Existence and Uniform Stability Analysis of Fractional-Order Complex-Valued Neural Networks With Time Delays

Rakkiyappan R.; Cao J.; Velmurugan G.

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Existence and Uniform Stability Analysis of Fractional-Order Complex-Valued Neural Networks With Time Delays

机译：分数阶时滞复值神经网络的存在性和一致稳定性分析

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This paper deals with the problem of existence and uniform stability analysis of fractional-order complex-valued neural networks with constant time delays. Complex-valued recurrent neural networks is an extension of real-valued recurrent neural networks that includes complex-valued states, connection weights, or activation functions. This paper explains sufficient condition for the existence and uniform stability analysis of such networks. Three numerical simulations are delineated to substantiate the effectiveness of the theoretical results.

机译：研究了具有固定时滞的分数阶复数值神经网络的存在性和稳定性分析问题。复数值循环神经网络是实数值循环神经网络的扩展，其中包括复数值状态，连接权重或激活函数。本文为此类网络的存在和统一稳定性分析提供了充分的条件。描绘了三个数值模拟，以证实理论结果的有效性。

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来源
《Neural Networks and Learning Systems, IEEE Transactions on》 |2015年第1期|84-97|共14页
作者
Rakkiyappan R.; Cao J.; Velmurugan G.;
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作者单位

Department of Mathematics, Bharathiar University, Coimbatore, India;

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正文语种 eng
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关键词
Artificial neural networks; Biological neural networks; Delay effects; Mathematics; Recurrent neural networks; Stability analysis; Banach contraction fixed point theorem; complex-valued neural networks; fractional order; time delays; time delays.;

机译：人工神经网络;生物神经网络;延迟效应;数学;递归神经网络;稳定性分析;Banach压缩不动点定理;复值神经网络;分数阶;时间延迟;时间延迟;

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5. Dynamical Analysis of Complex-valued Recurrent Neural Networks with Time-delays. [D] . Hu, Jin. 2013

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Existence and Uniform Stability Analysis of Fractional-Order Complex-Valued Neural Networks With Time Delays

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