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

Authors Yuan, Ye
Stan, Guy-Bart
Shi, Ling
Goncalves, Jorge
Issue Date 2009
Source Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes , 2009, p. 2664-2669
Summary In this study, we consider an unknown discretetime, 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. ©2009 IEEE.
ISSN 0191-2216
ISBN 9781424438723
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Language English
Format Conference paper
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