DocumentCode
1378063
Title
Consensus Over Numerosity-Constrained Random Networks
Author
Abaid, Nicole ; Porfiri, Maurizio
Author_Institution
Dept. of Mech. & Aerosp. Eng., Polytech. Inst. of New York Univ., Brooklyn, NY, USA
Volume
56
Issue
3
fYear
2011
fDate
3/1/2011 12:00:00 AM
Firstpage
649
Lastpage
654
Abstract
We analyze the discrete-time consensus problem for a group of agents that communicate through a stochastic directed network with fixed out-degree. This network construction models the perceptual phenomenon of numerosity observed in animal groups exhibiting collective behavior. We find necessary and sufficient conditions for mean square consentability of the averaging protocol and we derive a closed form expression for the asymptotic convergence factor. Analytical results are illustrated through simulations.
Keywords
asymptotic stability; closed loop systems; discrete time systems; random processes; stochastic systems; animal groups; asymptotic convergence factor; averaging protocol; collective behavior; discrete-time consensus problem; mean square consentability; necessary condition; numerosity constrained random network; perceptual phenomenon; stochastic directed network; sufficient condition; Consensus; network analysis and control; random graphs; stability of linear systems; stochastic systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2010.2092270
Filename
5635321
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