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Title: Distributed containment control of networked fractional-order systems with delay-dependent communications
Authors: Liu, Xueliang
Xu, Bugong
Xie, Lihua
Keywords: DRNTU::Engineering::Electrical and electronic engineering
Issue Date: 2012
Source: Liu, 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.
Series/Report no.: Journal of applied mathematics
Abstract: This 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.
DOI: 10.1155/2012/840873
Schools: School of Electrical and Electronic Engineering 
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.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

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