1. The existence of limit cycle for perturbed bilinear systems
- Creator:
- Damak, Hanen, Hammami, Mohamed Ali, and Sun, Yeong-Jeu
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- perturbed bilinear system, feedback control, and limit cycle
- Language:
- English
- Description:
- 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 ε 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public