Stabilization of homogeneous polynomial systems in the plane

Title:

Stabilization of homogeneous polynomial systems in the plane

Creator:

Jerbi, Hamadi, Kharrat, Thouraya, and Sioud, Khaled

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:e7964370-a9a5-49b3-a9dc-d4eea14d2f26
uuid:e7964370-a9a5-49b3-a9dc-d4eea14d2f26

Subject:

polynomial system, control system, homogeneous feedback, and stabilization

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, we study the problem of stabilization via homogeneous feedback of single-input homogeneous polynomial systems in the plane. We give a complete classification of systems for which there exists a homogeneous stabilizing feedback that is smooth on R2∖{(0,0)} and preserve the homogeneity of the closed loop system. Our results are essentially based on Theorem of Hahn in which the author gives necessary and sufficient conditions of stability of homogeneous systems in the plane.

Language:

English

Rights:

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

Coverage:

[131]-152

Source:

Kybernetika | 2016 Volume:52 | Number:1

Harvested from:

CDK

Metadata only:

false