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International Journal of Systems Science Volume 48, 2017 - Issue 3
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Original Articles

The consensus region design and analysis of fractional-order multi-agent systems

Xi MaDepartment of Aerospace Engineering, High-Tech Institute of Xi’an, Xi’an, China;Department of Computer Science and Technology, Tsinghua University, Beijing, ChinaCorrespondence[email protected]
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,
Fuchun SunDepartment of Computer Science and Technology, Tsinghua University, Beijing, ChinaView further author information
,
Hongbo LiDepartment of Computer Science and Technology, Tsinghua University, Beijing, ChinaView further author information
&
Bin HeDepartment of Aerospace Engineering, High-Tech Institute of Xi’an, Xi’an, ChinaView further author information
Pages 629-636 | Received 04 Nov 2015, Accepted 26 Jul 2016, Published online: 12 Aug 2016
 
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ABSTRACT

The consensus problem of fractional-order multi-agent systems is studied in this paper. To achieve consensus, a fractional-order observer-type consensus protocol based on relative output measurements is proposed and its stability is also certified theoretically. The notion of consensus region for fractional-order dynamic is introduced and analysed. A multistep consensus protocol design procedure is presented for given consensus region. Several numerical simulations are given to demonstrate the effectiveness of the theoretical results.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the Natural Science Foundation of P.R. China [grant number 61403399].

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