Asymptotic behavior of the Timoshenko-type system with nonlinear boundary control

DOI10.1515/apam-2018-0005zbMath1437.35063OpenAlexW2797458168MaRDI QIDQ1999704

Ahmed Bchatnia, Mohamed Ali Ayadi

Publication date: 27 June 2019

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam-2018-0005

zbMATH Keywords

explicit and general decay result

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Initial-boundary value problems for second-order hyperbolic systems (35L53)

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Cites Work

• Stabilization of the Timoshenko beam system with restricted boundary feedback controls
• General decay in a Timoshenko-type system with thermoelasticity with second sound
• Boundary feedback stabilization of Timoshenko beam with boundary dissipation
• Exponential decay rate for a Timoshenko beam with boundary damping
• Mildly dissipative nonlinear Timoshenko systems -- global existence and exponential stability.
• Polynomial stability of the Timoshenko system by one boundary damping
• Boundary Control of the Timoshenko Beam