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Volumn 75, Issue 3, 2007, Pages 379-387

Synchronization criteria for non-autonomous chaotic systems via sinusoidal state error feedback control

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ERROR ANALYSIS; FEEDBACK CONTROL; LINEAR MATRIX INEQUALITIES; LOUDSPEAKERS; LYAPUNOV FUNCTIONS; SYNCHRONIZATION;

EID: 34347211779     PISSN: 00318949     EISSN: 14024896     Source Type: Journal    
DOI: 10.1088/0031-8949/75/3/025     Document Type: Article
Times cited : (38)

References (47)
  • 1
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • Pecora L M and Carroll T L 1990 Synchronization in chaotic systems Phy. Rev. Lett. 64 821-4
    • (1990) Phy. Rev. Lett. , vol.64 , Issue.8 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 2
    • 0001795716 scopus 로고    scopus 로고
    • Absolute stability theory and the synchronization problem
    • Curran P F and Chua L O 1997 Absolute stability theory and the synchronization problem Int. J. Bifurcation Chaos 7 1375-82
    • (1997) Int. J. Bifurcation Chaos , vol.7 , Issue.6 , pp. 1375-1382
    • Curran, P.F.1    Chua, L.O.2
  • 7
    • 0000072208 scopus 로고
    • Experimental demonstration of secure communications via chaotic synchronization
    • Kocarev L J et al 1992 Experimental demonstration of secure communications via chaotic synchronization Int. J. Bifurcation Chaos 2 709-713
    • (1992) Int. J. Bifurcation Chaos , vol.2 , Issue.3 , pp. 709-713
    • Kocarev, L.J.1    Al, E.2
  • 8
    • 13444258570 scopus 로고    scopus 로고
    • A new synchronization principle for a class of Lur'e systems with applications in secure communication
    • Bowong S, Kakmeni F M M and Koina R 2004 A new synchronization principle for a class of Lur'e systems with applications in secure communication Int. J. Bifurcation Chaos 14 2477-2491
    • (2004) Int. J. Bifurcation Chaos , vol.14 , Issue.7 , pp. 2477-2491
    • Bowong, S.1    Kakmeni, F.M.M.2    Koina, R.3
  • 9
    • 0035826148 scopus 로고    scopus 로고
    • Synchronization and rhythmic process in physiology
    • Glass L 2001 Synchronization and rhythmic process in physiology Nature 410 277-284
    • (2001) Nature , vol.410 , Issue.6825 , pp. 277-284
    • Glass, L.1
  • 10
    • 28844491402 scopus 로고    scopus 로고
    • Molecular communication through stochastic synchronization induced by extracellular fluctuations
    • Zhou T S, Chen L N and Aihara K 2005 Molecular communication through stochastic synchronization induced by extracellular fluctuations Phys. Rev. Lett. 95 178103
    • (2005) Phys. Rev. Lett. , vol.95 , Issue.17 , pp. 178103
    • Zhou, T.S.1    Chen, L.N.2    Aihara, K.3
  • 11
    • 19944367917 scopus 로고    scopus 로고
    • Dynamics and synchronization of coupled self-sustained electromechanical devices
    • Yamapi R and Woafo P 2005 Dynamics and synchronization of coupled self-sustained electromechanical devices J.Sound Vib. 285 1151-70
    • (2005) J.Sound Vib. , vol.285 , Issue.4-5 , pp. 1151-1170
    • Yamapi, R.1    Woafo, P.2
  • 12
    • 0037251324 scopus 로고    scopus 로고
    • Chaos, chaos control and synchronization of electro-mechanical gyrostat system
    • Ge Z M and Lin T N 2003 Chaos, chaos control and synchronization of electro-mechanical gyrostat system J.Sound Vib. 259 585-03
    • (2003) J.Sound Vib. , vol.259 , Issue.3 , pp. 585-503
    • Ge, Z.M.1    Lin, T.N.2
  • 14
    • 0032393729 scopus 로고    scopus 로고
    • Chaos in the Lorenz equations: A computer assisted proof.
