Existence and Boundary Control of a Nonlinear Axially Moving String Subject to Disturbances

DOI10.5890/JAND.2022.06.006zbMath1492.74046MaRDI QIDQ5067563

Nasser-eddine Tatar, Abdelkarim Kelleche

Publication date: 1 April 2022

Published in: Journal of Applied Nonlinear Dynamics (Search for Journal in Brave)

zbMATH Keywords

well-posednessFaedo-Galerkin methodHamilton principleboundary delay termarbitrary decay law

Mathematics Subject Classification ID

Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Existence of solutions of dynamical problems in solid mechanics (74H20) Strings (74K05) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term
• Boundary control of the axially moving Kirchhoff string
• The Riesz basis property of the system of root vectors for the equation of a nonhomogeneous damped string: Transformation operator method
• An iterative learning algorithm for boundary control of a stretched moving string
• Existence and stabilization of a Kirchhoff moving string with a delay in the boundary or in the internal feedback
• Uniform stabilization of a nonlinear axially moving string by a boundary control of memory type
• Uniform stabilization of an axially moving Kirchhoff string by a boundary control of memory type
• Hamilton's principle for systems of changing mass
• Robust adaptive boundary control of an axially moving string under a spatiotemporally varying tension
• Exponential stabilization of an axially moving string with geometrical nonlinearity by linear boundary feedback
• VIBRATION SUPPRESSION OF A NON-LINEAR AXIALLY MOVING STRING BY BOUNDARY CONTROL
• Stabilization of wave systems with input delay in the boundary control
• Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
• An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Riesz Basis Property of Evolution Equations in Hilbert Spaces and Application to a Coupled String Equation
• Control of an axially moving viscoelastic Kirchhoff string
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