Global exponential stability of cellular neural networks with time delays

Global exponential stability of cellular neural networks with time delays

下载PDF

导出

摘要 By using the properties of nonnegative matrices and techniques of differential inequalities,some sufficient conditions for the global exponential stability of cellular neural networks with time delays were obtained.The criteria do not require such conditions as boundedness and differentiability of activation functions.The conditions of the theorem were verified. By using the properties of nonnegative matrices and techniques of differential inequalities, some sufficient conditions for the global exponential stability of cellular neural networks with time delays were obtained. The criteria do not require such conditions as boundedness and differentiability of activation functions. The conditions of the theorem were verified.

作者刘坚裴冀南

机构地区 Department of Mathematics

出处《Journal of Chongqing University》 CAS 2008年第2期137-140,共4页 重庆大学学报（英文版）

基金 the Foundation of Technology Project of Chongqing Education Commission (No. 041503)

关键词 cellular neural network time delay global exponential stability spectral radius 人工智能系统稳定性细胞神经网络时延

分类号 TP183 [自动化与计算机技术—控制理论与控制工程] O175 [自动化与计算机技术—控制科学与工程]

引文网络
相关文献

参考文献3

1徐道义.STABILITY OF LINEAR SYSTEMS WITH TIME-VARYING DELAYS[J].Chinese Science Bulletin,1988,33(8):626-631. 被引量：1
2武冬.线性常微分方程系统的稳定性[J].数学年刊（A辑）,2003,24(1):91-100. 被引量：7
3裴冀南.具有时滞的线性系统的渐近稳定[J].四川师范大学学报（自然科学版）,2001,24(2):151-153. 被引量：6

二级参考文献5

1郑祖庥.非R．N．A．型泛函微分方程的近期进展[J].安徽大学学报（自然科学版）,1994,18(1):11-30. 被引量：22
2[1]Burton, T. A., Stability and periodic solutions of ordinary and functional differential equations [M], Academic Press, Orlando, 1985. 被引量：1
3[2]Coddington, E. A. & Levinson, N., Theory of ordinary differential equations [M], McGrawHill, New York, 1955. 被引量：1
4[3]Coppel, W. A., Stability and asymptotic behavior of differential equations [M], Heath Mathematical Monograghs, D.C. Heath and Company, Boston, 1965. 被引量：1
5[4]Lozinski, S. M., Error estimates for numerical integration of ordinary differential equations [J], Izv. Vyssh. Uchebn. Zaved. Mat., 5(1958), 52-90. 被引量：1

共引文献11

1向红军.非线性常微分系统的稳定性[J].高校应用数学学报（A辑）,2005,20(3):284-290. 被引量：1
2陈誌敏.Van der Pol非线性系统的扰动与稳定性分析[J].黄冈师范学院学报,2006,26(6):26-31.
3魏菊梅,段振辉,马睿.含不确定项中立系统鲁棒稳定[J].郑州大学学报（理学版）,2008,40(4):20-23.
4毛北行,慕小武,卜春霞.不确定时滞脉冲切换系统的保性能控制[J].郑州大学学报（理学版）,2010,42(3):7-10. 被引量：4
5毛北行,喻军,卜春霞.一类时滞中立型切换系统的反馈镇定[J].郑州大学学报（理学版）,2011,43(1):1-3. 被引量：2
6裴冀南.一类时滞微分系统的渐近稳定性[J].重庆教育学院学报,2001,14(3):34-36.
7梁宇,包俊东.一类确定性关联时滞大系统组的同时镇定[J].高师理科学刊,2016,36(2):13-15.
8于雪梅,王晓梅,钟守铭.带有两个加性时变时滞系统的稳定性分析[J].四川师范大学学报（自然科学版）,2017,40(4):427-434. 被引量：1
9李卓,李霞.时间周期线性扰动系统零解的稳定性分析[J].苏州科技大学学报（自然科学版）,2019,36(2):20-24. 被引量：1
10李冬梅,付玉立,汪琪.具有垂直感染巨细胞病毒动力学模型[J].哈尔滨理工大学学报,2021,26(1):157-163.

1Liqun Zhou Yanyan Zhang.Global exponential stability of cellular neural networks with multi-proportional delays[J].International Journal of Biomathematics,2015,8(6):1-17. 被引量：10
2Jing Liu Pei-Yong Zhu.Global Exponential Stability of Almost Periodic Solution of Cellular Neural Networks with Time-Varying Delays[J].Journal of Electronic Science and Technology of China,2007,5(3):238-242. 被引量：2
3Xia Fei Li Xuemei (Dept. of Math., Hunan Normal University, Changsha 410081).EXPONENTIAL STABILITY OF DISCRETE-TIME CELLULAR NEURAL NETWORKS WITH DELAYS[J].Annals of Differential Equations,2006,22(3):388-393.
4Wang Xingang1,4, Zhang Dongmei2 & Liu Jun3 1. Coll. of Information Engineering, Zhejiang Univ. of Technology, Hangzhou 310032, P. R. China,2. Coll. of Science, Zhejiang Univ. of Technology, Hangzhou 310032, P. R. China,3. Coll. of Science, Beihua Univ., Jilin 132000, P. R. China,4. School of Computer Engineering and Science, Shanghai Univ., Shanghai 200072, P. R. China.Stability analysis of cellular neural networks with time-varying delay[J].Journal of Systems Engineering and Electronics,2009,20(2):266-273.
5刘德友,张建华,关新平,肖晓丹.Generalized LMI-based approach to global asymptotic stability of cellular neural networks with delay[J].Applied Mathematics and Mechanics(English Edition),2008,29(6):811-816. 被引量：1
6WANG Zhanshan,ZHANG Huaguang.LMI-Based Criteria for Globally Asymptotic Stability of Cellular Neural Networks with Multiple Delays[J].Chinese Journal of Electronics,2007,16(1):111-114. 被引量：5
7廖晓昕.Mathematical theory of cellular neural networks (Ⅱ)[J].Science China Mathematics,1995,38(5):542-551.
8ZHU Wei,XU Dao-yi.Global Exponential Stability of Fuzzy Cellular Neural Networks with Impulses and Infinite Delays[J].Journal of Mathematical Research and Exposition,2008,28(1):1-10.
9Jin-Liang Shao Ting-Zhu Huang.Global Exponential Stability Analysis of a Class of Dynamical Neural Networks[J].Journal of Electronic Science and Technology of China,2009,7(2):171-174.
10Mahmoud M.El-Borai,Wagdy G.El-Sayed,Faez N. Ghaffoori.On The Cauchy Problem For Some Parabolic Fractional Partial Differential Equations With Time Delays[J].Journal of Mathematics and System Science,2016,6(5):194-199.

Journal of Chongqing University

2008年第2期

浏览历史

内容加载中请稍等...

Global exponential stability of cellular neural networks with time delays

参考文献3

二级参考文献5

共引文献11

相关作者

相关机构

相关主题

浏览历史