| SYNCHRONIZATION STABILITY OF COMPLEX CONNECTED NETWORKS WITH DELAYS |
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| 作者姓名： | Ruan Jiong Cai Hong |
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| 作者单位： | Dept. of Math.，Laboratory of Nonlinear Model and Method，Fudan University，200433 Shanghai |
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| 摘 要： | Recently, much work has been devoted to the study of a large-scale complex system described by a network or a graph with complex topology, whose nodes are the elements of the system and whose edges represent the interactions among them. On the other hand, realistic modelling of many large networks with nonlocal interaction inevitably requires connection delays to be taken into account, since they naturally arise as a consequence of finite information transmission and processing speeds among the units. This paper gives the sufficient conditions guaranteeing the local and global synchronization stability of the complex connected networks by using Lyapunov functional.
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| 关 键 词： | 复合动态网络 时间延迟 同步稳定性 不对称矩阵 Lyapunov函数 |
SYNCHRONIZATION STABILITY OF COMPLEX CONNECTED NETWORKS WITH DELAYS |
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| Ruan Jiong Cai Hong.SYNCHRONIZATION STABILITY OF COMPLEX CONNECTED NETWORKS WITH DELAYS[J].微分方程年刊(英文版),2006,22(1):53-61. |
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| Authors: | Ruan Jiong Cai Hong |
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| Institution: | Dept. of Math., Laboratory of Nonlinear Model and Method, Fudan University, 200433 Shanghai |
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| Abstract: | Recently, much work has been devoted to the study of a large-scale complex system described by a network or a graph with complex topology, whose nodes are the elements of the system and whose edges represent the interactions among them. On the other hand, realistic modelling of many large networks with nonlocal interaction inevitably requires connection delays to be taken into account, since they naturally arise as a consequence of finite information transmission and processing speeds among the units. This paper gives the sufficient conditions guaranteeing the local and global synchronization stability of the complex connected networks by using Lyapunov functional. |
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| Keywords: | complex dynamical network time delay synchronization stability asymmetrical coupling matrix Lyapunov functional |
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