具有间歇耦合的复杂动态网络量化同步分析

讨论了基于量化控制信号的间歇耦合复杂动态网络的同步动力学,根据脉冲间隔周期和量化器的特征,并利用稳定性理论和 Razumikhin 定理,分别给出了含时滞和不含时滞下的复杂动态网络同步化准则.网络节点间在一系列分段周期内有耦合,耦合过程中控制作用通过“对数量化器”对同步误差的反馈控制瞬态信号进行量化.所得理论结果进一步应用于由 Chua 混沌系统为动力节点所构成的复杂动态网络,数值模拟表明了所获理论结果的有效性.

Quantized synchronization of complex dynamical networks with intermittent couplings

This paper discusses the problem on the quantized synchronization of complex dynamical networks with
intermittent couplings. Based on the characteristics of the impulsive period and quantizer, the synchronization criteria for
complex dynamical networks with delay and without delay are presented respectively, in the framework of the stability
theory and Razumikhin theorem. The coupling interactions among nodes exist in a series of piecewise periods. During the
coupling process, the instantaneous signals of synchronized feedback errors are imposed to be quantized through logarithmic
quantizer. Finally, the proposed results are further applied to complex dynamical networks consisting of Chua’s system as
network nodes, and numerical simulations illustrate the effectiveness of the results.