Containment control of heterogeneous fractional-order multi-agent systems

Containment control of heterogeneous fractional-order multi-agent systems
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异构分数阶多智能体系统的遏制控制

DOI:
10.1016/j.jfranklin.2017.09.034
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发表时间:
2017-10
期刊:
Journal of the Franklin Institute
影响因子:
--
通讯作者:
Guo Lei
Guo Lei
中科院分区:
其他
文献类型:
--
作者:
Yang Hong Yong;Yang Yize;Han Fujun;Zhao Mei;Guo Lei

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由于许多网络系统在复杂环境下只能用分数阶动力学来描述,分数阶微积分得到了深入的研究。当网络系统中不同的智能体表现出不同的个体特征时,可以用具有异构性的分数阶动力学来描述多智能体系统。基于智能体的行为特征,提出了一种具有不同动力学方程的复合分数阶多智能体系统(FOMAS)。假设FOMAS中存在多个先导智能体,研究了具有有向加权拓扑的FOMAS的包容共识控制问题。利用分数阶算子的频域分析理论,得到了保证具有通信时延的异类FOMAS的包容控制的时延上界。本文关于时滞分数阶动态的一致结果可以推广到整数阶模型。最后,通过仿真算例对结果进行了验证。
Fractional-order calculus has been studied deeply because many networked systems can only be described with fractional-order dynamics in complex environments. When different agents of networked systems show diverse individual features, fractional-order dynamics with heterogeneous characters will be used to illustrate the multi-agent systems (MAS). Based on the distinguishing behaviors of agents, a compounded fractional-order multi-agent systems(FOMAS) is presented with diverse dynamical equations. Suppose multiple leader agents existing in FOMAS, containment consensus control of FOMAS with directed weighted topologies is studied. By applying frequency domain analysis theory of the fractional-order operator, an upper bound of delays is obtained to ensure containment controls of heterogenous FOMAS with communication delays. The consensus results of delayed fractional-order dynamics in this paper can be expanded to the integer-order models. Finally, the results are verified by simulation examples.
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