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Stability of a thermoelastic laminated system subject to a neutral delay
Author(s) -
Seghour Lamia,
Tatar Nassereddine,
Berkani Amirouche
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5878
Subject(s) - thermoelastic damping , mathematics , dissipation , heat equation , work (physics) , exponential stability , slip (aerodynamics) , stability (learning theory) , mathematical analysis , polynomial , control theory (sociology) , mechanics , physics , thermodynamics , nonlinear system , thermal , computer science , control (management) , quantum mechanics , machine learning , artificial intelligence
In this work, we consider a system of two identical beams of uniform thickness modeled as a Timoshenko system. The slip between the beams is taken into account, and the system is coupled with a heat equation. Moreover, the slip equation is subject to a distributed delay of neutral type. Delays are known to be of a destructive nature in general. Therefore, here, the delay will compete with a frictional damping and the dissipation produced by the heat equation. We provide sufficient conditions ensuring exponential and polynomial stability of the structure.