    • Mischalkow K and Mrozek M 1998 Chaos in the Lorenz equations: a computer assisted proof. Part II: Details, Math. Comput. 67 1023-46
    • (1998) Part II: Details, Math. Comput. , vol.67 , pp. 1023-1046
    • Mischalkow, K.1    Mrozek, M.2
  • 15
    • 0034238522 scopus 로고    scopus 로고
    • Bifurcation analysis of Chen's equation
    • Ueta T and Chen G 2000 Bifurcation analysis of Chen's equation Int. J. Bifurcation Chaos 10 1917-31
    • (2000) Int. J. Bifurcation Chaos , vol.10 , Issue.8 , pp. 1917-1931
    • Ueta, T.1    Chen, G.2
  • 16
    • 0036011505 scopus 로고    scopus 로고
    • A new chaotic attractor coined
    • Lü J H and Chen G 2002 A new chaotic attractor coined Int. J. Bifurcation Chaos 12 659-61
    • (2002) Int. J. Bifurcation Chaos , vol.12 , Issue.3 , pp. 659-661
    • Lü, J.H.1    Chen, G.2
  • 17
    • 49549126801 scopus 로고
    • An equation for continuous chaos
    • Rössler O E 1976 An equation for continuous chaos Phy. Lett. A 57 397-8
    • (1976) Phy. Lett. A , vol.57 , Issue.5 , pp. 397-398
    • Rössler, O.E.1
  • 18
    • 1642290857 scopus 로고    scopus 로고
    • Chaos control by harmonic excitation with proper random phase
    • Lei Y, Xu W, Xu Y and Fang T 2004 Chaos control by harmonic excitation with proper random phase Chaos Solitons and Fractals 21 1175-81
    • (2004) Chaos Solitons and Fractals , vol.21 , Issue.5 , pp. 1175-1181
    • Lei, Y.1    Xu, W.2    Xu, Y.3    Fang, T.4
  • 19
    • 0037461477 scopus 로고    scopus 로고
    • Chaos and chaos synchronization of a symmetric gyro with linear-plus-cubic damping
    • Chen H K 2002 Chaos and chaos synchronization of a symmetric gyro with linear-plus-cubic damping, J. Sound Vib. 255 719-40
    • (2002) J. Sound Vib. , vol.255 , Issue.4 , pp. 719-740
    • Chen, H.K.1
  • 20
    • 0344896543 scopus 로고    scopus 로고
    • Chaos synchronization of a horizontal platform system
    • Ge Z M, Yu T C and Chen Y S 2003 Chaos synchronization of a horizontal platform system J. Sound Vib. 268 731-49
    • (2003) J. Sound Vib. , vol.268 , Issue.4 , pp. 731-749
    • Ge, Z.M.1    Yu, T.C.2    Chen, Y.S.3
  • 21
    • 13544258648 scopus 로고    scopus 로고
    • Chaos synchronization and parameter identification for gyroscope system
    • Ge Z M and Lee J K 2005 Chaos synchronization and parameter identification for gyroscope system Appl. Math. Comput. 163 667-82
    • (2005) Appl. Math. Comput. , vol.163 , Issue.2 , pp. 667-682
    • Ge, Z.M.1    Lee, J.K.2
  • 22
    • 0034610987 scopus 로고    scopus 로고
    • Transitions to chaos and synchronization in a nonlinear emitter-receiver system
    • Woafo P 2000 Transitions to chaos and synchronization in a nonlinear emitter-receiver system Phy. Lett. A 267 31-9
    • (2000) Phy. Lett. , vol.267 , Issue.1 , pp. 31-39
    • Woafo, P.1
  • 23
    • 0033167720 scopus 로고    scopus 로고
    • Synchronization in the human cardiorespiratory system
    • Schäfer C, Rosenblum M G, Abel H H and Kurths J 1999 Synchronization in the human cardiorespiratory system Phys. Rev. E 60 857-70
    • (1999) Phys. Rev. , vol.60 , Issue.1 , pp. 857-870
    • Schäfer, C.1    Rosenblum, M.G.2    Abel, H.H.3    Kurths, J.4
  • 24
    • 6344246244 scopus 로고    scopus 로고
    • Stability criterion for synchronization of linearly coupled unified chaotic systems
    • Park J H 2005 Stability criterion for synchronization of linearly coupled unified chaotic systems Chaos Solitons and Fractals 23 1319-25
    • (2005) Chaos Solitons and Fractals , vol.23 , Issue.4 , pp. 1319-1325
    • Park, J.H.1
  • 26
    • 18644364071 scopus 로고    scopus 로고
    • Lag synchronization of chaotic Lur'e systems via replacing variables control
    • Wu X F, Zhao Y and Zhou S 2005 Lag synchronization of chaotic Lur'e systems via replacing variables control Int. J. Bifurcation Chaos 15 617-35
    • (2005) Int. J. Bifurcation Chaos , vol.15 , Issue.2 , pp. 617-635
    • Wu, X.F.1    Zhao, Y.2    Zhou, S.3
  • 27
    • 0031258982 scopus 로고    scopus 로고
    • Impulsive stabilization for control and synchronization of chaotic systems: Theory and application to secure communication.
