Exponential synchronization of complex delayed dynamical networks with general topology
Exponential synchronization of complex delayed dynamical networks with general topology
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DOI：
10.1109/cdc.2007.4434129
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发表时间：
2007-12
期刊：
影响因子：
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通讯作者：
Tao Liu;G. Dimirovski;Jun Zhao
中科院分区：
文献类型：
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作者：
Tao Liu;G. Dimirovski;Jun Zhao
本文研究了具有一般拓扑结构的复杂时滞动力网络的全局指数同步问题。所考虑的网络模型可以表示有向和无向加权网络。利用李雅普诺夫稳定性理论和耦合矩阵的适当性质，设计了时滞相关的线性控制器。结果表明，受控网络是全局指数同步，具有一定的收敛速度。两个典型的动力学网络与耦合延迟的这类，一个具有有向和无向耦合拓扑结构，在每个节点都有一个Lorenz系统的例子，已被用来演示和验证所提出的新的控制设计。
The global exponential synchronization of complex delayed dynamical networks possessing general topology is investigated in this contribution. The network model considered can represent both the directed and undirected weighted networks. Novel delay-dependent linear controllers are designed via Lyapunov stability theory and appropriate property of the coupling matrix. It is shown that the controlled network is globally exponentially synchronized with a given convergence rate. Two examples of typical dynamical networks with coupling delays of this class, one possesses directed and the other with undirected coupling topology, both having a Lorenz system at each node, have been used to demonstrate and verify the novel control design proposed.