메뉴 건너뛰기




Volumn , Issue , 2009, Pages 902-907

Control and projective synchronization of fractional-order chaotic systems based on sliding mode control

Author keywords

Chaos control; Fractional order; Projective synchronization; Sliding mode control

Indexed keywords

ANALYSIS OF STABILITY; CHAOS CONTROL; FRACTIONAL-ORDER; FRACTIONAL-ORDER CHAOTIC SYSTEMS; FRACTIONAL-ORDER SYSTEMS; NUMERICAL SIMULATION; PROJECTIVE SYNCHRONIZATION; SLIDING MODE THEORY; STABILITY THEORIES;

EID: 70349309489     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICIEA.2009.5138327     Document Type: Conference Paper
Times cited : (2)

References (18)
  • 1
    • 0347687160 scopus 로고    scopus 로고
    • Analysis of Chua's dual chaotic circuit
    • Jun
    • C. X. Liu, "Analysis of Chua's dual chaotic circuit," Acta Phys. Sin., vol. 51, no. 6, pp. 1198-1202, Jun. 2002.
    • (2002) Acta Phys. Sin , vol.51 , Issue.6 , pp. 1198-1202
    • Liu, C.X.1
  • 2
    • 1842832060 scopus 로고    scopus 로고
    • Chaos in Chen's system with a fractional ordre
    • C. P. Li and G. J. Peng, "Chaos in Chen's system with a fractional ordre," Chaos, Solitons and Fractals, vol. 22, pp. 443-450, 2004.
    • (2004) Chaos, Solitons and Fractals , vol.22 , pp. 443-450
    • Li, C.P.1    Peng, G.J.2
  • 3
    • 0041384356 scopus 로고    scopus 로고
    • Chaotic Dynamics of the Fractional Lorenz System
    • I. Grigorenko and E. Grigorenko, "Chaotic Dynamics of the Fractional Lorenz System," Phys. Rev. Lett., vol. 91, 2003, 034101.
    • (2003) Phys. Rev. Lett , vol.91 , pp. 034101
    • Grigorenko, I.1    Grigorenko, E.2
  • 4
    • 34147144036 scopus 로고    scopus 로고
    • Chaos in a fractional order modified Duffing system
    • Z. M. Ge and C. Y. Ou, "Chaos in a fractional order modified Duffing system," Chaos, Solitons and Fractals, vol. 34, pp. 262-291, 2007.
    • (2007) Chaos, Solitons and Fractals , vol.34 , pp. 262-291
    • Ge, Z.M.1    Ou, C.Y.2
  • 5
    • 33646366905 scopus 로고    scopus 로고
    • Chaotic dynamics of the fractional-order Lü system and its synchronization
    • J. G. Lu, "Chaotic dynamics of the fractional-order Lü system and its synchronization," Phys. Lett. A, vol. 354, pp. 305-311, 2006.
    • (2006) Phys. Lett. A , vol.354 , pp. 305-311
    • Lu, J.G.1
  • 6
    • 20444477489 scopus 로고    scopus 로고
    • Hyperchaos in fractional order nonliner systems
    • W. M. Ahmad, "Hyperchaos in fractional order nonliner systems," Chaos, Solitons and Fractals, vol. 26, pp. 1459-1465, 2005.
    • (2005) Chaos, Solitons and Fractals , vol.26 , pp. 1459-1465
    • Ahmad, W.M.1
  • 7
    • 2042470796 scopus 로고    scopus 로고
    • Chaos in the fractional order Chen system and its conotrol
    • C. G. Li and G. R. Chen, "Chaos in the fractional order Chen system and its conotrol," Chaos, Solitons and Fractals, vol. 22, pp. 549-554, 2004.
    • (2004) Chaos, Solitons and Fractals , vol.22 , pp. 549-554
    • Li, C.G.1    Chen, G.R.2
  • 8
    • 24144473625 scopus 로고    scopus 로고
    • Chaos and chaotic control in a fractional-order electronic oscillator
    • X. Gao and J. B. Yu, "Chaos and chaotic control in a fractional-order electronic oscillator," Chinese Physics, vol. 14, no. 5, pp. 908-913, 2005.
    • (2005) Chinese Physics , vol.14 , Issue.5 , pp. 908-913
    • Gao, X.1    Yu, J.B.2
  • 9
    • 34548649783 scopus 로고    scopus 로고
    • Chaos in fractional-order Liu system and a fractional-order unified system and the synchronization between them
    • Sep
