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Robust node‐to‐node consensus of linear multiagent systems with directed switching topologies subject to uncertain pinning communications
Author(s) -
Wang Peijun,
Yu Wenwu,
Yu Xinghuo
Publication year - 2017
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3990
Subject(s) - node (physics) , network topology , multi agent system , lyapunov function , consensus , computer science , control theory (sociology) , topology (electrical circuits) , lyapunov stability , control (management) , layer (electronics) , mathematical optimization , distributed computing , mathematics , computer network , nonlinear system , engineering , artificial intelligence , chemistry , physics , structural engineering , organic chemistry , quantum mechanics , combinatorics
Summary This paper is focused on the node‐to‐node consensus problem of multiagent systems consisting of general linear node dynamics under directed switching topologies. Specifically, it is assumed that the multiagent systems under consideration have 2 layers, ie, leader layer and follower layer. When uncertainties on the pinning links between the 2 layers exist, the coordination goal is to present some robust control laws, which are distributed such that the states of each follower asymptotically converge to those of its corresponding leader. By using tools from M ‐matrix theory and multiple Lyapunov methods, some sufficient criteria are derived to achieve this goal. Finally, 2 simulation examples are performed to validate the effectiveness of the theoretical results.