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Consensus of Multi-Integral Fractional-Order Multiagent Systems with Nonuniform Time-Delays

机译:具有非一致时滞的多积分分数阶多主体系统的共识

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Consensus of fractional-order multiagent systems (FOMASs) with single integral has been wildly studied. However, the dynamics with multiple integral (especially double integral to sextuple integral) also exist in FOMASs, and they are rarely studied at present. In this paper, consensus problems for multi-integral fractional-order multiagent systems (MIFOMASs) with nonuniform time-delays are addressed. The consensus conditions for MIFOMASs are obtained by a novel frequency-domain method which properly eliminates consensus problems of the systems associated with nonuniform time-delays. Besides, the method revealed in this paper is applicable to classical high-order multiagent systems which is a special case of MIFOMASs. Finally, several numerical simulations with different parameters are performed to validate the correctness of the results.
机译:具有单个积分的分数阶多主体系统(FOMAS)的共识已得到广泛研究。但是,在FOMAS中也存在具有多个积分(尤其是六元积分的双积分)的动力学,目前很少对其进行研究。在本文中,解决了具有非均匀时滞的多积分分数阶多主体系统(MIFOMAS)的共识问题。 MIFOMAS的共识条件是通过一种新颖的频域方法获得的,该方法可以适当地消除与非均匀时延相关的系统的共识问题。此外,本文揭示的方法适用于MIFOMAS的特殊情况的经典高阶多主体系统。最后,进行了几个具有不同参数的数值模拟,以验证结果的正确性。

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