Robust consensus of multi-agent systems with time-varying delays in noisy environment  

作　　者：CHEN Yao LV JinHu YU XingHuo 

机构地区：[1]Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China [2]School of Electrical and Computer Engineering, RMIT University, Melbourne, VIC 3001, Australia

出　　处：《Science China(Technological Sciences)》2011年第8期2014-2023,共10页中国科学（技术科学英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 60821091, 60772158, 11072254, 61025017);the National Basic Research Program of China ("973" Project) (Grant No. 2007CB310805);the ARC Future Fellowships (Grant No. FT0992226)

摘　　要：Over the last ten years, the consensus of multi-agent systems (MAS) has received increasing attention from mechanics, mathematics, physics, engineering sciences, social sciences, and so on. It is well known that the robustness of consensus of MAS is usually determined by several key factors, including noise, time-delays, and packet drop. In this paper, we introduce a general time-delayed MAS model with noise and also further investigate its robust consensus. In particular, we prove that the proposed algorithm is robust against the bounded time-varying delays and bounded noises. The effectiveness and robustness of the proposed consensus algorithm has been validated in the classical Vicsek model with time-varying delays. And two simulation examples are also given to justify the above theoretical results. These results may have some potential applications in various fields, including mechanics, biology, and engineering sciences.

关 键 词：multi-agent systems time-varying delay noise robust consensus Vicsek model 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TP18[自动化与计算机技术—控制科学与工程]