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A tracking control method is proposed for a class of chaotic systems with unknown parameters. The controller and recognizing rules of unknown parameters are designed based on Lyapunov stability theory. The method is illustrated by applications to unified chaotic systems and the simulation results showed the effectiveness of the proposed scheme.
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Keywords:
- chaotic system /
- tracking control /
- parameters identification
[1] Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821
[2] Chen H.K 2005 Chaos, Solitons and Fractals 23 1245
[3] Chen M, Han Z 2003 Chaos, Solitons and Fractals 17 709
[4] Elabbasy E M, Agiza H N, Dessoky M M, 2004 Chaos, Solitons and Fractals 21 657
[5] Han X, Lu J A, Wu X 2004 Chaos, Solitons and Fractals 22 221
[6] Li J F, Lin H, Li N 2006 Acta Phys. Sin. 55 3992 (in Chinese) [李建芬、林 辉、李 农 2006 55 3992]
[7] Feng J W, Xu C, Tang J L 2007 Chaos, Solitons and Fractals 32 1413
[8] Li N, Li J F, Liu Y P, Ma J 2008 Acta Phys. Sin. 57 1404 (in Chinese) [李 农、李建芬、刘宇平、马 健 2008 57 1404]
[9] Li N, Li J F 2008 Acta Phys. Sin. 57 6093 (in Chinese) [李 农、李建芬 2008 57 6093]
[10] Ma J, Wang Q Y, Jin W Y, Xia Y F 2008 Chin. Phys. Lett.25 3582
[11] Ghosh D 2009 Chaos 19 013102
[12] Li J F, Li N, Liu Y P, Gan Y 2009 Acta Phys. Sin. 58 779 (in Chinese) [李建芬、李 农、刘宇平、甘 轶 2009 58 779]
[13] Min F H, Wang Z Q 2008 Acta Phys. Sin.57 31 (in Chinese) [闵富红、王执铨 2008 57 31]
[14] Chen L, Wang D S 2007 Acta Phys. Sin. 56 5662 (in Chinese) [谌 龙、王德石 2007 56 5662]
[15] Min F H, Yu Y, Ge C J 2009 Acta Phys. Sin. 58 1456 (in Chinese) [闵富红、余 杨、 葛曹君 2009 58 1456]
[16] Luo X H, Li H Q, Chen Q H 2009 Acta Phys. Sin. 58 7532 (in Chinese) [罗小华、李华青、陈秋华 2009 58 7532]
[17] Sun F, Peng H P, Luo Q, Li L X, Yang Y X 2009 Chaos 19 023109
[18] Lü J H, Chen G R Zhang S C 2002 Int.J.Bifuec.Chaos 12 1001
[19] Yang X K, Cai L,Zhao X H,Feng C W 2010 Acta Phys. Sin. 59 3740 (in Chinese) [杨晓阔、蔡 理、赵晓辉、冯朝文 2010 59 3740]
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[1] Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821
[2] Chen H.K 2005 Chaos, Solitons and Fractals 23 1245
[3] Chen M, Han Z 2003 Chaos, Solitons and Fractals 17 709
[4] Elabbasy E M, Agiza H N, Dessoky M M, 2004 Chaos, Solitons and Fractals 21 657
[5] Han X, Lu J A, Wu X 2004 Chaos, Solitons and Fractals 22 221
[6] Li J F, Lin H, Li N 2006 Acta Phys. Sin. 55 3992 (in Chinese) [李建芬、林 辉、李 农 2006 55 3992]
[7] Feng J W, Xu C, Tang J L 2007 Chaos, Solitons and Fractals 32 1413
[8] Li N, Li J F, Liu Y P, Ma J 2008 Acta Phys. Sin. 57 1404 (in Chinese) [李 农、李建芬、刘宇平、马 健 2008 57 1404]
[9] Li N, Li J F 2008 Acta Phys. Sin. 57 6093 (in Chinese) [李 农、李建芬 2008 57 6093]
[10] Ma J, Wang Q Y, Jin W Y, Xia Y F 2008 Chin. Phys. Lett.25 3582
[11] Ghosh D 2009 Chaos 19 013102
[12] Li J F, Li N, Liu Y P, Gan Y 2009 Acta Phys. Sin. 58 779 (in Chinese) [李建芬、李 农、刘宇平、甘 轶 2009 58 779]
[13] Min F H, Wang Z Q 2008 Acta Phys. Sin.57 31 (in Chinese) [闵富红、王执铨 2008 57 31]
[14] Chen L, Wang D S 2007 Acta Phys. Sin. 56 5662 (in Chinese) [谌 龙、王德石 2007 56 5662]
[15] Min F H, Yu Y, Ge C J 2009 Acta Phys. Sin. 58 1456 (in Chinese) [闵富红、余 杨、 葛曹君 2009 58 1456]
[16] Luo X H, Li H Q, Chen Q H 2009 Acta Phys. Sin. 58 7532 (in Chinese) [罗小华、李华青、陈秋华 2009 58 7532]
[17] Sun F, Peng H P, Luo Q, Li L X, Yang Y X 2009 Chaos 19 023109
[18] Lü J H, Chen G R Zhang S C 2002 Int.J.Bifuec.Chaos 12 1001
[19] Yang X K, Cai L,Zhao X H,Feng C W 2010 Acta Phys. Sin. 59 3740 (in Chinese) [杨晓阔、蔡 理、赵晓辉、冯朝文 2010 59 3740]
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