Stabilization of fractional-order coupled systems with time delay on networks

被引：9

作者：

Chen, Liping ^{[1
]}

Wu, Ranchao ^{[2
]}

Chu, Zhaobi ^{[1
]}

He, Yigang ^{[1
]}

机构：

[1] Hefei Univ Technol, Sch Elect Engn & Automat, Hefei 230009, Peoples R China

[2] Anhui Univ, Sch Math, Hefei 230039, Peoples R China

来源：

NONLINEAR DYNAMICS | 2017年 / 88卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Fractional-order; Coupled system; State feedback; Network Delay; COMPLEX NETWORKS; NEURAL-NETWORKS; PARAMETER-ESTIMATION; STABILITY ANALYSIS; NONLINEAR DYNAMICS; NEWTON ITERATION; SYNCHRONIZATION; IDENTIFICATION; BIFURCATION; ALGORITHM;

D O I：

10.1007/s11071-016-3257-4

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Stabilization problem for a class of fractional-order nonlinear coupled systems on networks is addressed in the paper. By using Kirchhoff's matrix tree theory and comparison principle, a state feedback control law is presented to stabilize such systems. The controller design approach could be adapted to many classes of fractional-order delayed coupled systems in ecology, biology and engineering. An example is presented to illustrate the effectiveness of our proposed method.

引用

页码：521 / 528

页数：8

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