메뉴 건너뛰기




Volumn 69, Issue 1-2, 2012, Pages 35-55

Chaotic synchronization and anti-synchronization for a novel class of multiple chaotic systems via a sliding mode control scheme

Author keywords

Antisynchronization; Chaotic system; Sliding mode; Synchronization

Indexed keywords

ANTI-SYNCHRONIZATION; CHAOTIC SYNCHRONIZATION; CLOSED-LOOP; CONTROL SCHEMES; DIFFERENT STRUCTURE; ERROR SYSTEMS; MULTIPLE CHAOTIC SYSTEMS; PROPORTIONAL INTEGRAL; SATURATION FUNCTION; SLIDING MODES; SLIDING MOTIONS; SUFFICIENT CONDITIONS; SYSTEM DIMENSION;

EID: 84861742627     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-011-0244-7     Document Type: Article
Times cited : (110)

References (31)
  • 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
    • 33745216051 scopus 로고    scopus 로고
    • Complex network from pseudoperiodic time series: Topology vs dynamics
    • 10.1103/PhysRevLett.96.238701
    • J. Zhang M. Small 2006 Complex network from pseudoperiodic time series: Topology vs dynamics Phys. Rev. Lett. 96 238701 10.1103/PhysRevLett.96.238701
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 238701
    • Zhang, J.1    Small, M.2
  • 3
    • 63849294929 scopus 로고    scopus 로고
    • Onset of synchronization in weighted scale-free networks
    • 10.1063/1.3087420
    • W.X. Wang H. Liang Y.C. Lai, et al. 2009 Onset of synchronization in weighted scale-free networks Chaos 19 013134 10.1063/1.3087420
    • (2009) Chaos , vol.19 , pp. 013134
    • Wang, W.X.1    Liang, H.2    Lai, Y.C.3
  • 4
    • 78649231570 scopus 로고    scopus 로고
    • Ordering chaos and synchronization transitions by chemical delay and coupling on scale-free neuronal networks
    • 10.1016/j.chaos.2010.10.002
    • Y.B. Gong Y.H. Xie X. Lin, et al. 2010 Ordering chaos and synchronization transitions by chemical delay and coupling on scale-free neuronal networks Chaos Solitons Fractals 43 96 103 10.1016/j.chaos.2010.10.002
    • (2010) Chaos Solitons Fractals , vol.43 , pp. 96-103
    • Gong, Y.B.1    Xie, Y.H.2    Lin, X.3
  • 5
    • 58149499440 scopus 로고    scopus 로고
    • Superfamily phenomena of time series induced networks
    • 2470872 1202.37118 10.1073/pnas.0806082105
    • X. Xu J. Zhang M. Small 2008 Superfamily phenomena of time series induced networks Proc. Natl. Acad. Sci. USA 105 19601 19605 2470872 1202.37118 10.1073/pnas.0806082105
    • (2008) Proc. Natl. Acad. Sci. USA , vol.105 , pp. 19601-19605
    • Xu, X.1    Zhang, J.2    Small, M.3
  • 6
    • 32444439487 scopus 로고    scopus 로고
    • A radial basis function sliding mode controller for chaotic Lorenz system
    • DOI 10.1016/j.physleta.2005.10.101, PII S0375960105016968
    • H. Guo S.F. Lin J.H. Liu 2006 A radial basis function sliding mode controller for chaotic Lorenz system Phys. Lett. A 351 257 261 1234.37055 10.1016/j.physleta.2005.10.101 (Pubitemid 43227302)
    • (2006) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.351 , Issue.4-5 , pp. 257-261
    • Guo, H.1    Lin, S.2    Liu, J.3
  • 7
    • 36049001757 scopus 로고    scopus 로고
    • Chaos synchronization of two uncertain chaotic nonlinear gyros using fuzzy sliding mode control
    • DOI 10.1016/j.ymssp.2007.08.007, PII S0888327007001550
    • H.T. Yau 2008 Chaos synchronization of two uncertain chaotic nonlinear gyros using fuzzy sliding mode control Mech. Syst. Signal Process. 22 408 418 10.1016/j.ymssp.2007.08.007 (Pubitemid 350102770)
