同步(交流)
控制理论(社会学)
Lyapunov稳定性
自适应控制
数学
拓扑(电路)
图论
控制器(灌溉)
白噪声
理论(学习稳定性)
计算机科学
控制(管理)
统计
生物
组合数学
机器学习
人工智能
农学
作者
Xupan Yao,Dan Xia,Chunmei Zhang
摘要
This paper aims to identify the topological structures of multi‐weighted complex networks (MWCN) with and without time delay based on adaptive synchronization. First, by using the concept of drive‐response synchronization, one takes the MWCN as a drive system and introduces the adaptive controller and white noise in the response system to get stochastic MWCN. Then, drive system and response system achieve synchronization by combining graph theory, Lyapunov stability theory, and adaptive control technique. At the same time, the uncertain multiple topological structures of drive system can be identified by response system based on adaptive synchronization. Furthermore, topological structures of MWCN with time delay are also successfully identified. Finally, numerical simulations for the identification of coupled chaotic systems are provided to verify the effectiveness of theoretical results.
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