Decentralized final value theorem for discrete-time LTI systems with application to minimal time distributed consensus

Reference : Decentralized final value theorem for discrete-time LTI systems with application to m...


	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	To cite this reference:	http://hdl.handle.net/10993/20361

Title :	Decentralized final value theorem for discrete-time LTI systems with application to minimal time distributed consensus
Language :	English
Author, co-author :	Yuan, Y. [> >]
	Stan, G. B. V. [> >]
	Shi, L. [> >]
	Goncalves, Jorge [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
Publication date :	2009
Main document title :	The proceedings of the Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference
Publisher :	IEEE
Pages :	2664 - 2669
Peer reviewed :	Yes
ISBN :	978-1-4244-3872-3
Event name :	Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference
Event date :	December 15-18, 2009
Event place (city) :	Shangai
Event country :	China
Abstract :	[en] In this study, we consider an unknown discrete-time, linear time-invariant, autonomous system and characterise, the minimal number of discrete-time steps necessary to compute the asymptotic final value of a state. The results presented in this paper have a direct link with the celebrated final value theorem. We apply these results to the design of an algorithm for minimal-time distributed consensus and illustrate the results on an example.
Permalink :	http://hdl.handle.net/10993/20361
DOI :	10.1109/CDC.2009.5400819
Other URL :	http://www.ieeecss.org/CAB/conferences/cdc2009/index.php

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