The existence of limit cycle for perturbed bilinear systems

Title:

The existence of limit cycle for perturbed bilinear systems

Creator:

Damak, Hanen, Hammami, Mohamed Ali, and Sun, Yeong-Jeu

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:d35bfb4b-7d5e-4179-823f-8ce26163ba80
uuid:d35bfb4b-7d5e-4179-823f-8ce26163ba80

Subject:

perturbed bilinear system, feedback control, and limit cycle

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[177]-189

Source:

Kybernetika | 2012 Volume:48 | Number:2

Harvested from:

CDK

Metadata only:

false