Finite-time stability analysis of fractional-order complex-valued memristor-based neural networks with time delays

被引：0
作者：
R. Rakkiyappan
G. Velmurugan
Jinde Cao
机构：
[1] Bharathiar University,Department of Mathematics
[2] Southeast University,Department of Mathematics, Research Center for Complex Systems and Network Sciences
[3] King Abdulaziz University,Department of Mathematics, Faculty of Science
来源：
Nonlinear Dynamics | 2014年 / 78卷
关键词：
Finite-time stability; Fractional-order; Complex-valued neural networks; Memristor; Time delays;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the problem of finite-time stability of fractional-order complex-valued memristor-based neural networks (NNs) with time delays is extensively investigated. We first initiate the fractional-order complex-valued memristor-based NNs with the Caputo fractional derivatives. Using the theory of fractional-order differential equations with discontinuous right-hand sides, Laplace transforms, Mittag-Leffler functions and generalized Gronwall inequality, some new sufficient conditions are derived to guarantee the finite-time stability of the considered fractional-order complex-valued memristor-based NNs. In addition, some sufficient conditions are also obtained for the asymptotical stability of fractional-order complex-valued memristor-based NNs. Finally, a numerical example is presented to demonstrate the effectiveness of our theoretical results.
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页码：2823 / 2836
页数：13
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