TY - JOUR
T1 - A simple approach to dynamic stabilization of a rotating body-beam
AU - Chentouf, Boumediène
N1 - Funding Information:
The author acknowledges the support of Sultan Qaboos University.
PY - 2006/1
Y1 - 2006/1
N2 - In this paper, we use the frequency multiplier method to provide a simple proof of an exponential stabilization result, obtained in [B. Chentouf. Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity, J. Appl. Math. 2 (2004) 107-126], for a rotating body-beam system with a control torque applied on the rigid body and either a dynamic boundary control moment or a dynamic boundary control force or both of them applied at the free end of the beam.
AB - In this paper, we use the frequency multiplier method to provide a simple proof of an exponential stabilization result, obtained in [B. Chentouf. Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity, J. Appl. Math. 2 (2004) 107-126], for a rotating body-beam system with a control torque applied on the rigid body and either a dynamic boundary control moment or a dynamic boundary control force or both of them applied at the free end of the beam.
KW - Dynamic boundary control
KW - Exponential stability
KW - Frequency multiplier domain method
KW - Rotating body-beam
UR - http://www.scopus.com/inward/record.url?scp=27644530565&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=27644530565&partnerID=8YFLogxK
U2 - 10.1016/j.aml.2005.03.008
DO - 10.1016/j.aml.2005.03.008
M3 - Article
AN - SCOPUS:27644530565
SN - 0893-9659
VL - 19
SP - 97
EP - 107
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
IS - 1
ER -