Stability analysis of fractional-order complex-valued neural networks with both leakage and discrete delays

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• 作者：Lei Zhang ; ^a ; ^{qiankunsong@163.com} ; ^{qiankunsong@gmail.com} ; Qiankun Song^a ; Zhenjiang Zhao^b
• 关键词：Fractional-order complex-valued neural networks ; Uniform stability ; Leakage delay ; Discrete delay
• 刊名：Applied Mathematics and Computation
• 出版年：2017
• 出版时间：1 April 2017
• 年：2017
• 卷：298
• 期：Complete
• 页码：296-309
• 全文大小：650 K
• 卷排序：298

文摘

In this paper, the problem of uniform stability for fractional-order complex-valued neural networks with both leakage and discrete delays is considered. Base on the contracting mapping principle, a sufficient condition is proposed for the existence and uniqueness of the equilibrium point of the addressed neural networks. By employing analysis technique, some delay-dependent criteria are established for checking the global uniform stability of the fractional-order complex-valued neural networks. Two numerical examples are presented to demonstrate the validity and feasibility of the proposed results.