    • (2008) Mechanical Systems and Signal Processing , vol.22 , Issue.2 , pp. 408-418
    • Yau, H.-T.1
  • 8
    • 60849138778 scopus 로고    scopus 로고
    • Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control
    • 2483884 1221.93091 10.1016/j.cnsns.2009.01.010
    • X.Y. Wang J.M. Song 2009 Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control Commun. Nonlinear Sci. Numer. Simul. 14 3351 3357 2483884 1221.93091 10.1016/j.cnsns.2009.01.010
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , pp. 3351-3357
    • Wang, X.Y.1    Song, J.M.2
  • 9
    • 58749097632 scopus 로고    scopus 로고
    • Control of stochastic chaos using sliding mode method
    • 2490178 1162.65062 10.1016/j.cam.2008.07.032
    • H. Salarieh A. Alasty 2009 Control of stochastic chaos using sliding mode method J. Comput. Appl. Math. 225 135 145 2490178 1162.65062 10.1016/j.cam.2008.07.032
    • (2009) J. Comput. Appl. Math. , vol.225 , pp. 135-145
    • Salarieh, H.1    Alasty, A.2
  • 10
    • 79955971573 scopus 로고    scopus 로고
    • Robust sliding-mode backstepping design for synchronization control of cross-strict feedback hyperchaotic systems with unmatched uncertainties
    • 2802696 1219.93026 10.1016/j.cnsns.2011.02.031
    • H.Y. Li Y.A. Hu 2011 Robust sliding-mode backstepping design for synchronization control of cross-strict feedback hyperchaotic systems with unmatched uncertainties Commun. Nonlinear Sci. Numer. Simul. 16 3904 3913 2802696 1219.93026 10.1016/j.cnsns.2011.02.031
    • (2011) Commun. Nonlinear Sci. Numer. Simul. , vol.16 , pp. 3904-3913
    • Li, H.Y.1    Hu, Y.A.2
  • 11
    • 79955877409 scopus 로고    scopus 로고
    • No-chattering sliding mode control chaos in Hindmarsh-Rose neurons with uncertain parameters
    • 2799841 1222.37106 10.1016/j.camwa.2011.04.010
    • D.Y. Chen W.L. Zhao X.Y. Ma, et al. 2011 No-chattering sliding mode control chaos in Hindmarsh-Rose neurons with uncertain parameters Comput. Math. Appl. 61 3161 3171 2799841 1222.37106 10.1016/j.camwa.2011.04.010
    • (2011) Comput. Math. Appl. , vol.61 , pp. 3161-3171
    • Chen, D.Y.1    Zhao, W.L.2    Ma, X.Y.3
  • 12
    • 18844372300 scopus 로고    scopus 로고
    • Controlling chaos and synchronization for new chaotic system using linear feedback control
    • DOI 10.1016/j.chaos.2005.01.047, PII S0960077905001372
    • M.T. Yessen 2005 Controlling chaos and synchronization for new chaotic systems using feedback control Chaos Solitons Fractals 26 913 920 2145427 10.1016/j.chaos.2005.01.047 (Pubitemid 40682522)
    • (2005) Chaos, Solitons and Fractals , vol.26 , Issue.3 , pp. 913-920
    • Yassen, M.T.1
  • 13
    • 79751528328 scopus 로고    scopus 로고
    • Observer based synchronization scheme for a class of chaotic systems using contraction theory
    • 2769523 10.1007/s11071-010-9813-4
    • B.B. Sharma I.N. Kar 2011 Observer based synchronization scheme for a class of chaotic systems using contraction theory Nonlinear Dyn. 63 429 445 2769523 10.1007/s11071-010-9813-4
    • (2011) Nonlinear Dyn. , vol.63 , pp. 429-445
    • Sharma, B.B.1    Kar, I.N.2
  • 14
    • 40149087313 scopus 로고    scopus 로고
    • Control and synchronization of chaos in RCL-shunted Josephson junction using backstepping design
    • 10.1016/j.physc.2007.11.012
    • U.E. Vincent A. Ucar J.A. Laoyea, et al. 2008 Control and synchronization of chaos in RCL-shunted Josephson junction using backstepping design Physica C 468 374 382 10.1016/j.physc.2007.11.012
