Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays

被引：1
作者：
Ivanka Stamova
机构：
[1] The University of Texas at San Antonio,Department of Mathematics
来源：
Nonlinear Dynamics | 2014年 / 77卷
关键词：
Global Mittag-Leffler stability; Synchronization; Neural networks; Fractional-order derivatives; Time-varying delays; Impulsive control; Lyapunov method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we consider a class of impulsive Caputo fractional-order cellular neural networks with time-varying delays. Applying the fractional Lyapunov method and Mittag-Leffler functions, we give sufficient conditions for global Mittag-Leffler stability which implies global asymptotic stability of the network equilibrium. Our results provide a design method of impulsive control law which globally asymptotically stabilizes the impulse free fractional-order neural network time-delay model. The synchronization of fractional chaotic networks via non-impulsive linear controller is also considered. Illustrative examples are given to demonstrate the effectiveness of the obtained results.
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页码：1251 / 1260
页数：9
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