메뉴 건너뛰기




Volumn 66, Issue 1-2, 2011, Pages 67-76

Adaptive bidirectionally coupled synchronization of chaotic systems with unknown parameters

Author keywords

Adaptive control; Bidirectionally coupled synchronization; Lasalle invariance principle

Indexed keywords

ADAPTIVE CONTROL; ADAPTIVE SCHEME; CHAOS SYNCHRONIZATION; CONTROL SCHEMES; COUPLED CHAOTIC SYSTEM; LASALLE INVARIANCE PRINCIPLE; UNKNOWN PARAMETERS;

EID: 80053568931     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-010-9911-3     Document Type: Article
Times cited : (15)

References (28)
  • 1
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • 1038263 10.1103/PhysRevLett.64.821
    • L. Pecora T. Carroll 1990 Synchronization in chaotic systems Phys. Rev. Lett. 64 821 824 1038263 10.1103/PhysRevLett.64.821
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 821-824
    • Pecora, L.1    Carroll, T.2
  • 2
    • 0032121998 scopus 로고    scopus 로고
    • Sliding mode controllers for uncertain systems with input nonlinearities
    • K. Hsu 1998 Sliding mode controllers for uncertain systems with input nonlinearity J. Guid. Control Dyn. 21 666 669 10.2514/2.4289 (Pubitemid 128563026)
    • (1998) Journal of Guidance, Control, and Dynamics , vol.21 , Issue.4 , pp. 666-669
    • Hsu, K.-C.1
  • 3
    • 0347355134 scopus 로고    scopus 로고
    • A new adaptive variable structure control for chaotic synchronization and secure communication
    • 2029370 1050.93036 10.1016/j.chaos.2003.10.026
    • C. Wang J. Su 2004 A new adaptive variable structure control for chaotic synchronization and secure communication Chaos Solitons Fractals 20 967 977 2029370 1050.93036 10.1016/j.chaos.2003.10.026
    • (2004) Chaos Solitons Fractals , vol.20 , pp. 967-977
    • Wang, C.1    Su, J.2
  • 4
    • 0031258548 scopus 로고    scopus 로고
    • Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal
    • 10.1109/81.633891
    • G. Grassi S. Mascolo 1997 Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal IEEE Trans. Circuits Syst. I 44 1011 1013 10.1109/81.633891
    • (1997) IEEE Trans. Circuits Syst. i , vol.44 , pp. 1011-1013
    • Grassi, G.1    Mascolo, S.2
  • 5
    • 31444442630 scopus 로고    scopus 로고
    • Observer-based control design for three well-known chaotic systems
    • DOI 10.1016/j.chaos.2005.08.042, PII S096007790500665X
    • S. Mahboobi M. Shahrokhi H. Pishkenari 2006 Observer-based control design for three well-known chaotic systems Chaos Solitons Fractals 29 381 392 2211475 1147.93390 10.1016/j.chaos.2005.08.042 (Pubitemid 43152205)
    • (2006) Chaos, Solitons and Fractals , vol.29 , Issue.2 , pp. 381-392
    • Mahboobi, S.H.1    Shahrokhi, M.2    Pishkenari, H.N.3
  • 6
    • 41349103836 scopus 로고    scopus 로고
    • Synchronizing chaotic dynamics with uncertainties based on a sliding mode control design
    • 65046210046215
    • T. Yang H. Shao 2002 Synchronizing chaotic dynamics with uncertainties based on a sliding mode control design Phys. Rev. E 65 046210-046215
    • (2002) Phys. Rev. e
    • Yang, T.1    Shao, H.2
  • 7
    • 24944517386 scopus 로고    scopus 로고
    • Synchronization of Genesio chaotic system via backstepping approach
    • DOI 10.1016/j.chaos.2005.05.001, PII S0960077905004789
    • J. Park 2006 Synchronization of Genesio chaotic system via backstepping approach Chaos Solitons Fractals 27 1369 1375 2164861 1091.93028 10.1016/j.chaos.2005.05.001 (Pubitemid 41329830)
    • (2006) Chaos, Solitons and Fractals , vol.27 , Issue.5 , pp. 1369-1375
    • Park, J.H.1
  • 8
    • 0038291749 scopus 로고    scopus 로고
    • Sliding mode control design for uncertain time delay systems subjected to a class of nonlinear inputs
    • 1023.93015 10.1002/rnc.735
    • J. Yan 2003 Sliding mode control design for uncertain time delay systems subjected to a class of nonlinear inputs Int. J. Robust Nonlinear Control 13 519 532 1023.93015 10.1002/rnc.735
    • (2003) Int. J. Robust Nonlinear Control , vol.13 , pp. 519-532
    • Yan, J.1
  • 9
    • 0037411672 scopus 로고    scopus 로고
    • Controlling and synchronizing chaotic Genesio system via nonlinear feedback control
    • 1968020 1044.93026 10.1016/S0960-0779(02)00487-3