    • (2008) Physica C , vol.468 , pp. 374-382
    • Vincent, U.E.1    Ucar, A.2    Laoyea, J.A.3
  • 16
    • 34147092044 scopus 로고    scopus 로고
    • Chaos and adaptive control in two prey, one predator system with nonlinear feedback
    • DOI 10.1016/j.chaos.2006.03.101, PII S0960077906002530
    • A. El-Gohary A.S. Al-Ruzaiza 2007 Chaos and adaptive control in two prey, one predator system with nonlinear feedback Chaos Solitons Fractals 34 443 453 2327419 1127.92040 10.1016/j.chaos.2006.03.101 (Pubitemid 46561280)
    • (2007) Chaos, Solitons and Fractals , vol.34 , Issue.2 , pp. 443-453
    • El-Gohary, A.1    Al-Ruzaiza, A.S.2
  • 18
    • 55949096546 scopus 로고    scopus 로고
    • Adaptive chaos synchronization in Chua's systems with noisy parameters
    • 2477526 1166.34029 10.1016/j.matcom.2007.11.007
    • H. Salarieh A. Alasty 2008 Adaptive chaos synchronization in Chua's systems with noisy parameters Math. Comput. Simul. 79 233 241 2477526 1166.34029 10.1016/j.matcom.2007.11.007
    • (2008) Math. Comput. Simul. , vol.79 , pp. 233-241
    • Salarieh, H.1    Alasty, A.2
  • 19
    • 67449126791 scopus 로고    scopus 로고
    • Adaptive control of spatiotemporal chaos in coupled map lattices
    • 2537776 1198.93113 10.1016/j.chaos.2008.07.012
    • Z. Rahmani M.R. Jahed Motlagh 2009 Adaptive control of spatiotemporal chaos in coupled map lattices Chaos Solitons Fractals 41 1697 1707 2537776 1198.93113 10.1016/j.chaos.2008.07.012
    • (2009) Chaos Solitons Fractals , vol.41 , pp. 1697-1707
    • Rahmani, Z.1    Jahed Motlagh, M.R.2
  • 20
    • 77955918760 scopus 로고    scopus 로고
    • Adaptive fuzzy control for a class of chaotic systems with nonaffine inputs
    • 2679197 10.1016/j.cnsns.2010.03.015
    • J. Wen C.S. Jiang 2011 Adaptive fuzzy control for a class of chaotic systems with nonaffine inputs Commun. Nonlinear Sci. Numer. Simul. 16 475 492 2679197 10.1016/j.cnsns.2010.03.015
    • (2011) Commun. Nonlinear Sci. Numer. Simul. , vol.16 , pp. 475-492
    • Wen, J.1    Jiang, C.S.2
  • 21
    • 79953270761 scopus 로고    scopus 로고
    • Robust decentralized direct adaptive output feedback fuzzy control for a class of large-sale nonaffine nonlinear systems
    • 2781793 1232.93006 10.1016/j.ins.2010.11.034
    • Y.S. Huang M. Wu 2011 Robust decentralized direct adaptive output feedback fuzzy control for a class of large-sale nonaffine nonlinear systems Inf. Sci. 181 2392 2404 2781793 1232.93006 10.1016/j.ins.2010.11.034
    • (2011) Inf. Sci. , vol.181 , pp. 2392-2404
    • Huang, Y.S.1    Wu, M.2
  • 23
    • 70350407131 scopus 로고    scopus 로고
    • Adaptive anti-synchronization of two identical and different hyperchaotic systems with uncertain parameters
    • 2557012 10.1016/j.cnsns.2009.05.037
    • M.M. Al-Sawalha M.S.M. Noorani 2011 Adaptive anti-synchronization of two identical and different hyperchaotic systems with uncertain parameters Commun. Nonlinear Sci. Numer. Simul. 15 1036 1047 2557012 10.1016/j.cnsns.2009.05.037
    • (2011) Commun. Nonlinear Sci. Numer. Simul. , vol.15 , pp. 1036-1047
    • Al-Sawalha, M.M.1    Noorani, M.S.M.2
  • 24
    • 78651458664 scopus 로고    scopus 로고
    • Chaos synchronization between two different fractional-order hyperchaotic systems
    • 2765214 1221.37220 10.1016/j.cnsns.2010.09.016
