Stability analysis of fractional-order complex-valued neural networks with time delays

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• 作者：R. Rakkiyappan^a ; G. Velmurugan^a ; Jinde Cao ; ^b ; ^c ; ^{jdcao@seu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Complex-valued Hopfield neural networks ; Fractional-order ; Time delays ; Stability ; Ring structure ; Hub structure
• 刊名：Chaos, Solitons & Fractals
• 出版年：2015
• 出版时间：September 2015
• 年：2015
• 卷：78
• 期：Complete
• 页码：297-316
• 全文大小：876 K

文摘

In this paper, we consider the problem of stability analysis of fractional-order complex-valued Hopfield neural networks with time delays, which have been extensively investigated. Moreover, the fractional-order complex-valued Hopfield neural networks with hub structure and time delays are studied, and two types of fractional-order complex-valued Hopfield neural networks with different ring structures and time delays are also discussed. Some sufficient conditions are derived by using stability theorem of linear fractional-order systems to ensure the stability of the considered systems with hub structure. In addition, some sufficient conditions for the stability of considered systems with different ring structures are also obtained. Finally, three numerical examples are given to illustrate the effectiveness of our theoretical results.