dc.contributor.authorLiu, Xueliang
dc.contributor.authorXu, Bugong
dc.contributor.authorXie, Lihua
dc.identifier.citationLiu, X., Xu, B., & Xie, L. (2012). Distributed Containment Control of Networked Fractional-Order Systems with Delay-Dependent Communications. Journal of Applied Mathematics, 2012, 1-13.en_US
dc.description.abstractThis paper is concerned with a containment problem of networked fractional-order system with multiple leaders under a fixed directed interaction graph. Based on the neighbor rule, a distributed protocol is proposed in delayed communication channels. By employing the algebraic graph theory, matrix theory, Nyquist stability theorem, and frequency domain method, it is analytically proved that the whole follower agents will flock to the convex hull which is formed by the leaders. Furthermore, a tight upper bound on the communication time-delay that can be tolerated in the dynamic network is obtained. As a special case, the interconnection topology under the undirected case is also discussed. Finally, some numerical examples with simulations are presented to demonstrate the effectiveness and correctness of the theoretical results.en_US
dc.relation.ispartofseriesJournal of applied mathematicsen_US
dc.rights© 2012 Xueliang Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
dc.subjectDRNTU::Engineering::Electrical and electronic engineering
dc.titleDistributed containment control of networked fractional-order systems with delay-dependent communicationsen_US
dc.typeJournal Article
dc.contributor.schoolSchool of Electrical and Electronic Engineeringen_US
dc.description.versionPublished version

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