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

被引：20

作者：

Yuan, Ye ^{[1
]}

Stan, Guy-Bart ^{[1
]}

Shi, Ling ^{[2
]}

Goncalves, Jorge ^{[1
]}

机构：

[1] Univ Cambridge, Dept Engn, Control Grp, Cambridge CB2 1PZ, England

[2] Hong Kong Univ Sci & Technol, Dept Elect & Comp Engn, Hong Kong, Peoples R China

来源：

PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年

基金：

英国生物技术与生命科学研究理事会; 英国工程与自然科学研究理事会;

关键词：

D O I：

10.1109/CDC.2009.5400819

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：2664 / 2669

页数：6

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