Finite-time consensus and stability of networked nonlinear systems

Author

Zoghlami, Naim ; Beji, Lotfi ; Mlayeh, Rhouma ; Abichou, Azgal

Author_Institution

IBISC EA 4526 Lab., Univ. of Evry, Evry, France

fYear

2013

fDate

10-13 Dec. 2013

Firstpage

6604

Lastpage

6609

Abstract

This paper considers the finite-time consensus and stability problems of networked nonlinear systems under an undirected fixed graph. A nonlinear system takes a general form of a controlled first-order differential equation with/without drift term. Sufficient conditions for finite-time consensus and stabilization of networked nonlinear systems are achieved. In multi-system formation, the proposed theoretical approach generalizes the literature results for multi-agent stability and consensus. Heterogenous/homogeneous multi-system formation is a direct application of the given analysis. Some examples are integrated for illustration.

Keywords

differential equations; graph theory; multi-agent systems; networked control systems; nonlinear control systems; stability; controlled first-order differential equation; drift term; finite-time consensus; heterogenous multisystem formation; homogeneous multisystem formation; multiagent stability; networked nonlinear system stabilization; undirected fixed graph; Artificial neural networks; Mathematical model; Network topology; Nonlinear systems; Protocols; Stability analysis; Topology;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on

Conference_Location

Firenze

ISSN

0743-1546

Print_ISBN

978-1-4673-5714-2

Type

conf

DOI

10.1109/CDC.2013.6760934

Filename

6760934