Uniform stabilization of a nonlinear axially moving string by a boundary control of memory type

DOI10.1007/s10883-017-9370-yzbMath1391.35055OpenAlexW2623445942MaRDI QIDQ1743678

Abdelkarim Kelleche, Amirouche Berkani, Nasser-eddine Tatar

Publication date: 13 April 2018

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-017-9370-y

zbMATH Keywords

uniform decaytransversal displacement

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (45K05) Strings (74K05) PDEs in connection with control and optimization (35Q93)

Related Items (8)

Existence and Boundary Control of a Nonlinear Axially Moving String Subject to Disturbances ⋮ A new stability result for a flexible satellite system with viscoelastic damping ⋮ On stabilization of an axially moving string with a tip mass subject to an unbounded disturbance ⋮ Adaptive boundary stabilization of a nonlinear axially moving string ⋮ Stabilisation of a viscoelastic flexible marine riser under unknown spatiotemporally varying disturbance ⋮ VIBRATION CONTROL OF A VISCOELASTIC FLEXIBLE MARINE RISER WITH VESSEL DYNAMICS ⋮ Stabilization of a nonlinear Euler-Bernoulli beam ⋮ BOUNDARY CONTROL AND STABILIZATION OF AN AXIALLY MOVING VISCOELASTIC STRING UNDER A BOUNDARY DISTURBANCE

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