Open AccessEXPONENTIAL STABILITY OF LAMINATED BEAM WITH CONSTANT DELAY FEEDBACK
Author(s) -
Kassimu Mpungu,
Tijani A. Apalara
Publication year - 2021
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/mma.2021.13759
Subject(s) - constant (computer programming) , dissipation , displacement (psychology) , beam (structure) , exponential decay , control theory (sociology) , stability (learning theory) , transverse plane , exponential stability , physics , term (time) , mechanics , computer science , optics , engineering , structural engineering , nonlinear system , psychology , control (management) , quantum mechanics , artificial intelligence , machine learning , nuclear physics , psychotherapist , thermodynamics , programming language
In this article, we consider a system of laminated beams with an internal constant delay term in the transverse displacement. We prove that the dissipation through structural damping at the interface is strong enough to exponentially stabilize the system under suitable assumptions on delay feedback and coefficients of wave propagation speed.