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离散时间多智能体系统的一致性
引用本文:黄勤珍. 离散时间多智能体系统的一致性. 自动化学报, 2012, 38(7): 1127-1133. doi: 10.3724/SP.J.1004.2012.01127
作者姓名:黄勤珍
作者单位:College of Electrical and Information Engineering, Southwest University for Nationalities
基金项目:Supported by National Natural Science Foundation of China(60974148);Program for New Century Excellent Talents in University (NCET-10-0097);Sichuan Youth Science and Technology Fund(2011JQ0011);Southwest University for Nationalities Construction Projects for Graduate Degree Programs (2011XWD-S0805);Southwest University for Nationalities Fundamental Research Funds for the Central Universities (12NZYTH01)
摘    要:研究了离散时间高维线性系统的一致性问题. 所考虑的系统可视为包含多个个体的多智能体系统, 每个个体的动力学行为与其他个体不同并受其他个体状态的影响. 本文建立了系统具有一致性的若干充分必要条件. 如果一致性函数存在, 文章给出了该函数的显式表达. 文末用一个数值例子说明了所得的理论结果.

关 键 词:一致性   时滞   高维系统   一致性函数   离散时间系统
收稿时间:2010-07-09
修稿时间:2011-04-10

Consensus Analysis of Multi-agent Discrete-time Systems
HUANG Qin-Zhen. Consensus Analysis of Multi-agent Discrete-time Systems. ACTA AUTOMATICA SINICA, 2012, 38(7): 1127-1133. doi: 10.3724/SP.J.1004.2012.01127
Authors:HUANG Qin-Zhen
Affiliation:College of Electrical and Information Engineering, Southwest University for Nationalities, Chengdu 610041, P. R. China
Abstract:This paper addresses the consensus problem of discrete-time high-dimensional linear systems with or without delays. The considered system can be viewed as a multi-agent system consisting of multiple agents, each of which possesses its dynamics distinct from the others and is in°uenced by the states of all the other agents. This study establishes some necessary and sufficient conditions under which the system solves a consensus problem and explicitly expresses the consensus function if the system has a consensus property. The effectiveness of the obtained results is verified by a numerical example.
Keywords:Consensus  delay  high-dimensional system  consensus function  discrete-time systems
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