Mittag-Leffler stability and generalized Mittag-Leffler stability of fractional-order gene regulatory networks

被引:101
作者
Ren, Fengli [1 ]
Cao, Feng [1 ]
Cao, Jinde [2 ,3 ]
机构
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[3] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
基金
中国国家自然科学基金;
关键词
Fractional-order; Mittag-Leffler stability; Generalized Mittag-Leffler stability; Gene regulatory networks; NEURAL-NETWORKS; ROBUST STABILITY; SYNCHRONIZATION; SYSTEM;
D O I
10.1016/j.neucom.2015.02.049
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Gene regulatory networks have attracted much attention, and the networks with integer-order have been well studied. Fractional-order gene regulatory networks have been shown that it is more suitable to model gene regulation mechanism, but has rarely been researched. In this paper, a class of fractional-order gene regulatory networks is studied. Some criteria on the Mittag-Leffler stability and generalized Mittag-Leffler stability are established by using the fractional Lyapunov method for these networks. The existence of the equilibrium point is also considered. One illustrative example is provided to show the effectives of the obtained results. (C) 2015 Published by Elsevier B.V.
引用
收藏
页码:185 / 190
页数:6
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