Global exponential stability of periodic solutions for impulsive Cohen-Grossberg neural networks with delays

Huiyan Kang; Xinchu Fu; Zhenlong Sun

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Global exponential stability of periodic solutions for impulsive Cohen-Grossberg neural networks with delays

机译：时滞脉冲Cohen-Grossberg神经网络周期解的全局指数稳定性

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摘要

By constructing appropriate Lyapunov functions and using some inequality techniques and a fixed point theorem, some sufficient conditions are obtained to ensure the existence and global exponential stability of periodic solutions for impulsive Cohen-Grossberg neural networks with delays. The boundedness of the activation functions is not assumed. The criteria given can be easily verified and possess many adjustable parameters, which provide flexibility for the design and analysis of the system. Several previous results are improved and two examples are given to demonstrate the effectiveness of the theoretical results.

机译：通过构造适当的Lyapunov函数并使用一些不等式技术和不动点定理，可以获得一些充分的条件，以确保带时滞的脉冲Cohen-Grossberg神经网络周期解的存在性和全局指数稳定性。不假定激活函数的有界性。给出的标准很容易验证，并具有许多可调整的参数，这为系统的设计和分析提供了灵活性。改进了先前的几个结果，并给出了两个例子来证明理论结果的有效性。

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来源
《Applied Mathematical Modelling》 |2015年第6期|1526-1535|共10页
作者
Huiyan Kang; Xinchu Fu; Zhenlong Sun;
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作者单位

Department of Mathematics, Shanghai University, Shanghai 200444, PR China,School of Mathematics and Physics, Changzhou University, Changzhou 213016, Jiangsu, PR China;

Department of Mathematics, Shanghai University, Shanghai 200444, PR China;

Department of Mathematics, Shanghai University, Shanghai 200444, PR China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Cohen-Grossberg neural network; Impulsive; Periodic solution; Global exponential stability;

机译：Cohen-Grossberg神经网络;浮躁;定期解决方案;全局指数稳定性;

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专利

1. Global Exponential Stability and Existence of Periodic Solution of Impulsive Cohen-Grossberg Neural Networks with Distributed Delays on Time Scales [J] . Yongkun Li, Lili Zhao, Tianwei Zhang Neural processing letters . 2011,第1期

机译：具时标分布时滞的脉冲Cohen-Grossberg神经网络的全局指数稳定性和周期解的存在性
2. Exponential Stability of Periodic Solution for Impulsive Memristor-Based Cohen-Grossberg Neural Networks with Mixed Delays [J] . Feng Jiqiang, Ma Qiang, Qin Sitian International Journal of Pattern Recognition and Artificial Intelligence . 2017,第7期

机译：基于脉冲忆阻器的混合时滞Cohen-Grossberg神经网络周期解的指数稳定性
3. Existence and exponential stability of periodic solution of delayed Cohen-Grossberg neural networks via impulsive control [J] . Qi Jiangtao, Li Chuandong, Huang Tingwen Neural computing & applications . 2015,第6期

机译：脉冲控制的时滞Cohen-Grossberg神经网络周期解的存在性和指数稳定性
4. Existence and Global Exponential Stability of Periodic Solution for Impulsive Cohen-Grossberg Neural Networks with Bounded and Unbounded Delays [C] . YAO Xiaojie, QIN Fajin Proceedings of the 29th Chinese Control Conference . 2010

机译：具有有界和无界时滞的脉冲Cohen-Grossberg神经网络周期解的存在性和全局指数稳定性
5. Exponential Stability of Intrinsically Stable Dynamical Networks and Switched Networks with Time-Varying Time Delays [D] . Reber, David Patrick. 2019

机译：具有时变时间延迟的内在稳定动态网络和交换网络的指数稳定性
6. Global Exponential Stability of Almost Periodic Solution for Neutral-Type Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses [O] . Lijun Xu, Qi Jiang, Guodong Gu 2016

机译：具有分布时滞和脉冲的中立型Cohen-Grossberg分流抑制性细胞神经网络的概周期解的全局指数稳定性
7. Global Exponential Stability of Almost Periodic Solution for Neutral-Type Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses [O] . Lijun Xu, Qi Jiang, Guodong Gu 2016

机译：具有分布延迟和冲动的中性COHEN-GROSSBERG分流抑制抑制细胞神经网络几乎定期解决的全局指数稳定性

Global exponential stability of periodic solutions for impulsive Cohen-Grossberg neural networks with delays

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