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Sufficient conditions for the convergence of a class of nonlinear distributed consensus algorithms

Title:

Sufficient conditions for the convergence of a class of nonlinear distributed consensus algorithms

Ajorlou, Amir, Momeni, Ahmadreza and Aghdam, Amir G. (2011) Sufficient conditions for the convergence of a class of nonlinear distributed consensus algorithms. Automatica, 47 (3). pp. 625-629. ISSN 00051098

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Official URL: http://dx.doi.org/10.1016/j.automatica.2011.01.042

Abstract

This paper is concerned with the convergence of a class of continuous-time nonlinear consensus algorithms for single integrator agents. In the consensus algorithms studied here, the control input of each agent is assumed to be a state-dependent combination of the relative positions of its neighbors in the information flow graph. Using a novel approach based on the smallest order of the nonzero derivative, it is shown that under some mild conditions the convex hull of the agents has a contracting property. A set-valued LaSalle-like approach is subsequently employed to show the convergence of the agents to a common point. The results are shown to be more general than the ones reported in the literature in some cases. An illustrative example demonstrates how the proposed convergence conditions can be verified

Divisions:Concordia University > Gina Cody School of Engineering and Computer Science > Electrical and Computer Engineering
Item Type:Article
Refereed:Yes
Authors:Ajorlou, Amir and Momeni, Ahmadreza and Aghdam, Amir G.
Journal or Publication:Automatica
Date:2011
Digital Object Identifier (DOI):10.1016/j.automatica.2011.01.042
Keywords:Cooperative control; Distributed control; Stability analysis; Autonomous mobile robots; Directed graphs
ID Code:975174
Deposited By: DANIELLE DENNIE
Deposited On:22 Jan 2013 14:29
Last Modified:18 Jan 2018 17:39

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