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Positive consensus of fractional-order multi-agent systems
Neural Computing and Applications ( IF 6 ) Pub Date : 2021-07-03 , DOI: 10.1007/s00521-021-06213-1
Siyu Chen 1 , Housheng Su 1 , Qing An 2 , Yanyan Ye 3
Affiliation  

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.



中文翻译:

分数阶多智能体系统的积极共识

本文考虑了由一般线性动力学描述的分数阶多智能体系统的积极共识,分数阶属于(0, 2)通过状态反馈。首先给出了分布式正共识协议,然后基于分数阶稳定性理论以及梅茨勒矩阵的特征,得到了具有正约束的共识的充要条件。此外,还提供了一些充分的正共识条件,并将其简化为具有\(\alpha \in (0,1]\)的系统的没有全局网络信息的条件。最后,提供了说明示例以表明不仅有效性与高度相关的方法相比,还有所提出的方法的优越性。

更新日期:2021-07-04
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