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Finite-Time Consensus in Undirected/Directed Network Topologies

[+] Author Affiliations
Mohammad Reza Doostmohammadian, Hassan Sayyaadi

Sharif University of Technology, Tehran, Iran

Paper No. ESDA2010-24012, pp. 1-6; 6 pages
doi:10.1115/ESDA2010-24012
From:
  • ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis
  • ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis, Volume 5
  • Istanbul, Turkey, July 12–14, 2010
  • Conference Sponsors: International
  • ISBN: 978-0-7918-4919-4 | eISBN: 978-0-7918-3877-8
  • Copyright © 2010 by ASME

abstract

The main contribution of this paper is to introduce a novel non-Lipschitz protocol that guarantees consensus in finite-time domain. Its convergence in networks with both unidirectional and bidirectional links is investigated via Lyapunov Theorem approach. It is also proved that final agreement value is equal to average of agents’ states for the bidirectional communication case. In addition effects of communication time-delay on stability are assessed and two other continuous Lipschitz protocols are also analyzed.

Copyright © 2010 by ASME
Topics: Networks

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