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Volumn 2, Issue , 2010, Pages 149-152

Estimating the globally exponentially attractive set and positively invariant set for the Qi chaotic system and its applications to chaos synchronization

Author keywords

Chaos; Generalized Lyapunov function; Globally exponentially attractive set; Linear feedback control; Positive invariant set

Indexed keywords

ALGEBRAIC CRITERIA; CHAOS SYNCHRONIZATION; EXTENSION PRINCIPLES; GENERALIZED LYAPUNOV FUNCTIONS; GLOBALLY EXPONENTIAL SYNCHRONIZATION; GLOBALLY EXPONENTIALLY ATTRACTIVE SET; INVARIANT SET; LINEAR FEEDBACK; LINEAR FEEDBACK CONTROL; NUMERICAL SIMULATION; POSITIVE DEFINITE; POSITIVE INVARIANT SET; SYNCHRONIZATION PROBLEM; SYNCHRONOUS ERRORS;

EID: 77953157965     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICMTMA.2010.310     Document Type: Conference Paper
Times cited : (3)

References (18)
  • 1
    • 33845448215 scopus 로고    scopus 로고
    • Generalized Projective Synchronization between Lorenz System and Chen's system
    • G.H. Li, "Generalized Projective Synchronization between Lorenz System and Chen's system", Chaos, Solitions and Fractals, 2007, 32, pp.1454-11448
    • (2007) Chaos, Solitions and Fractals , vol.32 , pp. 1454-11448
    • Li, G.H.1
  • 2
    • 4243073993 scopus 로고    scopus 로고
    • Lag Synchronization of Rossler System and Chua Circuit via a Scalar Signal
    • C.D. Li, X.F. Liao, "Lag Synchronization of Rossler System and Chua Circuit via A Scalar Signal", Physics Letters A, 2004, 329, pp.301-308.
    • (2004) Physics Letters A , vol.329 , pp. 301-308
    • Li, C.D.1    Liao, X.F.2
  • 4
    • 50049115648 scopus 로고    scopus 로고
    • Globally Exponentially Attractive Set and Feedback Synchronization of a New Chaos System
    • W.F. Fu, M.H. Jiang, "Globally Exponentially Attractive Set and Feedback Synchronization of a New Chaos System", Journal of Wuhan University of Technology, 2008, 30(7), pp.103-106.
    • (2008) Journal of Wuhan University of Technology , vol.30 , Issue.7 , pp. 103-106
    • Fu, W.F.1    Jiang, M.H.2
  • 6
    • 18144402417 scopus 로고    scopus 로고
    • Analysis of a new chaotic system
    • G.Y. Qi, G.R. Chen, S.Z. Du, et.al., "Analysis of a new chaotic system", Physica A, 2005, (352), pp.295-308.
    • (2005) Physica A , vol.352 , pp. 295-308
    • Qi, G.Y.1    Chen, G.R.2    Du, S.Z.3
  • 8
    • 84984076276 scopus 로고
    • Attract or Localization of the Lorenz System
    • G. Leonov, A. Bunin, N. Koksch, "Attract or Localization of the Lorenz System, ZAMM, 1987, 67 (2), pp.649-656.
    • (1987) ZAMM , vol.67 , Issue.2 , pp. 649-656
    • Leonov, G.1    Bunin, A.2    Koksch, N.3
  • 9
    • 38949163036 scopus 로고    scopus 로고
    • Globally Exponentially Attractive Sets of the Family of Lorenz Systems
    • X. X Liao, Y. L. Fu, S. L. Xie, et al, "Globally Exponentially Attractive Sets of the Family of Lorenz Systems", Science in China Series F, 2008, 51(3), pp.283-292.
    • (2008) Science in China Series F , vol.51 , Issue.3 , pp. 283-292
    • Liao, X.X.1    Fu, Y.L.2    Xie, S.L.3
  • 10
    • 33845518527 scopus 로고    scopus 로고
    • New Estimates for Globally Attractive and Positive Invariant Set of the Family of the Lorenz
    • P. Yu, X X. Liao, "New Estimates for Globally Attractive and Positive Invariant Set of the Family of the Lorenz", Int. J Bifurcation and Chaos, 2006, 16(11), pp.3383-3390.
    • (2006) Int. J Bifurcation and Chaos , vol.16 , Issue.11 , pp. 3383-3390
    • Yu, P.1    Liao, X.X.2
  • 11
    • 69949094391 scopus 로고    scopus 로고
    • Positive Invariant Set and the Globally Exponentially Attractive Set of Lorenz System Group
    • X.X. Liao, H.G. Luo, Y.L. Fu, et al, "Positive Invariant Set and the Globally Exponentially Attractive Set of Lorenz System Group", Science in China-E, 2007, 37(6), pp.757-769
    • (2007) Science in China-E , vol.37 , Issue.6 , pp. 757-769
    • Liao, X.X.1    Luo, H.G.2    Fu, Y.L.3
  • 12
    • 33750613088 scopus 로고    scopus 로고
    • New Results for Globally Attractive Set and Positive Invariant Set of Lorenz System and Application of Chaos Control and Synchronization
    • X.X. Liao, "New Results for Globally Attractive Set and Positive Invariant Set of Lorenz System and Application of Chaos Control and Synchronization", Science in China-E, 2004,34(12), pp.1404-1419.
    • (2004) Science in China-E , vol.34 , Issue.12 , pp. 1404-1419
    • Liao, X.X.1
  • 13
    • 33750606677 scopus 로고    scopus 로고
    • Estimating the Ultimate Bound and Positive Invariant Set for the Lorenz System and a Unified Chaotic System
    • D.M. Li, J.A. Lu, X.Q. Wu, et al, "Estimating the Ultimate Bound and Positive Invariant Set for the Lorenz System and a Unified Chaotic System", Journal of Mathematical Analysis and Application, 2006, 323(2), pp.844-853.
    • (2006) Journal of Mathematical Analysis and Application , vol.323 , Issue.2 , pp. 844-853
    • Li, D.M.1    Lu, J.A.2    Wu, X.Q.3
  • 15
    • 77951184067 scopus 로고    scopus 로고
    • The Ultimate Bound of a Chaotic System and Its Application in Chaos Synchronization
    • H. X. Xu, Y. L.Shu, G.X.Yuan, "The Ultimate Bound of a Chaotic System and Its Application in Chaos Synchronization", J Chongqing Technol Business Univ. (Nat Sci Ed), 2008, 25(6), pp.564-568.
    • (2008) J Chongqing Technol Business Univ. (Nat Sci Ed) , vol.25 , Issue.6 , pp. 564-568
    • Xu, H.X.1    Shu, Y.L.2    Yuan, G.X.3
  • 16
    • 77951161505 scopus 로고    scopus 로고
    • Estimating the Ultimate Bound and Positive Invariant Set for a Generalized Lorenz System
    • Y. L. Shu, Y.H. Zhang, "Estimating the Ultimate Bound and Positive Invariant Set for a Generalized Lorenz System ", Journal of Chongqing University: English Edition, 2008, 7(2), pp.151-154.
    • (2008) Journal of Chongqing University: English Edition , vol.7 , Issue.2 , pp. 151-154
    • Shu, Y.L.1    Zhang, Y.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.