Global asymptotic stability of a class of neutral neural networks with time delays

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (6): 30-32.

• 研究、探讨 • Previous Articles Next Articles

Global asymptotic stability of a class of neutral neural networks with time delays

LUO Ricai1, XU Honglei2，3

1.Department of Mathematics, Hechi University, Yizhou, Guangxi 546300, China
2.School of Information Science and Engineering, Central South University, Changsha 410083, China
3.Department of Mathematics and Statistics, Curtin University, Perth, WA, Australia

Received:1900-01-01 Revised:1900-01-01 Online:2012-02-21 Published:2012-02-21

一类中立型时滞神经网络的全局渐近稳定性

罗日才1，许弘雷2，3

1.河池学院计算机与信息科学系，广西宜州 546300
2.中南大学信息科学与工程学院，长沙 410083
3.澳大利亚科廷大学数学与统计系澳大利亚

Abstract

Abstract: This paper discusses the stability problem of a class of neutral neural networks with time delays. By constructing Lyapunov-Krasovskii-type functional, and using Schur complement matrix properties, it studies the global asymptotic stability of these kinds of delayed neutral neural networks and obtains sufficient conditions of the asymptotic stability based on matrix eigenvalues. Some sufficient conditions, expressed in the form of matrix eigenvalues, of global asymptotic stability for Hopfield neural networks with time delays are obtained as well. The numerical simulations test the validity of the results.

Key words: delayed neural networks, neutral, Schur complement, global asymptotic stability

摘要： 讨论了一类带有时滞的中立型神经网络的稳定性问题。通过构造Lyapunov-Krasovskii泛函，利用矩阵Schur补性质研究了此类中立型时滞神经网络模型的全局渐近稳定性，得出基于矩阵特征值的稳定性的充分判据，并给出基于矩阵特征值的时滞Hopfield神经网络全局渐近稳定性的充分条件；数值仿真检验了结果的有效性。

关键词: 时滞神经网络, 中立型, Schur补, 全局渐近稳定性

LUO Ricai1, XU Honglei2，3. Global asymptotic stability of a class of neutral neural networks with time delays[J]. Computer Engineering and Applications, 2012, 48(6): 30-32.

罗日才1，许弘雷2，3. 一类中立型时滞神经网络的全局渐近稳定性[J]. 计算机工程与应用, 2012, 48(6): 30-32.

[1]	ZHOU Bifeng, LUO Yiping. Aperiodically Intermittent Neutralization Control of Distributed Parameter Systems with Delay [J]. Computer Engineering and Applications, 2020, 56(8): 220-225.
[2]	FENG Xiaozhou, ZHOU Yao. Long Time Behavior of Solutions for Predator-Prey System with Saturated Competition and Leslie-Gower Functional Response [J]. Computer Engineering and Applications, 2019, 55(2): 50-53.
[3]	YANG Man, WANG Chuanxu, XU Lang. Pricing decision and carbon reduction decision of dual channel supply chain considering free-rider behavior [J]. Computer Engineering and Applications, 2018, 54(14): 229-235.
[4]	ZHANG Fen1，2, ZHANG Yanbang1. New stability criteria for neural networks with probabilistic time-varying delay [J]. Computer Engineering and Applications, 2016, 52(16): 12-16.
[5]	ZHENG Xiuliang1, LIU Jiebing2. Global asymptotic stability of [n]-species Gilpin-Ayala competition systems [J]. Computer Engineering and Applications, 2016, 52(11): 22-25.
[6]	SHANG Suiming, CHEN Siyang. Flip bifurcation behavior of neutral type feedback control difference model and simulation [J]. Computer Engineering and Applications, 2015, 51(14): 28-34.
[7]	LIU Hui1，ZHANG Yunsheng2，ZHANG Yinhui3，HE Zifen3. State recognition of BOF based on flame image features and GRNN [J]. Computer Engineering and Applications, 2011, 47(26): 7-10.
[8]	ZHANG Hui-xia¹，GAO Xing-bao². Dynamic analysis a class of neural networks with time-varying delays [J]. Computer Engineering and Applications, 2010, 46(23): 50-55.
[9]	ZHAO Li-juan，MA Yong-zhi. Study on key technologies in modeling and simulation of rigid-flexible coupled multi-body system [J]. Computer Engineering and Applications, 2010, 46(2): 243-248.
[10]	AISHAN Wumaier，TUERGEN Yibulayin，ZAOKERE Kadeer. Noisy channel based Uyghur neutralized vowel identification model [J]. Computer Engineering and Applications, 2010, 46(15): 118-120.
[11]	DING Bo,SUN Li-quan. Neutral semantic feature data exchange upon heterogeneous CAD systems [J]. Computer Engineering and Applications, 2009, 45(14): 70-72.
[12]	TAN Ying-fang,ZHOU Dong-ming,ZHAO Dong-feng,NIE Ren-can. Color image segmentation and edge detection using Unit-Linking PCNN and image entropy [J]. Computer Engineering and Applications, 2009, 45(12): 174-177.
[13]	TAI Zhi-xin,WANG Xing-cheng. Lie algebraic criteria for stability of linear neutral systems with multiple delays [J]. Computer Engineering and Applications, 2008, 44(21): 30-32.
[14]	BAI Xue-fei,LI Ru. Face recognition method based on 2DPCA and RBF neutral network [J]. Computer Engineering and Applications, 2007, 43(34): 200-203.
[15]	. Robust stability for uncertain neutral systems with time-varying delays [J]. Computer Engineering and Applications, 2007, 43(10期): 63-66.

Global asymptotic stability of a class of neutral neural networks with time delays

一类中立型时滞神经网络的全局渐近稳定性

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics