Global Synchronization of Complex Dynamical Networks Through Digital Communication With Limited Data Rate

Global Synchronization of Complex Dynamical Networks Through Digital Communication With Limited Data Rate
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通过有限数据速率的数字通信实现复杂动态网络的全局同步

DOI:
10.1109/tnnls.2014.2387443
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发表时间:
2015-02
影响因子:
10.4
通讯作者:
Wen Changyun
Wen Changyun
中科院分区:
计算机科学1区
文献类型:
--
作者:
Wang Yan-Wu;Bian Tao;Xiao Jiang-Wen;Wen Changyun

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研究了有限带宽数字通信条件下复杂动态网络的全局同步问题。为了实现数字通信,引入了均匀量化器集合来量化节点的状态,然后由新设计的编码器和解码器进行编码和解码。为了满足带宽约束的要求,使用缩放函数来保证量化器具有有界输入,从而实现有界的实时量化水平。此外,还引入了一种新的向量范数来简化带宽极限的表达式。通过数学归纳法,得到了保证CDN全局同步的充分条件。针对不同的情况,分析了实时量化电平之和的下界。最优化方法是放松对网络拓扑结构的要求,并确定这种下限的最小值,分别为每种情况下。仿真例子也被用来说明所建立的结果。
This paper studies the global synchronization of complex dynamical network (CDN) under digital communication with limited bandwidth. To realize the digital communication, the so-called uniform-quantizer-sets are introduced to quantize the states of nodes, which are then encoded and decoded by newly designed encoders and decoders. To meet the requirement of the bandwidth constraint, a scaling function is utilized to guarantee the quantizers having bounded inputs and thus achieving bounded real-time quantization levels. Moreover, a new type of vector norm is introduced to simplify the expression of the bandwidth limit. Through mathematical induction, a sufficient condition is derived to ensure global synchronization of the CDNs. The lower bound on the sum of the real-time quantization levels is analyzed for different cases. Optimization method is employed to relax the requirements on the network topology and to determine the minimum of such lower bound for each case, respectively. Simulation examples are also presented to illustrate the established results.
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