Synchronous stability of the fractional-order discrete-time dynamical network system model with impulsive couplings

被引:11
作者
Li, Hui [1 ]
Kao, Yonggui [2 ]
机构
[1] Harbin Inst Technol, Weihai, Peoples R China
[2] Harbin Inst Technol, Dept Math, Weihai, Peoples R China
基金
中国国家自然科学基金;
关键词
Fractional-order; Impulsive couplings; delay; Lyapunov function; Discrete-time dynamical system; COMPLEX NETWORKS; NEURAL-NETWORKS; PRACTICAL STABILITY; SYNCHRONIZATION; DELAY; REGIONS;
D O I
10.1016/j.neucom.2019.06.095
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, the synchronization of a class of fractional-order discrete-time dynamical networks is concerned. The new model of fractional-order discrete-time dynamical network system with impulsive couplings among nodes is constructed. Based on the multiple Lyapunov function method, the global synchronous stability and the local synchronous stability of the system are studied and several synchronous criteria are obtained. In the end, an example with numerical simulations is presented to verify the effectiveness of our obtained findings. (C) 2019 Published by Elsevier B.V.
引用
收藏
页码:205 / 211
页数:7
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