메뉴 건너뛰기




Volumn 63, Issue 3, 2011, Pages 447-454

Adaptive synchronization of Lü hyperchaotic system with uncertain parameters based on single-input controller

Author keywords

Adaptive synchronization; L hyperchaotic system; Lyapunov theorem of stability; Single input controller

Indexed keywords

ADAPTIVE SYNCHRONIZATIONS; ADAPTIVE UPDATE; CHAOS SOLITONS; CHAOTIC SYNCHRONIZATION; CONTROL INPUTS; HYPER-CHAOTIC SYSTEMS; LYAPUNOV THEOREM OF STABILITY; LYAPUNOV THEOREMS; NUMERICAL STUDIES; SINGLE-INPUT CONTROLLER; UNCERTAIN PARAMETERS;

EID: 79751526736     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-010-9814-3     Document Type: Article
Times cited : (56)

References (34)
  • 1
    • 33745913953 scopus 로고    scopus 로고
    • Adaptive synchronization of a hyperchaotic system with uncertain parameter
    • DOI 10.1016/j.chaos.2005.09.047, PII S0960077905008477
    • E.M. Elabbasy H.N. Agiza M.M. El-Dessoky 2006 Adaptive synchronization of a hyperchaotic system with uncertain parameter Chaos Solitons Fractals 30 1133 1142 1142.37325 10.1016/j.chaos.2005.09.047 2249221 (Pubitemid 44041055)
    • (2006) Chaos, Solitons and Fractals , vol.30 , Issue.5 , pp. 1133-1142
    • Elabbasy, E.M.1    Agiza, H.N.2    El-Dessoky, M.M.3
  • 2
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • 10.1103/PhysRevLett.64.821 1038263
    • L.M. Pecora T.L. Carroll 1990 Synchronization in chaotic systems Phys. Rev. Lett. 64 821 824 10.1103/PhysRevLett.64.821 1038263
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 3
    • 4243489552 scopus 로고
    • Controlling chaos
    • 0964.37501 10.1103/PhysRevLett.64.1196 1041523
    • E. Ott C. Grebogi J.A. Yorke 1990 Controlling chaos Phys. Rev. Lett. 64 1196 11999 0964.37501 10.1103/PhysRevLett.64.1196 1041523
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 1196-11999
    • Ott, E.1    Grebogi, C.2    Yorke, J.A.3
  • 4
    • 68249155204 scopus 로고    scopus 로고
    • Anti-synchronization of Liu system and Lorzen system with known or unknown parameters
    • 1176.70037 10.1007/s11071-008-9452-1 2520221
    • Z.-L. Wang X.-R. Shi 2009 Anti-synchronization of Liu system and Lorzen system with known or unknown parameters Nonlinear Dyn. 57 425 430 1176.70037 10.1007/s11071-008-9452-1 2520221
    • (2009) Nonlinear Dyn. , vol.57 , pp. 425-430
    • Wang, Z.-L.1    Shi, X.-R.2
  • 5
    • 77949272770 scopus 로고    scopus 로고
    • Projective synchronization of hyperchaotic Lü system and Liu system
    • 1183.70055 10.1007/s11071-009-9552-6
    • Z.-L. Wang 2010 Projective synchronization of hyperchaotic Lü system and Liu system Nonlinear Dyn. 59 455 462 1183.70055 10.1007/s11071-009-9552-6
    • (2010) Nonlinear Dyn. , vol.59 , pp. 455-462
    • Wang, Z.-L.1
  • 6
    • 26044470874 scopus 로고    scopus 로고
    • Controlling hyperchaos in the new hyperchaotic Chen system
    • DOI 10.1016/j.amc.2004.10.016, PII S0096300304006988
    • Z. Yan 2005 Controlling hyperchaos in the new hyperchaotic Chen system Appl. Math. Comput. 168 1239 1250 1160.93384 10.1016/j.amc.2004.10.016 2171776 (Pubitemid 41405675)
