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Sliding mode tracking synchronization of an uncertain complex network

Liu Shuang Lü Ling Li Gang

Sliding mode tracking synchronization of an uncertain complex network

Liu Shuang, Lü Ling, Li Gang
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  • The problem of tracking synchronization for an uncertain complex network is proposed. By selecting an appropriate sliding surface, designing parameter identification laws and sliding mode controllers, the tracking synchronization between the network and output signal is achieved. The simulation results show that all the state variables in the network can track target orbit strictly, which shows that the method is effective.
    • Funds: Project supported by the Natural Science Foundation of Liaoning Province, China (Grant No. 20082147) and the Innovative Team Program of Liaoning Educational Committee, China (Grant No. 2008T108).
    [1]

    Emelyanov S V 1959 Automat. Rem. Contr. 20 983

    [2]

    Qi D L, Yang J, Zhang J L 2010 Chin. Phys. B 19 100506

    [3]

    Chen M, Jiang C S, Jiang B, Wu Q X 2009 Chaos Soliton. Fract. 39 1856

    [4]

    Zribi M, Smaoui N, Salim H 2009 Chaos Soliton. Fract. 42 3197

    [5]

    Wang H, Han Z Z, Xie Q Y, Zhang W 2009 Commun. Nonlinear Sci. Numer. Simulat. 14 2728

    [6]

    Vasegh N, Khellat F 2009 Chaos Soliton. Fract. 42 1054

    [7]

    Li M, Liu C X 2010 Chin. Phys. B 19 100504

    [8]

    Tavazoei M S, Haeri M 2008 Physica A 387 57

    [9]

    Haeri M, Tavazoei M S, Naseh M R 2007 Chaos Soliton. Fract. 33 1230

    [10]

    Vincent U E 2008 Chaos Soliton. Fract. 37 1065

    [11]

    Huang D 2004 Phys. Rev. E 69 067201

    [12]

    Feng J W, He L, Xu C, Austin F, Wu G 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 2546

    [13]

    Li X C, Xu W, Xiao Y Z 2008 Acta Phys. Sin. 57 4721 (in Chinese) [李秀春, 徐伟, 肖玉柱 2008 物理学报 57 4721]

    [14]

    Kalsi K, Lian J, Hui S, Zak S H 2010 Automatica 46 347

    [15]

    Cai N, Jing Y, Zhang S 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 1613

    [16]

    Wang C C, Pai N S, Yau H T 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 741

    [17]

    Pai N S, Yau H T 2011 Commun. Nonlinear Sci. Numer. Simulat. 16 133

    [18]

    Farivar F, Shoorehdeli M A, Nekoui M A, Teshnehlab M 2011 Expert Syst. Appl. 38 4714

    [19]

    Utkin V 1977 IEEE Trans. Automatic Control 22 212

    [20]

    Sarpturk S, Istefanopulos Y, Kaynak O 1987 IEEE Trans. Automatic Control 32 930

    [21]

    Bartolini G, Ferrara A, Usani E 1998 IEEE Trans. Automatic Control 43 241

    [22]

    Roopaei M, Sahraei B R, Lin T C 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 4158

    [23]

    Lü L 2000 Nonlinear Dynamics and Chaos (Dalian: Dalian Publishing House) (in Chinese) [吕翎 2000 非线性动力学与混沌 (大连:大连出版社)]

    [24]

    Kyprianidis I M, Volos Ch K, Stavrinides S G, Stouboulos I N, Anagnostopoulos A N 2010 J. Eng. Sci. Tech. Rev. 3 41

    [25]

    Lorenz E N 1963 J. Atmos. Sci. 20 130

  • [1]

    Emelyanov S V 1959 Automat. Rem. Contr. 20 983

    [2]

    Qi D L, Yang J, Zhang J L 2010 Chin. Phys. B 19 100506

    [3]

    Chen M, Jiang C S, Jiang B, Wu Q X 2009 Chaos Soliton. Fract. 39 1856

    [4]

    Zribi M, Smaoui N, Salim H 2009 Chaos Soliton. Fract. 42 3197

    [5]

    Wang H, Han Z Z, Xie Q Y, Zhang W 2009 Commun. Nonlinear Sci. Numer. Simulat. 14 2728

    [6]

    Vasegh N, Khellat F 2009 Chaos Soliton. Fract. 42 1054

    [7]

    Li M, Liu C X 2010 Chin. Phys. B 19 100504

    [8]

    Tavazoei M S, Haeri M 2008 Physica A 387 57

    [9]

    Haeri M, Tavazoei M S, Naseh M R 2007 Chaos Soliton. Fract. 33 1230

    [10]

    Vincent U E 2008 Chaos Soliton. Fract. 37 1065

    [11]

    Huang D 2004 Phys. Rev. E 69 067201

    [12]

    Feng J W, He L, Xu C, Austin F, Wu G 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 2546

    [13]

    Li X C, Xu W, Xiao Y Z 2008 Acta Phys. Sin. 57 4721 (in Chinese) [李秀春, 徐伟, 肖玉柱 2008 物理学报 57 4721]

    [14]

    Kalsi K, Lian J, Hui S, Zak S H 2010 Automatica 46 347

    [15]

    Cai N, Jing Y, Zhang S 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 1613

    [16]

    Wang C C, Pai N S, Yau H T 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 741

    [17]

    Pai N S, Yau H T 2011 Commun. Nonlinear Sci. Numer. Simulat. 16 133

    [18]

    Farivar F, Shoorehdeli M A, Nekoui M A, Teshnehlab M 2011 Expert Syst. Appl. 38 4714

    [19]

    Utkin V 1977 IEEE Trans. Automatic Control 22 212

    [20]

    Sarpturk S, Istefanopulos Y, Kaynak O 1987 IEEE Trans. Automatic Control 32 930

    [21]

    Bartolini G, Ferrara A, Usani E 1998 IEEE Trans. Automatic Control 43 241

    [22]

    Roopaei M, Sahraei B R, Lin T C 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 4158

    [23]

    Lü L 2000 Nonlinear Dynamics and Chaos (Dalian: Dalian Publishing House) (in Chinese) [吕翎 2000 非线性动力学与混沌 (大连:大连出版社)]

    [24]

    Kyprianidis I M, Volos Ch K, Stavrinides S G, Stouboulos I N, Anagnostopoulos A N 2010 J. Eng. Sci. Tech. Rev. 3 41

    [25]

    Lorenz E N 1963 J. Atmos. Sci. 20 130

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Publishing process
  • Received Date:  15 January 2012
  • Accepted Date:  09 February 2012
  • Published Online:  20 August 2012

Sliding mode tracking synchronization of an uncertain complex network

  • 1. College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China
Fund Project:  Project supported by the Natural Science Foundation of Liaoning Province, China (Grant No. 20082147) and the Innovative Team Program of Liaoning Educational Committee, China (Grant No. 2008T108).

Abstract: The problem of tracking synchronization for an uncertain complex network is proposed. By selecting an appropriate sliding surface, designing parameter identification laws and sliding mode controllers, the tracking synchronization between the network and output signal is achieved. The simulation results show that all the state variables in the network can track target orbit strictly, which shows that the method is effective.

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