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Author Touri, B. ♦ Basar, T. ♦ Nedic, A.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2012
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Kernel ♦ Lyapunov methods ♦ Silicon ♦ Trajectory ♦ Convergence ♦ Aerospace electronics ♦ Limiting
Abstract In this paper, we present a framework for studying distributed averaging dynamics over general state spaces. We define several modes of ergodicity and consensus for such dynamics and show that, unlike for a finite dimensional space, these modes are not equivalent. Motivated by the role of the infinite flow property in ergodicity in finite dimensional spaces, we define the infinite flow property for averaging dynamics in general state spaces. We show that this property is a necessary condition for the weakest form of ergodicity. Also, we characterize a class of quadratic Lyapunov comparison functions for certain averaging dynamics and provide a relation capturing the decrease of these functions along the trajectories of the dynamics.
Description Author affiliation: Coordinated Science Laboratory, University of Illinois, Urbana, 61801, USA (Touri, B.; Basar, T.; Nedic, A.)
ISBN 9781467320658
ISSN 07431546
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2012-12-10
Publisher Place USA
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
e-ISBN 9781467320665
Size (in Bytes) 260.55 kB
Page Count 6
Starting Page 62
Ending Page 67

Source: IEEE Xplore Digital Library