Global Stability of Fractional Order Coupled Systems with Impulses via a Graphic Approach

被引：13
作者：
Zhang, Bei [1 ]
Xia, Yonghui [2 ]
Zhu, Lijuan [2 ]
Liu, Haidong [3 ]
Gu, Longfei [4 ]
机构：
[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362000, Fujian, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[3] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
[4] Linyi Univ, Dept Math, Linyi 276000, Shandong, Peoples R China
来源：
MATHEMATICS | 2019年 / 7卷 / 08期
基金：
中国国家自然科学基金;
关键词：
neural networks; global stability; impulse; NEURAL-NETWORKS; DIFFERENTIAL-EQUATIONS; EXPONENTIAL STABILITY; TIME-DELAY; SYNCHRONIZATION; FINITE; MODELS;
D O I：
10.3390/math7080744
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Based on the graph theory and stability theory of dynamical system, this paper studies the stability of the trivial solution of a coupled fractional-order system. Some sufficient conditions are obtained to guarantee the global stability of the trivial solution. Finally, a comparison between fractional-order system and integer-order system ends the paper.
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页数：10
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