含混合延迟和D算子的sicnn的正概周期性

IF 2.6 3区 数学 Q1 MATHEMATICS, APPLIED Nonlinear Analysis-Modelling and Control Pub Date : 2022-04-27 DOI:10.15388/namc.2022.27.27417
Chuangxia Huang, Bingwen Liu, Hedi Yang, Jinde Cao
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引用次数: 7

摘要

本文研究了一种包含D算子和混合延迟的分流抑制细胞神经网络。首先,我们证明了在适当的外部输入条件下,所述系统的一些正解是全局存在的。其次,利用微分不等式技术和Lyapunov泛函方法,建立了证明正概周期解全局指数稳定性的判据。最后,提供了一个数值案例来验证所提出结论的正确性和可靠性。
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Positive almost periodicity on SICNNs incorporating mixed delays and D operator
This article involves a kind of shunting inhibitory cellular neural networks incorporating D operator and mixed delays. First of all, we demonstrate that, under appropriate external input conditions, some positive solutions of the addressed system exist globally. Secondly, with the help of the differential inequality techniques and exploiting Lyapunov functional approach, some criteria are established to evidence the globally exponential stability on the positive almost periodic solutions. Eventually, a numerical case is provided to test and verify the correctness and reliability of the proposed findings.
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来源期刊
Nonlinear Analysis-Modelling and Control
Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
CiteScore
3.80
自引率
10.00%
发文量
63
审稿时长
9.6 months
期刊介绍: The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.
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