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| 1 | Sufficient conditions and limitations of equivalent partition in multiagent controllability显示文摘The emergence of the graphical characterization of multiagent controllability has raised several issues concerning how to directly establish controllability from topology structures. Arguably, one of the most serious challenges to this research field is the means through which equivalent partition, which plays an important role in graphical characterization, obtains sufficient controllability conditions;hence, how equivalent partition influences controllability has garnered considerable attention. This article specifically focuses on the sufficient conditions and limitations of equivalent partition in multiagent controllability. We provide two sufficient conditions:(i) the absence of the system matrix’s eigenvectors that make the equation formed by the eigenvalues and eigenvectors hold and(ii) the addition of leaders by reducing the same number of followers. The first condition particularly exhibits a relation between two apparently unrelated parts: Tao’s equation and controllability. We further propose a necessary and sufficient condition for controllability under n-node graphs(n 5) by taking advantage of iso-neighbor nodes, and analyze the resulting difficulties when n is greater than 5. Immediate corollaries of our results are obtained. Finally, we reveal the limitation of equivalent partition in controllability analysis. Several constructive examples demonstrate our results. | Junhao GUO Zhijian JI Yungang LIU | 2022 | Science China(Information Sciences)2022，65，3： | 2 |
| 2 | 新冠肺炎网络舆情的启示:复工复产的文本挖掘与分析显示文摘统筹推进新冠肺炎疫情防控和复工复产,既是一场大战,也是一场大考.以统筹推进复工复产为主题,采集了2020年2月1日至7日网络舆情数据,经筛选得出11个热点话题,采用有向聚类的方法将11个热点话题分为5类,运用词云、关联规则、复杂网络、文本倾向性分析等数据挖掘与可视化技术,着重描绘了话题的热度差异、内容特征、关联关系以及倾向趋势,从而对这7天内民众对话题的关注特征进行刻画,并给出适当建议. | 朱建平 王炫力 | 2020 | 数学建模及其应用2020，9，4： | 0 |
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