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On Convergence Rate of Leader-Following Consensus of Linear Multi-Agent Systems With Communication Noises
Jan 06, 2017Author：
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Title: On Convergence Rate of Leader-Following Consensus of Linear Multi-Agent Systems With Communication Noises
Authors: Cheng, L; Wang, YP; Ren, W; Hou, ZG; Tan, M
Author Full Names: Cheng, Long; Wang, Yunpen; Ren, Wei; Hou, Zeng-Guang; Tan, Min
Source: IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 61 (11):3586-3892; 10.1109/TAC.2016.2522647 NOV 2016
Language: English
Abstract: This note further studies the previously proposed consensus protocol for linear multi-agent systems with communication noises. Each agent is allowed to have its own time-varying gain to attenuate the effect of communication noises. Therefore, the common assumption that all agents have the same noise-attenuation gain is not necessary. It has been proved that if all noise-attenuation gains are infinitesimal of the same order, then the mean square leader-following consensus can be reached. Furthermore, the convergence rate of the multi-agent system has been investigated. If the noise-attenuation gains belong to a class of functions which are bounded above and below by t(-beta) (beta is an element of (0, 1)) asymptotically, then the second-moment of the relative state between each follower agent and the leader agent is characterized by a function bounded above by t(-beta) asymptotically.
ISSN: 0018-9286
eISSN: 1558-2523
IDS Number: EE8QY
Unique ID: WOS:000389892000033