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Average consensus problems in networks of agents with delayed communications

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2 Author(s)
Bliman, P. ; Institut National de Recherche en Informatique et en Automatique, Domaine de Voluceau, B.P.105, 78153, Le Chesnay Cedex, France. Email: Pierre-Alexandre.Bliman@inria.fr. Tel: +33 (0)1 39 63 59 21, Fax: +33(0)1 39 63 55 68. ; Ferrari-Trecate, G.

The present paper is devoted to the study of average consensus problems for undirected networks of dynamic agents having communication delays. The accent is put here on the study of the time-delays influence: both constant and time-varying delays are considered, as well as uniform and non uniform repartitions of the delays in the network. The main results provide sufficient conditions (also necessary in most cases) for existence of average consensus under bounded, but otherwise unknown, communication delays. Simulations are provided that show adequation with these results.

Published in:

Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on

Date of Conference:

12-15 Dec. 2005