Distributed containment control of networked fractional-order systems with delay-dependent communications
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 th...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/103912 http://hdl.handle.net/10220/17037 |
| _version_ | 1811693597380050944 |
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| author | Liu, Xueliang Xu, Bugong Xie, Lihua |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Liu, Xueliang Xu, Bugong Xie, Lihua |
| author_sort | Liu, Xueliang |
| collection | NTU |
| description | 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. |
| first_indexed | 2024-10-01T06:54:13Z |
| format | Journal Article |
| id | ntu-10356/103912 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:54:13Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/1039122020-03-07T14:00:33Z Distributed containment control of networked fractional-order systems with delay-dependent communications Liu, Xueliang Xu, Bugong Xie, Lihua School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering 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. Published version 2013-10-30T04:05:45Z 2019-12-06T21:22:55Z 2013-10-30T04:05:45Z 2019-12-06T21:22:55Z 2012 2012 Journal Article 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. https://hdl.handle.net/10356/103912 http://hdl.handle.net/10220/17037 10.1155/2012/840873 en Journal of applied mathematics © 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. application/pdf |
| spellingShingle | DRNTU::Engineering::Electrical and electronic engineering Liu, Xueliang Xu, Bugong Xie, Lihua Distributed containment control of networked fractional-order systems with delay-dependent communications |
| title | Distributed containment control of networked fractional-order systems with delay-dependent communications |
| title_full | Distributed containment control of networked fractional-order systems with delay-dependent communications |
| title_fullStr | Distributed containment control of networked fractional-order systems with delay-dependent communications |
| title_full_unstemmed | Distributed containment control of networked fractional-order systems with delay-dependent communications |
| title_short | Distributed containment control of networked fractional-order systems with delay-dependent communications |
| title_sort | distributed containment control of networked fractional order systems with delay dependent communications |
| topic | DRNTU::Engineering::Electrical and electronic engineering |
| url | https://hdl.handle.net/10356/103912 http://hdl.handle.net/10220/17037 |
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