符号网络条件下扩散耦合多智能体系统的可控性分析

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针对符号网络条件下扩散耦合多智能体网络的可控性进行了研究.基于广义几乎等价划分的方法,结合系统系数矩阵的限制条件,运用图理论,给出了此时系统可控子空间维数的上界,并给出了系统可控的一个必要条件,即系统可控时,划分中所有胞腔都是平凡的.给出了一种用来计算最大领导者孤立广义几乎等价划分的算法.此外,还证明了结构平衡条件下,如果从同一个顶点集中选择领导者,则扩散耦合多智能体系统的可控性与对应的全正网络的可控性是等价的,而与系统系数矩阵的选取无关.
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