    • L. Pan W.N. Zhou L. Zhou, et al. 2011 Chaos synchronization between two different fractional-order hyperchaotic systems Commun. Nonlinear Sci. Numer. Simul. 16 2628 2640 2765214 1221.37220 10.1016/j.cnsns.2010.09.016
    • (2011) Commun. Nonlinear Sci. Numer. Simul. , vol.16 , pp. 2628-2640
    • Pan, L.1    Zhou, W.N.2    Zhou, L.3
  • 25
    • 77954864969 scopus 로고    scopus 로고
    • Global anti-synchronization of master-slave chaotic modified Chua's circuits coupled by linear feedback control
    • 2658508 1201.94143 10.1016/j.mcm.2010.03.056
    • Y. Chen M.Y. Li Z.F. Cheng 2010 Global anti-synchronization of master-slave chaotic modified Chua's circuits coupled by linear feedback control Math. Comput. Model. 52 567 573 2658508 1201.94143 10.1016/j.mcm.2010.03.056
    • (2010) Math. Comput. Model. , vol.52 , pp. 567-573
    • Chen, Y.1    Li, M.Y.2    Cheng, Z.F.3
  • 26
    • 77954093305 scopus 로고    scopus 로고
    • Chaos anti-synchronization between different hyperchaotic systems with uncertainty
    • 2659914 10.1142/S0217979210055664
    • Q. Zheng X.P. Zhang Z.Z. Ren 2011 Chaos anti-synchronization between different hyperchaotic systems with uncertainty Int. J. Mod. Phys. B 24 2163 2173 2659914 10.1142/S0217979210055664
    • (2011) Int. J. Mod. Phys. B , vol.24 , pp. 2163-2173
    • Zheng, Q.1    Zhang, X.P.2    Ren, Z.Z.3
  • 27
    • 56749134312 scopus 로고    scopus 로고
    • Synchronization and anti-synchronization of chaos in an extended Bonhöffer-van der Pol oscillator using active control
    • 10.1016/j.jsv.2008.05.036
    • A.N. Njah U.E. Vincent 2009 Synchronization and anti-synchronization of chaos in an extended Bonhöffer-van der Pol oscillator using active control J. Sound Vib. 319 41 49 10.1016/j.jsv.2008.05.036
    • (2009) J. Sound Vib. , vol.319 , pp. 41-49
    • Njah, A.N.1    Vincent, U.E.2
  • 28
    • 39749134460 scopus 로고    scopus 로고
    • Anti-synchronization of uncertain unified chaotic systems with dead-zone nonlinearity
    • DOI 10.1016/j.na.2007.02.009, PII S0362546X07001423
    • T.Y. Chianga J.S. Linb T.L. Liaob, et al. 2008 Anti-synchronization of uncertain unified chaotic systems with dead-zone nonlinearity Nonlinear Anal., Theory Methods Appl. 68 2629 2637 10.1016/j.na.2007.02.009 (Pubitemid 351295944)
    • (2008) Nonlinear Analysis, Theory, Methods and Applications , vol.68 , Issue.9 , pp. 2629-2637
    • Chiang, T.-Y.1    Lin, J.-S.2    Liao, T.-L.3    Yan, J.-J.4
  • 29
    • 67650450881 scopus 로고    scopus 로고
    • Chaos synchronization of a new 3D chaotic system
    • 1198.93020 10.1016/j.chaos.2009.03.092
    • Y. Wu X.B. Zhou J. Chen, et al. 2009 Chaos synchronization of a new 3D chaotic system Chaos Solitons Fractals 42 1812 1819 1198.93020 10.1016/j.chaos.2009.03.092
    • (2009) Chaos Solitons Fractals , vol.42 , pp. 1812-1819
    • Wu, Y.1    Zhou, X.B.2    Chen, J.3
  • 30
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2
    • E.N. Lorenz 1963 Deterministic nonperiodic flow 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.N.1
  • 31
    • 33947540072 scopus 로고    scopus 로고
    • Chaos switch-synchronization for a class of 4-D chaotic systems
    • (in Chinese)
    • L.Y. Zheng J.C. Sheng L.C. Sheng 2007 Chaos switch-synchronization for a class of 4-D chaotic systems Acta Phys. Sin. 56 707 712 (in Chinese)
    • (2007) Acta Phys. Sin. , vol.56 , pp. 707-712
    • Zheng, L.Y.1    Sheng, J.C.2    Sheng, L.C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.