyf Eddine Ghenimi

Publication date: 19 September 2024

Published in: Applicable Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Series solutions to PDEs (35C10) Strings (74K05)

Cites Work

• Exponential stabilization of an axially moving string by linear boundary feedback
• Exact boundary observability and controllability of the wave equation in an interval with two moving endpoints
• Hamilton's principle for systems of changing mass
• Variational Methods with Applications in Science and Engineering
• The Wave Equation in a Medium in Motion
• On linear vibrational systems with one dimensional damping
• Asymptotic stability and energy decay rates for solutions of hyperbolic equations with boundary damping
• Dynamic Analysis of the Axially Moving String Based on Wave Propagation
• The rate at which energy decays in a string damped at one end
• Vibration Control of an Axially Moving String by Boundary Control

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