    • Yang T and Chua L O 1997 Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication. IEEE Transactions Circuits Syst.-I 44 976-88
    • (1997) IEEE Transactions Circuits Syst.-I , vol.44 , Issue.10 , pp. 976-988
    • Yang, T.1    Chua, L.O.2
  • 28
    • 0036722179 scopus 로고    scopus 로고
    • Synchronization of an uncertain unified chaotic system via adaptive control
    • Chen S and Lu J 2002 Synchronization of an uncertain unified chaotic system via adaptive control Chaos Solitons and Fractals 14 643-47
    • (2002) Chaos Solitons and Fractals , vol.14 , Issue.4 , pp. 643-647
    • Chen, S.1    Lu, J.2
  • 29
    • 0001160085 scopus 로고    scopus 로고
    • Switching manifold approach to chaos synchronization
    • Fang J Q, Hong Y and Chen G R 1999 Switching manifold approach to chaos synchronization Phys. Rev. E 59 2523-26
    • (1999) Phys. Rev. , vol.59 , Issue.3 , pp. 2523-2526
    • Fang, J.Q.1    Hong, Y.2    Chen, G.R.3
  • 30
    • 0037179020 scopus 로고    scopus 로고
    • Modification for synchronization of Rösseler and Chen chaotic systems
    • Li Z, Han C Z and Shi S J 2002 Modification for synchronization of Rösseler and Chen chaotic systems Phys. Lett. A 301 224-30
    • (2002) Phys. Lett. , vol.301 , Issue.3-4 , pp. 224-230
    • Li, Z.1    Han, C.Z.2    Shi, S.J.3
  • 32
    • 0035315587 scopus 로고    scopus 로고
    • Adaptive backstepping control of uncertain Lorenz system
    • Wang C and Ge S S 2001 Adaptive backstepping control of uncertain Lorenz system Int. J. Bifurcation Chaos 11 1115-9
    • (2001) Int. J. Bifurcation Chaos , vol.11 , Issue.4 , pp. 1115-1119
    • Wang, C.1    Ge, S.S.2
  • 35
    • 6344233654 scopus 로고    scopus 로고
    • Global synchronization criterion and adaptive synchronization for new chaotic system.
    • Elabbasy E M, Agiza H N and EI-Dessoky M M 2005 Global synchronization criterion and adaptive synchronization for new chaotic system. Chaos Solitons and Fractals 23 1299-309
    • (2005) Chaos Solitons and Fractals , vol.23 , Issue.4 , pp. 1299-1309
    • Elabbasy, E.M.1    Agiza, H.N.2    Ei-Dessoky, M.M.3
  • 36
    • 0038111994 scopus 로고    scopus 로고
    • Some simple global synchronization criterions for coupled time-varied chaotic systems.
