文章基本信息

标题：Global Mittag-Leffler projective synchronization for fractional-order neural networks: an LMI-based approach
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作者：Huaiqin Wu ; Lifei Wang ; Yu Wang 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：2016
卷号：2016
期号：1
页码：132
DOI：10.1186/s13662-016-0857-8
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper is concerned with the global projective synchronization issue for fractional neural networks in the Mittag-Leffler stability sense. Firstly, a fractional-order differential inequality in the existing literature for the Caputo fractional derivative, with 0 < α < 1 $0< lpha< 1$ , is improved, which plays a central role in the synchronization analysis. Secondly, hybrid control strategies are designed via combing open loop control and adaptive control, and unknown control parameters are determined by the adaptive fractional updated laws to achieve global projective synchronization. In addition, applying the fractional Lyapunov approach and Mittag-Leffler function, the projective synchronization conditions are addressed in terms of linear matrix inequalities (LMIs) to ensure the synchronization. Finally, two examples are given to demonstrate the validity of the proposed method.
关键词：neural networks ; fractional calculus ; Mittag-Leffler stability ; projective synchronization ; adaptive control law