Global Mittag-Leffler Synchronization of Fractional-Order Neural Networks Via Impulsive Control

被引：0
|
作者：
Xujun Yang
Chuandong Li
Tingwen Huang
Qiankun Song
Junjian Huang
机构：
[1] Southwest University,Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering
[2] Texas A&M University at Qatar,College of Mathematics and Statistics
[3] Chongqing Jiaotong University,Department of Computer Science
[4] Chongqing University of Education,undefined
来源：
Neural Processing Letters | 2018年 / 48卷
关键词：
Fractional-order neural networks; Impulse; Mittag-Leffler synchronization; Lyapunov direct method; -matrix;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper aims at analyzing the impulsive synchronization of fractional-order neural works. Firstly, in view of control theory, by constructing a suitable impulsive response system with the designed controller, the synchronization error system between the drive system and the corresponding response system is given. Afterwards, based on the theory of impulsive differential equation, the theory of fractional differential equation, Lyapunov direct method, and inequality techniques, some effective sufficient criteria are established to guarantee the global Mittag-Leffler stability for the synchronization error system. Finally, several simulation examples are designed to demonstrate the effectiveness and feasibility of the obtained results.
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页码：459 / 479
页数：20
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