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Consensus of Fractional-Order Multiagent Systems with Nonuniform Time Delays

机译:具有非均匀时间延迟的分数多级系统的共识

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摘要

Due to the complex external environment, many multiagent systems cannot be precisely described or even cannot be described by an integer-order dynamical model and can only be described by a fractional-order dynamical model. In this paper, consensus problems are investigated for two types of fractional-order multiagent systems (FOMASs) with nonuniform time delays: FOMAS with symmetric time delays and undirected topology and FOMAS with asymmetric time delays and directed topology. Employing the Laplace transform and the frequency-domain theory, two delay margins are obtained to guarantee the consensus for the two types of FOMAS, respectively. These results are also suitable for the integer-order dynamical model. Finally, simulation results are provided to illustrate the effectiveness of our theoretical results.
机译:由于复杂的外部环境,不能精确地描述或甚至不能通过整数动态模型来精确描述许多多元系统,并且只能通过分数阶动态模型来描述。在本文中,对具有非均匀时间延迟的两种类型的分数级多算系统(FOMASS)进行了共识问题:具有对称时间延迟和具有不对称时间延迟和指导拓扑的多重拓扑和FOMA的FOMA。采用拉普拉斯变换和频率域理论,获得了两个延迟边距,以保证两种类型的FOMA共识。这些结果也适用于整数动态模型。最后,提供了仿真结果以说明我们理论结果的有效性。

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