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Positive consensus of fractional-order multi-agent systems

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Abstract

This paper considers the positive consensus of fractional-order multi-agent systems described by general linear dynamics with the fractional order belonging to (0, 2) via state feedback. Firstly, the distributed positive consensus protocols are given, and then, the necessary and sufficient conditions are gained for the consensus with positive constraint based on the fractional-order stability theory as well as the features of Metzler matrix. Furthermore, some sufficient positive consensus conditions are provided and are reduced to the conditions without the global networked information for the system with \(\alpha \in (0,1]\). Finally, illustration examples are provided to indicate not only the validity but also the superiority of the presented approach, compared with the highly related methods.

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Authors and Affiliations

  1. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Luoyu Road 1037, Wuhan, 430074, China

    Siyu Chen & Housheng Su

  2. Artificial Intelligence School, Wuchang University of Technology, Wuhan, 430223, China

    Qing An

  3. School of Automation, Guangdong University of Technology, Guangzhou, 510006, China

    Yanyan Ye

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  1. Siyu Chen
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  2. Qing An
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  3. Yanyan Ye
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  4. Housheng Su
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Correspondence to Housheng Su.

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Chen, S., An, Q., Ye, Y. et al. Positive consensus of fractional-order multi-agent systems. Neural Comput & Applic 33, 16139–16148 (2021). https://doi.org/10.1007/s00521-021-06213-1

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