    • M. Chen Z. Han 2003 Controlling and synchronizing chaotic Genesio system via nonlinear feedback control Chaos Solitons Fractals 17 709 716 1968020 1044.93026 10.1016/S0960-0779(02)00487-3
    • (2003) Chaos Solitons Fractals , vol.17 , pp. 709-716
    • Chen, M.1    Han, Z.2
  • 10
    • 50249090982 scopus 로고    scopus 로고
    • Robust stability of impulsive synchronization in hyperchaotic systems
    • 2449756 10.1016/j.cnsns.2007.08.004
    • H. Mohammad D. Mahsa 2009 Robust stability of impulsive synchronization in hyperchaotic systems Commun. Nonlinear Sci. Numer. Simul. 14 880 891 2449756 10.1016/j.cnsns.2007.08.004
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , pp. 880-891
    • Mohammad, H.1    Mahsa, D.2
  • 11
    • 56049096915 scopus 로고    scopus 로고
    • The impulsive control synchronization of the drive-response complex system
    • 10.1016/j.physleta.2008.10.070
    • Y. Zhao Y. Yang 2008 The impulsive control synchronization of the drive-response complex system Phys. Lett. A 37 7165 7171 10.1016/j.physleta. 2008.10.070
    • (2008) Phys. Lett. A , vol.37 , pp. 7165-7171
    • Zhao, Y.1    Yang, Y.2
  • 12
    • 4243103718 scopus 로고    scopus 로고
    • Adaptive feedback synchronization of a unified chaotic system
    • 1209.93119 10.1016/j.physleta.2004.07.024
    • J. Lu X. Wu X. Han J. Lü 2004 Adaptive feedback synchronization of a unified chaotic system Phys. Lett. A 329 327 333 1209.93119 10.1016/j.physleta.2004.07.024
    • (2004) Phys. Lett. A , vol.329 , pp. 327-333
    • Lu, J.1    Wu, X.2    Han, X.3    Lü, J.4
  • 13
    • 0036722172 scopus 로고    scopus 로고
    • Chaos synchronization between linearly coupled chaotic systems
    • DOI 10.1016/S0960-0779(02)00005-X, PII S096007790200005X
    • J. Lü T. Zhou S. Zhang 2002 Chaos synchronization between linearly coupled chaotic systems Chaos Solitons Fractals 14 529 541 1906915 1067.37043 10.1016/S0960-0779(02)00005-X (Pubitemid 34222485)
    • (2002) Chaos, Solitons and Fractals , vol.14 , Issue.4 , pp. 529-541
    • Lu, J.1    Zhou, T.2    Zhang, S.3
  • 14
    • 0036722179 scopus 로고    scopus 로고
    • Synchronization of an uncertain unified chaotic system via adaptive control
    • PII S0960077902000061
    • Sh. Chen J. Lü 2002 Synchronization of an uncertain unified chaotic system via adaptive control Chaos Solitons Fractals 14 643 647 1005.93020 10.1016/S0960-0779(02)00006-1 (Pubitemid 34222496)
    • (2002) Chaos, Solitons and Fractals , vol.14 , Issue.4 , pp. 643-647
    • Chen, S.1    Lu, J.2
  • 15
    • 41649098756 scopus 로고    scopus 로고
    • General methods for modified projective synchronization of hyperchaotic systems with known or unknown parameters
    • 2398385 05945320 10.1016/j.physleta.2007.10.043
    • Y. Tang J. Fang 2008 General methods for modified projective synchronization of hyperchaotic systems with known or unknown parameters Phys. Lett. A 372 1816 1826 2398385 05945320 10.1016/j.physleta.2007.10.043
    • (2008) Phys. Lett. A , vol.372 , pp. 1816-1826
    • Tang, Y.1    Fang, J.2
  • 16
    • 0037043301 scopus 로고    scopus 로고
    • Parameters identification and synchronization of chaotic systems based on adaptive control
    • 1916475 0996.93016 10.1016/S0375-9601(02)00724-7
    • Sh. Chen J. Lü 2002 Parameters identification and synchronization of chaotic systems based on adaptive control Phys. Lett. A 299 353 358 1916475 0996.93016 10.1016/S0375-9601(02)00724-7
    • (2002) Phys. Lett. A , vol.299 , pp. 353-358
    • Chen, Sh.1    Lü, J.2
  • 17
    • 64949170150 scopus 로고    scopus 로고
    • Synchronization of generalised linearly bidirectionally coupled unified chaotic system
    • 1197.37045 10.1016/j.chaos.2007.08.039
    • A. Tarai S. Poria P. Chatterjee 2009 Synchronization of generalised linearly bidirectionally coupled unified chaotic system Chaos Solitons Fractals 40 885 892 1197.37045 10.1016/j.chaos.2007.08.039
    • (2009) Chaos Solitons Fractals , vol.40 , pp. 885-892
    • Tarai, A.1    Poria, S.2    Chatterjee, P.3
  • 18
    • 33745829821 scopus 로고    scopus 로고
    • Linearly and nonlinearly bidirectionally coupled synchronization of hyperchaotic systems
