Pinning Complex Delayed Dynamical Networks by a Single Impulsive Controller
Pinning Complex Delayed Dynamical Networks by a Single Impulsive Controller
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DOI：
10.1109/tcsi.2011.2161363
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发表时间：
2011-08
期刊：
影响因子：
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通讯作者：
Jin Zhou;Quanjun Wu;L. Xiang
中科院分区：
文献类型：
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作者：
Jin Zhou;Quanjun Wu;L. Xiang
在本文中，我们提出了一种新的方法来分析在一个复杂的时滞动态网络的脉冲控制的同步稳定性。研究了无向复杂时滞动态网络在节点间具有相同耦合时滞的情况下，单脉冲控制器的牵制同步稳定性的充分条件.我们还表明，一个单一的脉冲控制器总是可以钉一个给定的复杂的时滞动力网络的齐次解，只要耦合强度和耦合延迟是适当的选择。随后，结果说明了一个典型的无标度（SF）网络组成的代表性的振荡器和小世界（SW）神经元网络。最后，通过对平衡点、周期轨道和混沌轨道三种齐次解的数值仿真，验证了所提控制方法的有效性.
In this paper, we propose a novel approach for analyzing synchronization stability in a complex delayed dynamical network via impulsive control. We present the sufficiency conditions for pinning synchronization stability of single impulsive controller for an undirected complex delayed dynamical network in the presence of identical coupling delays between nodes. We also show that a single impulsive controller can always pin a given complex delayed dynamical network to a homogenous solution, provided that both the coupling strength and coupling delay are properly selected. Subsequently, the results are illustrated by a typical scale-free (SF) network composing of the representative oscillators and a small-world (SW) neuronal network. Numerical simulations with three kinds of the homogenous solutions, including an equilibrium point, a periodic orbit, and a chaotic orbit, are finally given to demonstrate the effectiveness of the proposed control methodology.