文章基本信息

标题：Adaptive control of Mittag-Leffler stabilization and synchronization for delayed fractional-order BAM neural networks
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作者：Weike Cheng ; Ailong Wu ; Jin-E Zhang 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-20
DOI：10.1186/s13662-019-2279-x
出版社：Hindawi Publishing Corporation
摘要：This paper is committed to studying adaptive control design of Mittag-Leffler stabilization and synchronization for delayed fractional-order bidirectional associative memory (BAM) neural networks. Considering better dynamic property and steady state performance of the system, we adopt adaptive control approaches to stabilize and synchronize two types of delayed fractional-order BAM neural network. It is a remarkable fact, based on adaptive control scheme, the method of auxiliary functions, Mittag-Leffler stabilization and synchronization theories with respect to fractional-order systems, the adaptive controllers are very well designed in a controlled system and two coupled systems, separately. Two examples are performed to illustrate the advantage of the presented theoretic analysis and results.
关键词：Fractional-order systems;BAM neural networks;Time delays;Mittag-Leffler stabilization and synchronization;Adaptive control design