    • C. F. Zhang, J. F. Gao and L. Xu, "Chaos in fractional-order Liu system and a fractional-order unified system and the synchronization between them," Acta Phys. Sin., vol. 56, no. 9, pp. 5124-5130, Sep. 2007.
    • (2007) Acta Phys. Sin , vol.56 , Issue.9 , pp. 5124-5130
    • Zhang, C.F.1    Gao, J.F.2    Xu, L.3
  • 10
    • 0000777715 scopus 로고    scopus 로고
    • Projective Synchronization In Three-Dimensional Chaotic Systems
    • R. Mainieri and J. Rehacek, "Projective Synchronization In Three-Dimensional Chaotic Systems," Phys. Rev. Lett., vol. 82, pp. 3042-3045, 1999.
    • (1999) Phys. Rev. Lett , vol.82 , pp. 3042-3045
    • Mainieri, R.1    Rehacek, J.2
  • 11
    • 4644244178 scopus 로고    scopus 로고
    • Secure digital communication using controlled projective synchronisation of chaos
    • C. Y. Chee and D. L. Xu, "Secure digital communication using controlled projective synchronisation of chaos," Chaos, Solitons and Fractals, vol. 23, pp. 1063-1070, 2005.
    • (2005) Chaos, Solitons and Fractals , vol.23 , pp. 1063-1070
    • Chee, C.Y.1    Xu, D.L.2
  • 12
    • 38049132155 scopus 로고    scopus 로고
    • Controlling projective synchronization in coupled fractional order chaotic Chen system
    • Dec
    • S. Q. Shao, X. Gao and X. W. Liu, "Controlling projective synchronization in coupled fractional order chaotic Chen system," Acta Phys. Sin., vol. 56, no. 12 pp. 6815-6819, Dec. 2007.
    • (2007) Acta Phys. Sin , vol.56 , Issue.12 , pp. 6815-6819
    • Shao, S.Q.1    Gao, X.2    Liu, X.W.3
  • 13
    • 37549004404 scopus 로고    scopus 로고
    • Projective synchronization of fractional order chaotic system based on linear separation
    • X. Y. Wang and Y. J. He, "Projective synchronization of fractional order chaotic system based on linear separation," Phys. Lett. A, vol. 372, pp. 435-441, 2008.
    • (2008) Phys. Lett. A , vol.372 , pp. 435-441
    • Wang, X.Y.1    He, Y.J.2
  • 14
    • 41949105677 scopus 로고    scopus 로고
    • Nonlinear observer based full-state projective synchronization for a class of fractional-order chaotic system
    • Mar
    • X. R. Chen, C. X. Liu and Y. X. Li, "Nonlinear observer based full-state projective synchronization for a class of fractional-order chaotic system," Acta Phys. Sin., vol. 57, no. 3, pp. 1453-1457, Mar. 2008.
    • (2008) Acta Phys. Sin , vol.57 , Issue.3 , pp. 1453-1457
    • Chen, X.R.1    Liu, C.X.2    Li, Y.X.3
  • 16
    • 0002731965 scopus 로고    scopus 로고
    • Stability result for fractional differential equations with applications to control processing
    • Lille, France, pp
    • D. Matignon, "Stability result for fractional differential equations with applications to control processing," IMACS-SMC Proceedings, Lille, France, pp. 963-968, 1996.
    • (1996) IMACS-SMC Proceedings , pp. 963-968
    • Matignon, D.1
  • 17
    • 33750295344 scopus 로고    scopus 로고
    • Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
    • E. Ahmed, A. M. A. El-Sayed and H. A. A. El-Saka, "Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models," J. Math. Anal. Appl., vol. 325, pp. 542-553, 2007.
    • (2007) J. Math. Anal. Appl , vol.325 , pp. 542-553
    • Ahmed, E.1    El-Sayed, A.M.A.2    El-Saka, H.A.A.3
  • 18
    • 34347330038 scopus 로고    scopus 로고
    • A necessary condition for double scroll attractor existence in fractional-order systems
    • S. T. Mohammad and H. Mohammad, "A necessary condition for double scroll attractor existence in fractional-order systems," Phys. Lett. A, vol. 367, pp. 102-113, 2007.
    • (2007) Phys. Lett. A , vol.367 , pp. 102-113
    • Mohammad, S.T.1    Mohammad, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.