The existence of limit cycle for perturbed bilinear systems
Hanen Damak; Mohamed Ali Hammami; Yeong-Jeu Sun
Kybernetika (2012)
- Volume: 48, Issue: 2, page 177-189
- ISSN: 0023-5954
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topDamak, Hanen, Hammami, Mohamed Ali, and Sun, Yeong-Jeu. "The existence of limit cycle for perturbed bilinear systems." Kybernetika 48.2 (2012): 177-189. <http://eudml.org/doc/247231>.
@article{Damak2012,
abstract = {In this paper, the feedback control for a class of bilinear control systems with a small parameter is proposed to guarantee the existence of limit cycle. We use the perturbation method of seeking in approximate solution as a finite Taylor expansion of the exact solution. This perturbation method is to exploit the “smallness” of the perturbation parameter $\varepsilon $ to construct an approximate periodic solution. Furthermore, some simulation results are given to illustrate the existence of a limit cycle for this class of nonlinear control systems.},
author = {Damak, Hanen, Hammami, Mohamed Ali, Sun, Yeong-Jeu},
journal = {Kybernetika},
keywords = {perturbed bilinear system; feedback control; limit cycle; feedback control; perturbed bilinear system; limit cycle},
language = {eng},
number = {2},
pages = {177-189},
publisher = {Institute of Information Theory and Automation AS CR},
title = {The existence of limit cycle for perturbed bilinear systems},
url = {http://eudml.org/doc/247231},
volume = {48},
year = {2012},
}
TY - JOUR
AU - Damak, Hanen
AU - Hammami, Mohamed Ali
AU - Sun, Yeong-Jeu
TI - The existence of limit cycle for perturbed bilinear systems
JO - Kybernetika
PY - 2012
PB - Institute of Information Theory and Automation AS CR
VL - 48
IS - 2
SP - 177
EP - 189
AB - In this paper, the feedback control for a class of bilinear control systems with a small parameter is proposed to guarantee the existence of limit cycle. We use the perturbation method of seeking in approximate solution as a finite Taylor expansion of the exact solution. This perturbation method is to exploit the “smallness” of the perturbation parameter $\varepsilon $ to construct an approximate periodic solution. Furthermore, some simulation results are given to illustrate the existence of a limit cycle for this class of nonlinear control systems.
LA - eng
KW - perturbed bilinear system; feedback control; limit cycle; feedback control; perturbed bilinear system; limit cycle
UR - http://eudml.org/doc/247231
ER -
References
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