    • DOI 10.1016/j.chaos.2005.09.056, PII S0960077905009240
    • J. Zhou J. Lu X. Wu 2007 Linearly and nonlinearly bidirectionally coupled synchronization of hyperchaotic systems Chaos Solitons Fractals 31 230 235 2263283 1140.37325 10.1016/j.chaos.2005.09.056 (Pubitemid 44038560)
    • (2007) Chaos, Solitons and Fractals , vol.31 , Issue.1 , pp. 230-235
    • Zhou, J.1    Lu, J.-a.2    Wu, X.3
  • 19
    • 67349121704 scopus 로고    scopus 로고
    • Estimation of unknown parameters and adaptive synchronization of hyperchaotic systems
    • 2537581 10.1016/j.cnsns.2009.03.002
    • F. Austin W. Sun X. Lu 2009 Estimation of unknown parameters and adaptive synchronization of hyperchaotic systems Commun. Nonlinear Sci. Numer. Simul. 14 4264 4272 2537581 10.1016/j.cnsns.2009.03.002
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , pp. 4264-4272
    • Austin, F.1    Sun, W.2    Lu, X.3
  • 20
    • 60649115265 scopus 로고    scopus 로고
    • A simple adaptive-feedback controller for chaos synchronization
    • 1197.93099 10.1016/j.chaos.2007.01.096
    • W. Guo S. Chen H. Zhou 2009 A simple adaptive-feedback controller for chaos synchronization Chaos Solitons Fractals 39 316 321 1197.93099 10.1016/j.chaos.2007.01.096
    • (2009) Chaos Solitons Fractals , vol.39 , pp. 316-321
    • Guo, W.1    Chen, S.2    Zhou, H.3
  • 21
    • 33645149365 scopus 로고    scopus 로고
    • Generating hyperchaotic Lü attractor via state feedback control
    • 10.1016/j.physa.2005.09.039
    • A. Chen J. Lu J. Lü S. Yu 2006 Generating hyperchaotic Lü attractor via state feedback control Physica A 364 103 110 10.1016/j.physa.2005. 09.039
    • (2006) Physica A , vol.364 , pp. 103-110
    • Chen, A.1    Lu, J.2    Lü, J.3    Yu, S.4
  • 22
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flows
    • 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2
    • E. Lorenz 1963 Deterministic nonperiodic flows J. Atmos. Sci. 20 130 141 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.1
  • 23
    • 47949103726 scopus 로고    scopus 로고
    • A simple adaptive controller for chaos and hyperchaos synchronization
    • 10.1016/j.physleta.2008.07.016
    • R. Guo 2008 A simple adaptive controller for chaos and hyperchaos synchronization Phys. Lett. A 372 5593 5597 10.1016/j.physleta.2008.07.016
    • (2008) Phys. Lett. A , vol.372 , pp. 5593-5597
    • Guo, R.1
  • 25
    • 41349088998 scopus 로고    scopus 로고
    • Simple adaptive-feedback controller for identical chaos synchronization
    • 7103720314
    • D. Huang 2005 Simple adaptive-feedback controller for identical chaos synchronization Phys. Rev. E 71 037203-1-4
    • (2005) Phys. Rev. e
    • Huang, D.1
  • 26
    • 0019145350 scopus 로고
    • Chaos in the Rikitake two-disc dynamo system
    • 10.1016/0012-821X(80)90224-1
    • K. Ito 1980 Chaos in the Rikitake two-disc dynamo system Earth Planet. Sci. Lett. 51 451 456 10.1016/0012-821X(80)90224-1
    • (1980) Earth Planet. Sci. Lett. , vol.51 , pp. 451-456
    • Ito, K.1
  • 27
    • 10944251999 scopus 로고    scopus 로고
    • Design and analysis of multiscroll chaotic attractors from saturated function series
    • DOI 10.1109/TCSI.2004.838151
    • J. Lü G. Chen X. Yu H. Leung 2004 Design and analysis of multi-scroll chaotic attractors from saturated function series IEEE Trans. Circuits Syst. I 51 12 2476 2490 2104664 10.1109/TCSI.2004.838151 (Pubitemid 40009469)
    • (2004) IEEE Transactions on Circuits and Systems I: Regular Papers , vol.51 , Issue.12 , pp. 2476-2490
    • Lu, J.1    Chen, G.2    Yu, X.3    Leung, H.4
  • 28
    • 34748841424 scopus 로고    scopus 로고
    • Theoretical design and circuit implementation of multidirectional multi-torus chaotic attractors
    • DOI 10.1109/TCSI.2007.904651
    • S. Yu J. Lü G. Chen 2007 Theoretical design and circuit implementation of multi-directional multi-torus chaotic attractors IEEE Trans. Circuits Syst. I 54 9 2087 2098 2373952 10.1109/TCSI.2007.904651 (Pubitemid 47484657)
    • (2007) IEEE Transactions on Circuits and Systems I: Regular Papers , vol.54 , Issue.9 , pp. 2087-2098
    • Yu, S.1    Lu, J.2    Chen, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.