Global stability in Lagrange sense for BAM-type Cohen–Grossberg neural networks with time-varying delays

Jigui Jian; Zhihua Zhao

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Global stability in Lagrange sense for BAM-type Cohen–Grossberg neural networks with time-varying delays

机译：具有时变时滞的BAM型Cohen-Grossberg神经网络在Lagrange意义上的全局稳定性

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In this paper, we investigate the positive invariant sets and global exponential attractive sets for a class of bidirectional associative memory (BAM)-type Cohen–Grossberg neural networks with multiple time-varying delays. By applying inequality techniques, some easily verifiable delay-independent criteria for the ultimate boundedness and global exponential attractive sets of BAM-type Cohen–Grossberg neural networks are obtained by constructing appropriate Lyapunov functions. Finally, one example with numerical simulations is given to illustrate the results obtained in this paper.

机译：在本文中，我们研究了一类具有多个时变时滞的双向联想记忆（BAM）型Cohen-Grossberg神经网络的正不变集和全局指数吸引集。通过应用不等式技术，通过构造适当的Lyapunov函数，可以获得一些易于验证的时延独立准则，用于BAM型Cohen-Grossberg神经网络的最终有界性和全局指数吸引集。最后，给出了一个带有数值模拟的例子来说明本文获得的结果。

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《Systems Science & Control Engineering》 |2015年第1期|共7页
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Jigui Jian; Zhihua Zhao;
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中图分类自动化技术、计算机技术;
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1. Stability in Lagrange sense for Cohen-Grossberg neural networks with time-varying delays and finite distributed delays [J] . Baoxian Wang, Jigui Jian, Minghui Jiang Nonlinear analysis. Hybrid systems: An International Multidisciplinary Journal . 2010,第1期

机译：具有时变时滞和有限分布时滞的Cohen-Grossberg神经网络在Lagrange意义上的稳定性
2. Global Lagrange Stability for Takagi-Sugeno Fuzzy Cohen-Grossberg BAM Neural Networks with Time-varying Delays [J] . Wang Jingfeng, Tian Lixin, Zhen Zaili International Journal of Control, Automation, and Systems . 2018,第4期

机译：Takagi-Sugeno模糊Cohen-Grossberg BAM神经网络的全局拉格朗日稳定性延迟
3. Global Lagrange stability for neutral-type Cohen-Grossberg BAM neural networks with mixed time-varying delays [J] . Jigui Jian, Baoxian Wang Mathematics and computers in simulation . 2015,第octa期

机译：具有混合时变时滞的中立型Cohen-Grossberg BAM神经网络的全局Lagrange稳定性
4. Global Exponential Stability of Cohen-Grossberg Neural Networks with Time-Varying Delays and Continuously Distributed Delays [C] . Yi Shen, Minghui Jiang, Xiaoxin Liao International Symposium on Neural Networks(ISNN 2005) pt.1; 20050530-0601; Chongqing(CN) . 2005

机译：具有时变时滞和连续分布时滞的Cohen-Grossberg神经网络的全局指数稳定性
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 stability of a Cohen-Grossberg neural network with both time-varying and continuous distributed delays [O] . Oliveira José J. 2011

机译：具有时变和连续分布时滞的Cohen-Grossberg神经网络的全局稳定性

Global stability in Lagrange sense for BAM-type Cohen–Grossberg neural networks with time-varying delays

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