Existence and stabilization of a Kirchhoff moving string with a distributed delay in the boundary feedback

DOI10.1051/mmnp/2017069zbMath1387.35396OpenAlexW2783390723MaRDI QIDQ4607602

Nasser-eddine Tatar, Abdelkarim Kelleche

Publication date: 14 March 2018

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/2017069

zbMATH Keywords

boundary controlmultiplier techniqueFaedo-Galerkin methodaxially moving string

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Initial-boundary value problems for second-order hyperbolic equations (35L20) Asymptotic stability in control theory (93D20) Strings (74K05)

Related Items

On stabilization of an axially moving string with a tip mass subject to an unbounded disturbance ⋮ Boundary stabilization for axially moving Kirchhoff string under fractional PI control ⋮ Existence and stabilization of a Kirchhoff moving string with a distributed delay in the boundary feedback ⋮ Uniform stabilization of a nonlinear axially moving string by a boundary control of memory type ⋮ Existence and energy decay of solution to a nonlinear viscoelastic two-dimensional beam with a delay

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