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Necessary and sufficient conditions for bounded distributed mean square tracking of multi‐agent systems with noises
Author(s) -
Li Wuquan,
Li Tao,
Xie Lihua,
Zhang JiFeng
Publication year - 2015
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.3327
Subject(s) - bounded function , algebraic graph theory , multi agent system , tracking (education) , computer science , control theory (sociology) , graph , mean square , algebraic connectivity , algebraic number , state (computer science) , directed graph , mathematics , topology (electrical circuits) , control (management) , mathematical optimization , algorithm , theoretical computer science , artificial intelligence , laplacian matrix , combinatorics , psychology , mathematical analysis , pedagogy
Summary This paper is concerned with the distributed control problem of second‐order agents under directed network topology. The control input of each agent only depends on its own state and the states of its neighbors corrupted by white noises. By using the algebraic graph theory and stochastic analysis method, necessary and sufficient conditions are presented for mean square bounded tracking. Finally, several simulation examples are given to illustrate the results. Copyright © 2015 John Wiley & Sons, Ltd.