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Recently,most of works had studied the impulsive stabilization of networks with time-varying delays. But there are few results about synchronization criterion of networks with time-varying delays via adaptive-impulsive control. In this paper,by adaptive-impulsive control method,projective synchronization in the drive-response complex network of partially linear systems with time-varying coupling is investigated. An adaptive-feedback controller,updating laws and a linear impulsive controller are proposed. An adaptive-impulsive projective synchronization criterion of network with time-varying coupling is established. And the coupling configuration matrix in network is not required irreducible. Moreover,numerical simulation is used to verify the effectiveness of the scheme.
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Keywords:
- complex network /
- projective synchronization /
- time-varying coupling /
- adaptive-impulsive control
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[8] Xu D,Chee C 2002 Phys. Rev. E 66 046218
[9] Molaei M,Umut O 2008 Chaos. Soliton. Fract 37 227
[10] Zhou J,Chen T,Xiang L 2006 Int. J. Bifurcation and Chaos 16 2923
[11] Zhou J,Chen T,Xiang L 2006 Chaos,Solitons and Fractals 27 905
[12] Ren Q,Zhao J 2007 Phys. Rev. E 76 016207
[13] Luo Q,Wu W,Li L X,Yang Y X,Peng H P 2008 Acta Phys. Sin. 57 1529 (in Chinese) [罗 群、吴 薇、李丽香、杨义 先、彭海朋 2008 57 1529] 〖14] Gao M,Cui B T 2009 Chin. Phys.B 18 76
[14] Guo R Z 2007 Acta Phys. Sin. 56 5655 (in Chinese) [罗润梓 2007 56 5655]
[15] Li K,Lai C 2008 Phys. Lett. A 372 1601
[16] Zhao Y,Yang Y 2008 Phys. Lett. A 372 7165
[17] Zhang X H,Li D 2009 Chin. Phys. B 18 1774
[18] Zhou J,Wu Q J 2009 IEEE Trans. Circuits Syst. Ⅱ-Express Briefs 56 744
[19] Cai S,Zhou J,Xiang L,Liu Z 2008 Phys. Lett. A 372 4990
[20] Li K,Zhang X,Li Z 2009 Chaos. Soliton. Fract 41 1427
[21] Yu Y B,Bao J Fu,Zhang H B,Zhong Q S,Liao X F,Yu J B 2008 Chin. Phys. B 17 2377
[22] Lu J,Cao J 2007 Physica A 382 672
[23] Liu X Z,Wang Q 2007 Nonlinear Analysis 66 1465
[24] Lü J H,Chen G R,Cheng D Z,Celikovsky S 2002 Int. J. Bifur. Chaos 12 2917
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[1] Barahona M,Pecora L 2002 Phys. Rev. Lett. 89 054101
[2] Amritkar R,Rangarajan G 2006 Phys. Rev. Lett. 96 258102
[3] Xu D,Li X,Wang X F 2007 Acta Phys. Sin. 56 1313 (in Chinese) [许 丹、李 翔、汪小帆 2007 56 1313]
[4] Li C,Sun W,Kurths J 2007 Phys. Rev. E 76 046204
[5] Marr C,Muller-Linow M,Hutt M T 2008 Phys. Rev. E 75 041917
[6] Landsman A,Schwartz I 2007 Phys. Rev. E 75 026201
[7] Zhang H G,Ma T D,Yu W,Fu J 2008 Chin. Phys. B 17 3616
[8] Xu D,Chee C 2002 Phys. Rev. E 66 046218
[9] Molaei M,Umut O 2008 Chaos. Soliton. Fract 37 227
[10] Zhou J,Chen T,Xiang L 2006 Int. J. Bifurcation and Chaos 16 2923
[11] Zhou J,Chen T,Xiang L 2006 Chaos,Solitons and Fractals 27 905
[12] Ren Q,Zhao J 2007 Phys. Rev. E 76 016207
[13] Luo Q,Wu W,Li L X,Yang Y X,Peng H P 2008 Acta Phys. Sin. 57 1529 (in Chinese) [罗 群、吴 薇、李丽香、杨义 先、彭海朋 2008 57 1529] 〖14] Gao M,Cui B T 2009 Chin. Phys.B 18 76
[14] Guo R Z 2007 Acta Phys. Sin. 56 5655 (in Chinese) [罗润梓 2007 56 5655]
[15] Li K,Lai C 2008 Phys. Lett. A 372 1601
[16] Zhao Y,Yang Y 2008 Phys. Lett. A 372 7165
[17] Zhang X H,Li D 2009 Chin. Phys. B 18 1774
[18] Zhou J,Wu Q J 2009 IEEE Trans. Circuits Syst. Ⅱ-Express Briefs 56 744
[19] Cai S,Zhou J,Xiang L,Liu Z 2008 Phys. Lett. A 372 4990
[20] Li K,Zhang X,Li Z 2009 Chaos. Soliton. Fract 41 1427
[21] Yu Y B,Bao J Fu,Zhang H B,Zhong Q S,Liao X F,Yu J B 2008 Chin. Phys. B 17 2377
[22] Lu J,Cao J 2007 Physica A 382 672
[23] Liu X Z,Wang Q 2007 Nonlinear Analysis 66 1465
[24] Lü J H,Chen G R,Cheng D Z,Celikovsky S 2002 Int. J. Bifur. Chaos 12 2917
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