Goncalves, Jorge[University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
2009
The proceedings of the Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference
IEEE
2664 - 2669
Yes
978-1-4244-3872-3
Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference
December 15-18, 2009
Shangai
China
[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.