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PC synchronization of a class of chaotic systems via event-triggered control |
Luo Run-Zi (罗润梓)a, He Long-Min (何龙敏)b |
a Department of Mathematics, Nanchang University, Nanchang 330031, China; b Department of Mathematics, Shanghai University, Shanghai 200444, China |
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Abstract The PC synchronization of a class of chaotic systems is investigated in this paper. The drive system is assumed to have only one state variable available. By constructing proper observers, some novel criteria for PC synchronization are proposed via event-triggered control scheme. The Lü system and Chen system are taken as examples to demonstrate the efficiency of the proposed approach.
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Received: 29 October 2013
Revised: 20 January 2014
Accepted manuscript online:
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PACS:
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05.45.Gg
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(Control of chaos, applications of chaos)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11361043 and 61304161) and the Natural Science Foundation of Jiangxi Province, China (Grant No. 20122BAB201005). |
Corresponding Authors:
Luo Run-Zi
E-mail: luo_rz@163.com
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About author: 05.45.Gg |
Cite this article:
Luo Run-Zi (罗润梓), He Long-Min (何龙敏) PC synchronization of a class of chaotic systems via event-triggered control 2014 Chin. Phys. B 23 070506
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[1] |
Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821
|
[2] |
Pourdehi S and Karimaghaee P 2012 Chaos 22 023145
|
[3] |
Kitajima H and Yoshihara T 2012 Physica D 241 1804
|
[4] |
Ahmadlou M and Adeli H 2012 Physica D 241 326
|
[5] |
Guo X Y and Li J M 2011 Chin. Phys. Lett. 28 120503
|
[6] |
Li G H 2007 Chaos Soliton. Fract. 32 1786
|
[7] |
Luo R Z, Wang Y L and Deng S C 2011 Chaos 21 043114
|
[8] |
Odibat Z M, Corson N, Aziz-Alaoui M A and Bertelle C 2010 Int. J. Bifurc. Chaos 20 81
|
[9] |
Peng C and Chen C 2008 Chaos Soliton. Fract. 37 598
|
[10] |
Zhao Y and Wang W 2009 Chaos Soliton. Fract. 41 60
|
[11] |
Chen C S 2011 Appl. Math. Comput. 217 10377
|
[12] |
Yu H T, Wang J, Deng B, Wei X L and Chen Y Y 2013 Chin. Phys. B 22 058701
|
[13] |
Liu J G 2013 Chin. Phys. B 22 060510
|
[14] |
Garcia E and Antsaklis P J 2013 IEEE Trans. Auto. Control 58 422
|
[15] |
Peng C and Yang T C 2013 Automatica 49 1326
|
[16] |
Yu H and Antsaklis P J 2013 Automatica 49 30
|
[17] |
Zhu H L and Zhang X B 2009 J. Inf. Comput. Sci. 4 033
|
[18] |
Farivar F, Shoorehdeli M A, Nekoui M A and Teshnehlab M 2012 Nonlinear Dyn. 67 1913
|
[19] |
Bai J, Yu Y G, Wang S and Song Y 2012 Commun. Nonlinear Sci. Numer. Simulat. 17 1921
|
[20] |
Koofigar H R, Sheikholeslam F and Hosseinnia S 2011 Chaos 21 043134
|
[21] |
Chen D, Zhang R, Sprott J C, Chen H and Ma X 2012 Chaos 22 023130
|
[22] |
Banerjee S, Jeeva S T S and Kurths J 2013 Chaos 23 013118
|
[23] |
Zhang K, Wang H and Fang H 2012 Commun. Nonlinear Sci. Numer. Simulat. 17 317
|
[24] |
Asheghan M and Míguez J 2013 Chaos 23 023108
|
[25] |
Lü J and Chen G 2002 Int. J. Bifurc. Chaos 12 659
|
[26] |
Chen G and Ueta T 1999 Int. J. Bifurc. Chaos 9 1465
|
[27] |
Lorenz E N 1963 J. Atmos. Sci. 20 130
|
[28] |
Lü J H, Chen G R, Cheng D Z and Celikovsky S 2002 Int. J. Bifurc. Chaos 12 2917
|
[29] |
Liu C, Liu T, Liu L and Liu K 2004 Chaos Soliton. Fract. 22 1031
|
[30] |
Sun Y J 2010 Phys. Lett. A 374 933
|
[31] |
Zhang Z Q, Shao H Y, Wang Z and Shen H 2012 Appl. Math. Comput. 218 7614
|
[32] |
Khalil H 2002 Nonlinear Sys. (Prentice Hall)
|
[33] |
Tallapragada P and Chopra N 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC) 5377
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