TY - JOUR
T1 - Stability result of the Timoshenko system with delay and boundary feedback
AU - Said-Houari, Belkacem
AU - Soufyane, Abdelaziz
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2012/1/6
Y1 - 2012/1/6
N2 - Our interest in this paper is to analyse the asymptotic behaviour of a Timoshenko beam system together with two boundary controls, with delay terms in the first and second equation. Assuming the weights of the delay are small enough, we show that the system is well-posed using the semigroup theory. Furthermore, we introduce a Lyapunov functional that gives the exponential decay of the total energy. © 2012 The author.
AB - Our interest in this paper is to analyse the asymptotic behaviour of a Timoshenko beam system together with two boundary controls, with delay terms in the first and second equation. Assuming the weights of the delay are small enough, we show that the system is well-posed using the semigroup theory. Furthermore, we introduce a Lyapunov functional that gives the exponential decay of the total energy. © 2012 The author.
UR - http://hdl.handle.net/10754/562056
UR - https://academic.oup.com/imamci/article-lookup/doi/10.1093/imamci/dnr043
UR - http://www.scopus.com/inward/record.url?scp=84866101793&partnerID=8YFLogxK
U2 - 10.1093/imamci/dnr043
DO - 10.1093/imamci/dnr043
M3 - Article
SN - 0265-0754
VL - 29
SP - 383
EP - 398
JO - IMA Journal of Mathematical Control and Information
JF - IMA Journal of Mathematical Control and Information
IS - 3
ER -