Consensus of multi-agent directed networks with nonlinear perturbations via impulsive control

Author

Xiong, Wenjun ; Ho, Daniel W C

Author_Institution

Dept. of Math., City Univ. of Hong Kong, Hong Kong, China

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

5804

Lastpage

5808

Abstract

In this paper, consensus problems of a multi-agent directed network with nonlinear perturbations is considered. When the consensus of a directed network may be destroyed by the unknown perturbations, the impulsive control is introduced to ensure the consensus of all nodes. Then, based on a transformation of matrix theory, the original impulsive system is turned into a reduced-order impulsive system, and a sufficient criterion is obtained to guarantee the consensus of all agents. Finally, an example is provided to illustrate the effectiveness of the gained criterion.

Keywords

matrix algebra; multi-agent systems; nonlinear control systems; perturbation techniques; reduced order systems; impulsive control; matrix theory; multi-agent directed networks; nonlinear perturbations; reduced-order impulsive system; Biological system modeling; Biological systems; Birds; Clocks; Educational institutions; Graph theory; Laplace equations; Marine animals; Rhythm; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5399601

Filename

5399601