|
|
Exponential synchronization of coupled memristive neural networks via pinning control |
Wang Guan (王冠), Shen Yi (沈轶), Yin Quan (尹泉) |
Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;Key Laboratory of Ministry of Education for Image Processing and Intelligent Control, Wuhan 430074, China |
|
|
Abstract This paper is concerned with the exponential synchronization problem of coupled memristive neural networks. In contrast to general neural networks, memristive neural networks exhibit state-dependent switching behaviors due to the physical properties of memristors. Under a mild topology condition, it is proved that a small fraction of controlled subsystems can efficiently synchronize the coupled systems. The pinned subsystems are identified via a search algorithm. Moreover, the information exchange network needs not to be undirected or strongly connected. Finally, two numerical simulations are performed to verify the usefulness and effectiveness of our results.
|
Received: 07 September 2012
Revised: 31 October 2012
Accepted manuscript online:
|
PACS:
|
05.45.Gg
|
(Control of chaos, applications of chaos)
|
|
05.45.Xt
|
(Synchronization; coupled oscillators)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61134012 and 11271146). |
Corresponding Authors:
Shen Yi
E-mail: yishen64@163.com
|
Cite this article:
Wang Guan (王冠), Shen Yi (沈轶), Yin Quan (尹泉) Exponential synchronization of coupled memristive neural networks via pinning control 2013 Chin. Phys. B 22 050504
|
[1] |
Chua L O 1971 IEEE Trans. Circuit Theory 18 507
|
[2] |
Strukov D B, Snider G S, Stewart D R and Williams R S 2008 Nature 453 80
|
[3] |
Itoh M and Chua L O 2008 Int. J. Bifurcat. Chaos 18 3183
|
[4] |
Borghetti J, Snider G S, Kuekes P J, Yang J J, Stewart D R and Williams R S 2010 Nature 464 873
|
[5] |
Hu J and Wang J 2010 Proceedings of the 6th IEEE World Congress on Computational Intelligence and International Joint Conference on Neural Networks, July 18-23, 2010 Barcelona, Spain, p. 1
|
[6] |
Bao B C, Liu Z and Xu J P 2010 Chin. Phys. B 19 030510
|
[7] |
Bao B C, Xu J P and Liu Z 2010 Chin. Phys. Lett. 27 070504
|
[8] |
Wen S P, Wu A L and Zeng Z G 2012 Inf. Sci. 183 106
|
[9] |
Wen S P, Zeng Z G and Huang T W 2012 Neurocomputing 97 233
|
[10] |
Fang X D, Tang Y H and Wu J J 2012 Chin. Phys. B 21 098901
|
[11] |
Zhang G D, Shen Y and Sun J W 2012 Neurocomputing 97 149
|
[12] |
Wu A L and Zeng Z G 2012 Neural Netw. 36 1
|
[13] |
Wu A L and Zeng Z G 2012 IEEE Trans. Neural Netw. Learn. Syst. 23 1919
|
[14] |
Zhou J and Huang D 2012 Chin. Phys. B 21 048401
|
[15] |
Nedaaee O E and Sahimi M 2011 Phys. Rev. E 83 031105
|
[16] |
Chua L O and Yang L 1988 IEEE Trans. Circ. Syst. 35 1257
|
[17] |
Filippov A F 1988 Differential Equations with Discontinuous Right-Hand Sides (Boston: Kluwer Academic Publishers)
|
[18] |
Forti M and Nistri P 2003 IEEE Trans. Circ. Syst. Regul. Pap. 50 1421
|
[19] |
Chang C L, Fan K W, Chung I F and Lin C T 2006 IEEE Trans. Circ. Syst. Express Briefs 53 602
|
[20] |
Cao J D, Chen G R and Li P 2008 IEEE Trans. Syst. Man Cybern. Part. B Cybern. 38 488
|
[21] |
Liu Y R, Wang Z D and Liu X H 2008 Int. J. Comput. Math. 85 1299
|
[22] |
Lu J Q, Ho D W C and Wang Z D 2009 IEEE Trans. Neural Netw. 20 1617
|
[23] |
Yang X S, Cao J D and Lu J Q 2012 IEEE Trans. Neural Netw. Learn. Syst. 23 60
|
[24] |
Wu C 2010 IEEE Circ. Syst. Mag. 10 55
|
[25] |
Liu X Y, Chen T P, Cao J D and Lu W L 2011 Neural Netw. 24 1013
|
[26] |
Ganguli S, Huh D S and Sompolinsky H 2008 Proc. Natl. Acad. Sci. USA 105 18970
|
[27] |
Li X, Wang X F and Chen G R 2004 IEEE Trans. Circ. Syst. Regul. Pap. 51 2074
|
[28] |
Chen T P, Liu X W and Lu W L 2007 Circ. Syst. Regul. Pap. 54 1317
|
[29] |
Liu Z B, Zhang H G and Sun Q Y 2010 Chin. Phys. B 19 090506
|
[30] |
Song Q and Cao J D 2010 IEEE Trans. Circ. Syst. Regul. Pap. 57 672
|
[31] |
Li L L and Cao J D 2011 Neurocomputing 74 846
|
[32] |
Xiong W J, Ho D W C and Wang Z D 2011 IEEE Trans. Neural Netw. 22 1231
|
[33] |
Wang S G and Yao H X 2012 Chin. Phys. B 21 050508
|
[34] |
Xu J F, Min L Q and Chen G R 2004 Chin. Phys. Lett. 21 1445
|
[35] |
Xia Y H, Yang Z J and Han M A 2009 IEEE Trans. Neural Netw. 20 1165
|
[36] |
Han F L, Hu J K, Yu X H and Wang Y 2007 Appl. Math. Comput. 185 931
|
[37] |
Wang Z, Huang X, Li N and Song X N 2012 Chin. Phys. B 21 050506
|
[38] |
Ishii H, Tempo R and Bai E W 2012 IEEE Trans. Autom. Control 57 2703
|
[39] |
Rakkiyappan R and Balasubramaniam P 2010 Fuzzy Sets Syst. 161 1823
|
[40] |
Boyd S, Ghaoui L E, Feron E and Balakrishnan V 1994 Linear Matrix Inequalities in System and Control Theory (Philadelphia: SIAM)
|
[41] |
Watts D J and Strogatz S H 1998 Nature 393 440
|
[42] |
Massimiliano D M, Mario D B, Edmondo D T and Manfredi S 2012 IEEE Trans. Circ. Syst. Regul. Pap. 59 1029
|
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
|
|
|