分数阶 Cohen-Grossberg神经网络的 Mittag-Leffler稳定性

Mittag-Leffler Stability of Fractional Order Cohen-Grossberg Neural Networks

摘要:

在整数阶 Cohen-Grossberg神经网络与分数阶理论及分数阶神经网络的基础上,提出了分数阶 Cohen-Grossberg神经网络。为了研究该类型神经网络,引入 Mittag-Leffler函数并利用 Mittag-Leffler函数及分数阶导数的相关性质,进而通过构造 Lyapunov函数的方法,研究了分数阶 Cohen-Grossberg神经网络的 Mittag-Leffler稳定性,并最终给出了相应的充分性条件。最后,通过实例仿真验证了结论的正确性。

Abstract:

On the basis of the integer order Cohen-Grossberg neural networks and fractional order Hopfield neural net.works, the fractional order Cohen-Grossberg neural networks were given. In order to research this type neural networks,Mittag-Leffler function was brought, and making use of the property of the Mittag-Leffler function and fractional order de.rivative, the Mittag-Leffler stability of fractional order Cohen-Grossberg neural networks was investigated by constructingLyapunov function, and a sufficient condition was gotten. At last, the correctness of the conclusion was verified by an emu.lating example.