Cooperative control of a magnetically levitated interferometer

Wang, P.K.C.; Yee, John William; Xia, C.; Mokuno, Masaaki; Hadaegh, Fred Y.

doi:10.1109/cca.2004.1387181

Cited by 1 publication

(1 citation statement)

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“…Various applications of distributed cooperative systems have been reported in the literature (e.g., Ren and Beard (2008), Roy et al (2005), Wang et al (2004), Gil et al (2008) and Feddema et al (2002)). In some applications, such as minimum-time rendezvous or leader election (Lynch (1996)), a special class of consensus algorithms called max-consensus has to be used.…”

Section: Introductionmentioning

confidence: 99%

Max-Consensus in a Max-Plus Algebraic Setting: The Case of Switching Communication Topologies

Nejad

Attia

Raisch

2010

IFAC Proceedings Volumes

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Because of their use for distributed decision making, consensus algorithms have attracted a lot of interest in recent years. Coordination between entities requires that they share information over a network, and develop a consistent view regarding objectives and relevant information on the environment, i.e., reach a consensus. In practice, communication topologies may change over time, either as a consequence of disturbances or in an attempt to improve performance. Max-consensus is a specific consensus algorithm, which is particularly important in applications such as minimum time rendezvous and leader election. In this contribution, we propose an approach to analyze max-consensus algorithms in time-variant communication topologies, which is based on max-plus algebra. In this framework max-consensus algorithms become piecewise linear and may be analyzed easily. The conditions needed to achieve maxconsensus and the convergence rate of the algorithm for different communication graphs are studied. This contribution is an extension of the work in Monajemi Nejad et al. (2009), where max-consensus was studied for time-invariant communication topologies.

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