Distributed Containment Control of Networked Fractional-Order Systems with Delay-Dependent Communications
Joint Authors
Xie, Lihua
Liu, Xueliang
Xu, Bugong
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-12
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Xueliang& Xu, Bugong& Xie, Lihua. 2012. Distributed Containment Control of Networked Fractional-Order Systems with Delay-Dependent Communications. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993749
Modern Language Association (MLA)
Liu, Xueliang…[et al.]. Distributed Containment Control of Networked Fractional-Order Systems with Delay-Dependent Communications. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-993749
American Medical Association (AMA)
Liu, Xueliang& Xu, Bugong& Xie, Lihua. Distributed Containment Control of Networked Fractional-Order Systems with Delay-Dependent Communications. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993749
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993749