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Sampled‐data consensus of nonlinear multiagent systems subject to cyber attacks
Author(s) -
Zhang Wenbing,
Wang Zidong,
Liu Yurong,
Ding Derui,
Alsaadi Fuad E.
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.3855
Subject(s) - nonlinear system , piecewise , multi agent system , computer science , lyapunov function , class (philosophy) , consensus , sampling (signal processing) , mathematical optimization , mathematics , artificial intelligence , physics , quantum mechanics , mathematical analysis , filter (signal processing) , computer vision
Summary This paper is concerned with the sampled‐data consensus problem for a class of nonlinear multiagent systems subject to cyber attacks. The considered attacks are assumed to be recoverable, which destroy the connectivity of the network topology with directed spanning tree. In light of the designed sampled‐data control protocol, a more general switched system is proposed to model both the cyber attacks and the sampled‐data mechanism within a unified framework. Then, by using the contradiction methods, the solution of a class of differential equations is provided to deal with the technical challenge resulting from the switching and sampling issues. Furthermore, in terms of such a solution combined with the constructed piecewise Lyapunov function, sufficient conditions are derived under which the nonlinear multiagent systems subject to attacks achieve the consensus exponentially. The relationship between the attack frequency and the sampling period is also revealed through the obtained conditions. Finally, simulations are given to show the effectiveness of the proposed results.