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Based on the fractional stability theory, the controller and recognizing rules of the uncertain parameters are designed. Tracking control and synchronization of fractional hyper chaotic Lorenz system is realized. Numerical simulation verifies the effectiveness of the approach of this paper.
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Keywords:
- fractional /
- hyper chaotic /
- tracking control and synchronizing /
- adaptive
[1] ［1］Liu C X 2002 Acta Phys. Sin. 51 1198 (in Chinese) ［刘崇新 2002 51 1198 ］
[2] ［2］Mandelbort B B 1983 The Fractal Geometry of Nature (New York: Freeman)
[3] ［3］Hu J B, Han Y, Zhao L D 2008 Acta Phys. Sin. 57 7522 (in Chinese) ［胡建兵、韩焱、赵灵冬 2008 57 7522］
[4] ［4］Grigorenko I, Grigorenko E 2003 Phys. Rev. Lett. 91 034101
[5] ［5］Li C P, Peng G J 2004 Chaos Soliton. Fract. 22 443
[6] ［6］Li C G, Chen G R 2004 Chaos Soliton. Fract. 22 549
[7] ［7］Tu L L, Lu J A 2005 Chin. Phys. 14 1755
[8] ［8］Zhang J, Xu H B, Wang H J 2006 Chin. Phys. 15 953
[9] ［9］Wang X Y, Wu X J 2006 Acta Phys. Sin. 55 605 (in Chinese) ［王兴元、武相军 2006 55 605］
[10] ］Yu Y G, Wen G G, Li H X 2009 Int. J. Nonlin. Sci. Num. 10 379
[11] ］Sheu L J, Tam L M, Lao S K 2009 Int. J. Nonlin. Sci. Num. 10 33
[12] ］Xu C, Wu G, Feng J W 2008 Int. J. Nonlin. Sci. Num. 9 89
[13] ］Wang X Y, Wang M J 2007 Acta Phys. Sin. 56 5136 (in Chinese) ［王兴元、王明军 2007 56 5136］
[14] ］Hu J B, Han Y, Zhao L D 2009 Acta Phys. Sin. 58 2235 (in Chinese) ［胡建兵、韩焱、赵灵冬 2009 58 2235］
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[1] ［1］Liu C X 2002 Acta Phys. Sin. 51 1198 (in Chinese) ［刘崇新 2002 51 1198 ］
[2] ［2］Mandelbort B B 1983 The Fractal Geometry of Nature (New York: Freeman)
[3] ［3］Hu J B, Han Y, Zhao L D 2008 Acta Phys. Sin. 57 7522 (in Chinese) ［胡建兵、韩焱、赵灵冬 2008 57 7522］
[4] ［4］Grigorenko I, Grigorenko E 2003 Phys. Rev. Lett. 91 034101
[5] ［5］Li C P, Peng G J 2004 Chaos Soliton. Fract. 22 443
[6] ［6］Li C G, Chen G R 2004 Chaos Soliton. Fract. 22 549
[7] ［7］Tu L L, Lu J A 2005 Chin. Phys. 14 1755
[8] ［8］Zhang J, Xu H B, Wang H J 2006 Chin. Phys. 15 953
[9] ［9］Wang X Y, Wu X J 2006 Acta Phys. Sin. 55 605 (in Chinese) ［王兴元、武相军 2006 55 605］
[10] ］Yu Y G, Wen G G, Li H X 2009 Int. J. Nonlin. Sci. Num. 10 379
[11] ］Sheu L J, Tam L M, Lao S K 2009 Int. J. Nonlin. Sci. Num. 10 33
[12] ］Xu C, Wu G, Feng J W 2008 Int. J. Nonlin. Sci. Num. 9 89
[13] ］Wang X Y, Wang M J 2007 Acta Phys. Sin. 56 5136 (in Chinese) ［王兴元、王明军 2007 56 5136］
[14] ］Hu J B, Han Y, Zhao L D 2009 Acta Phys. Sin. 58 2235 (in Chinese) ［胡建兵、韩焱、赵灵冬 2009 58 2235］
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