Title of article
Stabilization and Riesz basis property for an overhead crane model with feedback in velocity and rotating velocity
Author/Authors
Augustin، Toure K. نويسنده Institut National Polytechnique Houphouët-Boigny de Yamoussoukro, BP 1093 Yamoussoukro, Côte dIvoire , , Patrice، Mensah E. نويسنده Institut National Polytechnique Houphouët-Boigny de Yamoussoukro, BP 2444 Yamoussoukro, Côte dIvoire , , Mathurin، Taha M. نويسنده Institut National Polytechnique Houphouët-Boigny de Yamoussoukro, BP 2444 Yamoussoukro, Côte dIvoire ,
Issue Information
روزنامه با شماره پیاپی سال 2014
Pages
14
From page
1
To page
14
Abstract
This paper studies a variant of an overhead crane modelʹs problem, with a control force in velocity and rotating velocity on the platform. We obtain under certain conditions the well-posedness and the strong stabilization of the closed-loop system. We then analyze the spectrum of the system. Using a method due to Shkalikov, we prove the existence of a sequence of generalized eigenvectors of the system, which forms a Riesz basis for the state energy Hilbert space.
Journal title
Journal of Nonlinear Analysis and Application
Serial Year
2014
Journal title
Journal of Nonlinear Analysis and Application
Record number
1362057
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