| 基于图论方法研究带多扩散的随机多组模型的拓扑识别 |
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| 引用本文： | 夏丹,张春梅,姚旭攀,陈慧凌.基于图论方法研究带多扩散的随机多组模型的拓扑识别[J].上海师范大学学报(自然科学版),2021,50(3):301-319. |
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| 作者姓名： | 夏丹 张春梅 姚旭攀 陈慧凌 |
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| 作者单位： | 西南交通大学 数学学院, 四川 成都 610031 |
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| 基金项目： | The National Natural Science Foundation of China (11601445); The Fundamental Research Funds for the Central Universities (2682020ZT109) |
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| 摘 要： | 研究了带多扩散的随机多组模型的拓扑识别.基于自适应同步方法，设计了合适的自适应控制器识别带多扩散的随机多组模型的拓扑结构.结合Lyapunov稳定性理论和图论方法，分别得到了不具有时滞和具有时滞的多扩散的随机多组模型的拓扑结构识别准则.最后，分别给出了具有时滞和不具有时滞的耦合洛伦兹系统的拓扑识别，验证了研究结果的有效性.
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| 关 键 词： | 拓扑识别 图论方法 多组模型 同步性 |
| 收稿时间： | 2020/12/9 0:00:00 |
A graph-theoretic approach to topology identification of stochastic multi-group models with multiple dispersal |
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| XIA Dan,ZHANG Chunmei,YAO Xupan,CHEN Huiling.A graph-theoretic approach to topology identification of stochastic multi-group models with multiple dispersal[J].Journal of Shanghai Normal University(Natural Sciences),2021,50(3):301-319. |
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| Authors: | XIA Dan ZHANG Chunmei YAO Xupan CHEN Huiling |
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| Institution: | School of Mathematics, Southwest Jiaotong University, Chengdu 610031, Sichuan, China |
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| Abstract: | In this paper, we investigate topology identification of stochastic multi-group models with multiple dispersal (SMGMMD). The adaptive observer is designed to identify multiple topological structures of SMGMMD based on adaptive synchronization method. By using Lyapunov stability theory and graph-theoretic approach, we provide some criteria to successfully identify the unknown topological structures of SMGMMD with and without time delay. Finally, topology identification of coupled Lorenz systems with and without time delay are given to illustrate the availability of proposed results. |
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| Keywords: | topology identification graph-theoretic approach multi-group models synchronization |
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