Controllability of Fractional-Order Directed Complex Networks, with Self Loop and Double Edge Structure

被引：3

作者：

Zhang, Hao ^{[1
]}

Chen, Diyi ^{[1
]}

Xu, Bei-Bei ^{[1
]}

Zhou, Rui ^{[1
]}

机构：

[1] Northwest A&F Univ, Sch Elect Engn, Yangling 712100, Shaanxi, Peoples R China

来源：

JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS | 2015年 / 24卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Controllability; complex networks; self loop; double edge structure; OBSERVABILITY; FILTERS; SYNCHRONIZATION; COEFFICIENTS; SYSTEM; MODEL;

D O I：

10.1142/S0218126615500875

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

For that the conclusion of maximum matching is an important basic theory for controllability of complex networks, we first study the validity of maximum matching for fractional-order directed complex networks. We also develop a new analytical tool to study the controllability of an arbitrary fractional-order directed complex directed network with self loop by identifying the set of driver nodes with time-dependent control that can guide the system's entire dynamics. Through analyzing a mass of typical examples, we propose a new theory named "variant maximum matching" which is superior to the old one. Finally, we present some typical examples to prove the correctness of our conclusions.

引用

页数：13

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