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Consensus of Fractional-Order Multiagent Systems with Double Integral and Time Delay

机译：具有双积分和时滞的分数阶多主体系统的共识

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摘要

This paper is devoted to the consensus problems for a fractional-order multiagent system (FOMAS) with double integral and time delay, the dynamics of which are double-integrator fractional-order model, where there are two state variables in each agent. The consensus problems are investigated for two types of the double-integrator FOMAS with time delay: the double-integrator FOMAS with time delay whose network topology is undirected topology and the double-integrator FOMAS with time delay whose network topology is directed topology with a spanning tree in this paper. Based on graph theory, Laplace transform, and frequency-domain theory of the fractional-order operator, two maximum tolerable delays are obtained to ensure that the two types of the double-integrator FOMAS with time delay can asymptotically reach consensus. Furthermore, it is proven that the results are also suitable for integer-order dynamical model. Finally, the relationship between the speed of convergence and time delay is revealed, and simulation results are presented as a proof of concept.
机译：本文致力于具有双积分和时滞的分数阶多主体系统（FOMAS）的共识问题，其动力学是双积分分数阶模型，每个主体中都有两个状态变量。研究了两种类型的带时滞的双积分器FOMAS的共识问题：带时间延迟的双积分器FOMAS，其网络拓扑为无向拓扑；带时间延迟的双积分器FOMAS，其网络拓扑为有向拓扑，跨越本文中的树。基于图论，拉普拉斯变换和分数阶算子的频域理论，获得了两个最大可容许延迟，以确保两种类型的带时滞的双积分器FOMAS能够渐近地达成共识。此外，已证明该结果也适用于整数阶动力学模型。最后，揭示了收敛速度与时延之间的关系，并给出了仿真结果作为概念证明。

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  • 来源
    《Mathematical Problems in Engineering》 |2018年第6期|6059574.1-6059574.12|共12页
  • 作者

    Liu Jun; Chen Wei; Qin Kaiyu; Li Ping;

  • 作者单位

    Univ Elect Sci & Technol China, Sch Aeronaut & Astronaut, Chengdu 611731, Sichuan, Peoples R China;

    Chengdu Univ Informat Technol, Coll Control Engn, Chengdu 610225, Sichuan, Peoples R China;

    Univ Elect Sci & Technol China, Sch Aeronaut & Astronaut, Chengdu 611731, Sichuan, Peoples R China;

    Chengdu Univ Informat Technol, Coll Control Engn, Chengdu 610225, Sichuan, Peoples R China;

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