Synchronization of fractional chaotic complex networks with distributed delays

被引：15

作者：

Hu, Jian-Bing ^{[1
]}

Lu, Guo-Ping ^{[1
]}

Zhao, Ling-Dong ^{[1
]}

机构：

[1] Nantong Univ, Sch Elect & Informat, Nantong 226019, Peoples R China

来源：

NONLINEAR DYNAMICS | 2016年 / 83卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Fractional complex networks; Distributed delays; Lyapunov-Krasovskii theorem; Synchronization; GLOBAL SYNCHRONIZATION; NEURAL-NETWORKS; SYSTEMS;

D O I：

10.1007/s11071-015-2390-9

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, we extend Lyapunov-Krasovskii stability theorem to fractional system with distributed delays. We take the integer derivatives instead of fractional derivatives to cope with the difficulty of taking fractional derivatives of the positive quadratic function V. Synchronizing fractional chaotic complex networks with distributed delays is realized based on the proposed theorem. Numerical simulations are finally given to demonstrate the effectiveness of the theoretical results.

引用

页码：1101 / 1108

页数：8

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