Finite-Time Stability for Fractional-Order Bidirectional Associative Memory Neural Networks with Time Delays

This paper is concerned with fractional-order bidirectional associative memory（BAM） neural networks with time delays. Applying Laplace transform, the generalized Gronwall inequality and estimates of Mittag–Leffler functions, some sufficient conditions which ensure the finite-time stability of fracti...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 67; no. 2; pp. 137 - 142
Main Author 徐昌进 李培峦 庞一成
Format Journal Article
LanguageEnglish
Published 01.02.2017
Subjects
Gronwall
不等式估计
充分条件
分数阶
双向联想记忆神经网络
拉氏变换
时滞神经网络
时间稳定性
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ISSN0253-6102
DOI10.1088/0253-6102/67/2/137

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Summary:This paper is concerned with fractional-order bidirectional associative memory（BAM） neural networks with time delays. Applying Laplace transform, the generalized Gronwall inequality and estimates of Mittag–Leffler functions, some sufficient conditions which ensure the finite-time stability of fractional-order bidirectional associative memory neural networks with time delays are obtained. Two examples with their simulations are given to illustrate the theoretical findings. Our results are new and complement previously known results.
Bibliography:This paper is concerned with fractional-order bidirectional associative memory（BAM） neural networks with time delays. Applying Laplace transform, the generalized Gronwall inequality and estimates of Mittag–Leffler functions, some sufficient conditions which ensure the finite-time stability of fractional-order bidirectional associative memory neural networks with time delays are obtained. Two examples with their simulations are given to illustrate the theoretical findings. Our results are new and complement previously known results.
BAM neural networks finite-time stability time delay Gronwall inequality
11-2592/O3
Chang-Jin Xu 1, Pei-Luan Li 2 , Yi-Cheng Pang 3（ 1Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, China; 2School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China; 3School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550004, China）
ISSN:0253-6102
DOI:10.1088/0253-6102/67/2/137