Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays
Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays
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DOI：
10.1007/s11071-014-1375-4
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发表时间：
2014-04
影响因子：
5.6
通讯作者：
I. Stamova
中科院分区：
文献类型：
--
作者：
I. Stamova
本文研究了一类具有时变时滞的脉冲Caputo分数阶细胞神经网络。利用分数阶李雅普诺夫方法和Mittag-Leffler函数，给出了网络全局Mittag-Leffler稳定的充分条件，从而得到了网络平衡点全局渐近稳定的充分条件.我们的结果提供了一种全局渐近镇定无脉冲分数阶神经网络时滞模型的脉冲控制律的设计方法。研究了分数阶混沌网络的非脉冲线性控制同步问题。最后给出了具体的例子来说明所得结果的有效性.
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.