    • Sun J T and Zhang Y P 2004 Some simple global synchronization criterions for coupled time-varied chaotic systems. Chaos Solitons and Fractals 19 93-8
    • (2004) Chaos Solitons and Fractals , vol.19 , Issue.1 , pp. 93-98
    • Sun, J.T.1    Zhang, Y.P.2
  • 37
    • 27144446106 scopus 로고    scopus 로고
    • Global synchronization of two parametrically excited systems using active control
    • Lei Y M, Xu W, Shen J W and Fang T 2006 Global synchronization of two parametrically excited systems using active control Chaos Solitons and Fractals 28 428-36
    • (2006) Chaos Solitons and Fractals , vol.28 , Issue.2 , pp. 428-436
    • Lei, Y.M.1    Xu, W.2    Shen, J.W.3    Fang, T.4
  • 38
    • 0037332811 scopus 로고    scopus 로고
    • Synchronizing chaotic systems using backstepping design
    • Tan X H, Zhang J Y and Yang Y R 2003 Synchronizing chaotic systems using backstepping design Chaos Solitons and Fractals 16 37-45
    • (2003) Chaos Solitons and Fractals , vol.16 , Issue.1 , pp. 37-45
    • Tan, X.H.1    Zhang, J.Y.2    Yang, Y.R.3
  • 39
    • 33646787125 scopus 로고    scopus 로고
    • Master-slave chaos synchronization criteria for the horizontal platform systems via linear state error feedback control
    • Wu X F, Cai J P and Wang M H 2006 Master-slave chaos synchronization criteria for the horizontal platform systems via linear state error feedback control J. Sound Vib. 295 3781-87
    • (2006) J. Sound Vib. , vol.295 , Issue.1-2 , pp. 378-3787
    • Wu, X.F.1    Cai, J.P.2    Wang, M.H.3
  • 40
    • 0037187961 scopus 로고    scopus 로고
    • Chaos, chaos control and synchronization of a gyrostat system
    • Ge Z M and Lin T N 2002 Chaos, chaos control and synchronization of a gyrostat system J. Sound Vib. 251 519-42
    • (2002) J. Sound Vib. , vol.251 , Issue.3 , pp. 519-542
    • Ge, Z.M.1    Lin, T.N.2
  • 43
    • 4243055985 scopus 로고    scopus 로고
    • Estimating the bounds for the Lorenz family of chaotic systems
    • Li D, Lu J A, Wu X Q and Chen G 2005 Estimating the bounds for the Lorenz family of chaotic systems Chaos Solitons and Fractals 23 529-34
    • (2005) Chaos Solitons and Fractals , vol.23 , Issue.2 , pp. 529-534
    • Li, D.1    Lu, J.A.2    Wu, X.Q.3    Chen, G.4
  • 44
    • 0035640984 scopus 로고    scopus 로고
    • Bound for attractors and the existence of homoclinic orbits in the Lorenz systems
    • Leonov G 2001 Bound for attractors and the existence of homoclinic orbits in the Lorenz systems J. Appl. Math. Mech. 65 19-32
    • (2001) J. Appl. Math. Mech. , vol.65 , Issue.1 , pp. 19-32
    • Leonov, G.1
  • 45
    • 33744722520 scopus 로고    scopus 로고
    • Globally attractive and positive invariant set of the Lorenz systems
    • Yu P and Liao X X 2006 Globally attractive and positive invariant set of the Lorenz systems Int. J. Bifurcation Chaos 16 757-64
    • (2006) Int. J. Bifurcation Chaos , vol.16 , Issue.3 , pp. 757-764
    • Yu, P.1    Liao, X.X.2
  • 46
    • 0242334262 scopus 로고    scopus 로고
    • Anti-control of chaos of two-degrees-of-freedom loudspeaker system and chaos synchronization of different order systems
    • Ge Z M and Leu W Y 2004 Anti-control of chaos of two-degrees-of-freedom loudspeaker system and chaos synchronization of different order systems Chaos Solitons and Fractals 20 503-21
    • (2004) Chaos Solitons and Fractals , vol.20 , Issue.3 , pp. 503-521
    • Ge, Z.M.1    Leu, W.Y.2
  • 47
    • 1642391628 scopus 로고    scopus 로고
    • Chaos synchronization and parameter identification for loudspeaker systems
    • Ge Z M and Leu W Y 2004 Chaos synchronization and parameter identification for loudspeaker systems Chaos Solitons and Fractals 21 1231-47
    • (2004) Chaos Solitons and Fractals , vol.21 , Issue.5 , pp. 1231-1247
    • Ge, Z.M.1    Leu, W.Y.2


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