TY - JOUR
T1 - Exponential stabilization of the rotating disk-beam system with an interior infinite memory control
T2 - A minimal state framework
AU - Chentouf, Boumediène
N1 - Publisher Copyright:
© 2019 Elsevier Ltd
PY - 2019/6
Y1 - 2019/6
N2 - This article is consecrated to the asymptotic analysis of the rotating disk-beam system subject to an interior infinite memory. Within the minimal state framework, we are able to show that the system is well-posed and its solutions exponentially converge to their equilibrium state. The proof of such outcomes requires a reasonable boundedness condition on the angular velocity of the disk and standard assumptions on the memory kernel involved in the memory term.
AB - This article is consecrated to the asymptotic analysis of the rotating disk-beam system subject to an interior infinite memory. Within the minimal state framework, we are able to show that the system is well-posed and its solutions exponentially converge to their equilibrium state. The proof of such outcomes requires a reasonable boundedness condition on the angular velocity of the disk and standard assumptions on the memory kernel involved in the memory term.
KW - Interior infinite memory
KW - Minimal state variable
KW - Rotating disk-beam
KW - Stability
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U2 - 10.1016/j.aml.2019.01.023
DO - 10.1016/j.aml.2019.01.023
M3 - Article
AN - SCOPUS:85060864789
SN - 0893-9659
VL - 92
SP - 158
EP - 164
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
ER -