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Robust Consensus of Fractional-Order Singular Uncertain Multi-Agent System Under Undirected Graph

机译:分数级单奇异不确定多智能体系的强劲共识

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This paper focuses on consensus analysis of fractional-order singular multi-agent systems(FOSMASs) with uncertainties. The definition of consensus or robust consensus of FOSMASs is proposed and the communication network topology is assumed to be an undirected graph. Through a coordinate transformation, the consensus of FOSMASs is converted into stability of fractional-order singular(FOS) linear systems. The consensus conditions are derived by some useful lemmas. Furthermore, the consensus conditions are expressed by linear matrix inequalities(LMIs) via SVD technique. Some simulation examples are given to show how to solve LMIs to get control gains. The simulation results display that the states of FOSMAS can achieve consensus by using the solved control gains.
机译:本文重点介绍了对不确定因素的分数统一多智能体系(FOSMASS)的共识分析。提出了福斯卡斯共识或强大共识的定义,并假设通信网络拓扑是一个无向图的图形。通过坐标转换,FOSMASS的共识被转换成分数单数(FOS)线性系统的稳定性。共识条件是由一些有用的lemmas得出的。此外,通过SVD技术通过线性矩阵不等式(LMI)表示共有条件。给出了一些仿真示例,以说明如何解决LMI来获得控制增益。仿真结果显示福斯马士州的州可以通过使用解决的控制增益来实现共识。

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