|
|
An linear matrix inequality approach to global synchronisation of non-parameter perturbations of multi-delay Hopfield neural network |
Shao Hai-Jian(邵海见), Cai Guo-Liang(蔡国梁)†, and Wang Hao-Xiang(汪浩祥) |
Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang 212013, China |
|
|
Abstract In this study, a successful linear matrix inequality approach is used to analyse a non-parameter perturbation of multi-delay Hopfield neural network by constructing an appropriate Lyapunov-Krasovskii functional. This paper presents the comprehensive discussion of the approach and also extensive applications.
|
Received: 12 March 2010
Revised: 26 May 2010
Accepted manuscript online:
|
PACS:
|
02.10.Yn
|
(Matrix theory)
|
|
07.05.Dz
|
(Control systems)
|
|
Fund: Project supported by the National Natural Science Foundations of China (Grant Nos. 70571030 and 90610031), the Society Science Foundation from Ministry of Education of China (Grant No. 08JA790057) and the Advanced Talents' Foundation and Student's Foundation of Jiangsu University (Grant Nos. 07JDG054 and 07A075). |
Cite this article:
Shao Hai-Jian(邵海见), Cai Guo-Liang(蔡国梁), and Wang Hao-Xiang(汪浩祥) An linear matrix inequality approach to global synchronisation of non-parameter perturbations of multi-delay Hopfield neural network 2010 Chin. Phys. B 19 110512
|
[1] |
Hopfield J J 1982 Proc. Nation. Acad. Sci. USA 79 2554
|
[2] |
Zhang J Y 2003 Appli. Math. Lett. 6 925
|
[3] |
Wang R L, Tang Z and Cao Q P 2002 Neur. Comp. 48 1021
|
[4] |
Dan S 1993 IEEE Trans. Circ. Sys. II 11 745
|
[5] |
Liu D and Lu Z 1997 IEEE Trans. Neur. Netw. 12 1468
|
[6] |
Gao M and Cui B T 2009 Chin. Phys. B 18 76
|
[7] |
Wu R C 2009 Acta Phys. Sin. 58 139 (in Chinese)
|
[8] |
Cai G L and Shao H J 2010 Chin. Phys. B 19 060507
|
[9] |
Qiu F, Cui B T and Ji Y 2009 Chin. Phys. B 18 5203
|
[10] |
Lou X Y and Cui B T 2007 Int. J. Auto. Comp. 3 304
|
[11] |
Tang Y, Zhong H H and Fang J A 2008 Chin. Phys. B 17 4080
|
[12] |
Liao X, Wonh K, Wu Z and Chen G 2001 IEEE Trans. Circ. Sys. 48 1355
|
[13] |
Wang S, Cai L, Kang Q, Wu G and Li Q 2008 Chin. Phys. B 17 2837
|
[14] |
Lou X Y and Cui B T 2008 Chin. Phys. B 17 520
|
[15] |
Alonso H G, Mendoncca T, Rocha P 2009 Neur. Netw. 4 450
|
[16] |
Liu F C and Song J Q 2008 Acta Phys. Sin. 57 4729 (in Chinese)
|
[17] |
Young K D, Utkin V I and "Ozg"uner "U A 1999 IEEE Trans. Cont. Sys. Tech. 3 328
|
[18] |
Huang H and Gang F 2009 Neur. Netw. Lett. 22 869 endfootnotesize
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|