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Title: Decentralised final value theorem for discrete-time LTI systems with application to minimal-time distributed consensus
Authors: Yuan, Ye
Stan, Guy-Bart
Shi, Ling
Gonçalves, Jorge
Keywords: Discrete-time systems
Final value theorem
Linear systems theory
Issue Date: Dec-2009
Citation: Proceedings Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, 16-18 December 2009, Shanghai, China, p. 2664-2669
Abstract: 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.
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