    • (2005) Applied Mathematics and Computation , vol.168 , Issue.2 , pp. 1239-1250
    • Yan, Z.1
  • 7
    • 40749128948 scopus 로고    scopus 로고
    • Synchronization hyperchaos of hyperchaotic systems
    • DOI 10.1016/j.chaos.2006.09.045, PII S0960077906008861
    • M.T. Yassen 2008 Synchronization hyperchaos of hyperchaotic systems Chaos Solitons Fractals 37 465 475 10.1016/j.chaos.2006.09.045 2402639 (Pubitemid 351380474)
    • (2008) Chaos, Solitons and Fractals , vol.37 , Issue.2 , pp. 465-475
    • Yassen, M.T.1
  • 8
    • 40649086163 scopus 로고    scopus 로고
    • Synchronization of identical and non-identical 4-D chaotic systems using active control
    • DOI 10.1016/j.chaos.2006.10.005, PII S0960077906009660
    • U.E. Vincent 2008 Synchronization of identical and non-identical 4-D chaotic systems using active control Chaos Solitons Fractals 37 1065 1075 1153.37359 10.1016/j.chaos.2006.10.005 2411534 (Pubitemid 351375397)
    • (2008) Chaos, Solitons and Fractals , vol.37 , Issue.4 , pp. 1065-1075
    • Vincent, U.E.1
  • 9
    • 61749100729 scopus 로고    scopus 로고
    • A new hyper-chaotic system and its synchronization
    • 1163.65337 10.1016/j.nonrwa.2008.03.015 2508418
    • C.H. Chen L.J. Sheu H.K. Chen J.H. Chen H.C. Wang Y.C. Chao Y.K. Lin 2009 A new hyper-chaotic system and its synchronization Nonlinear Anal. RWA 10 2088 2096 1163.65337 10.1016/j.nonrwa.2008.03.015 2508418
    • (2009) Nonlinear Anal. RWA , vol.10 , pp. 2088-2096
    • Chen, C.H.1    Sheu, L.J.2    Chen, H.K.3    Chen, J.H.4    Wang, H.C.5    Chao, Y.C.6    Lin, Y.K.7
  • 10
    • 18844368833 scopus 로고    scopus 로고
    • Adaptive synchronization of hyperchaotic Chen system with uncertain parameters
    • DOI 10.1016/j.chaos.2005.02.002, PII S0960077905001736
    • J.H. Park 2005 Adaptive synchronization of hyperchaotic Chen system with uncertain parameters Chaos Solitons Fractals 26 959 964 1093.93537 10.1016/j.chaos.2005.02.002 2145432 (Pubitemid 40682527)
    • (2005) Chaos, Solitons and Fractals , vol.26 , Issue.3 , pp. 959-964
    • Park, J.H.1
  • 11
    • 33846336362 scopus 로고    scopus 로고
    • Adaptive control and synchronization of a new hyperchaotic system with unknown parameters
    • 1197.34107 10.1016/j.physleta.2006.10.044
    • Q. Jia 2007 Adaptive control and synchronization of a new hyperchaotic system with unknown parameters Phys. Lett. A 362 424 429 1197.34107 10.1016/j.physleta.2006.10.044
    • (2007) Phys. Lett. A , vol.362 , pp. 424-429
    • Jia, Q.1
  • 12
    • 50249131353 scopus 로고    scopus 로고
    • Adaptive control and synchronization of a novel hyperchaotic system with uncertain parameters
    • 1155.37026 10.1016/j.amc.2008.04.004 2451541
    • X. Zhou Y. Wu Y. Li H. Xue 2008 Adaptive control and synchronization of a novel hyperchaotic system with uncertain parameters Appl. Math. Comput. 203 80 85 1155.37026 10.1016/j.amc.2008.04.004 2451541
    • (2008) Appl. Math. Comput. , vol.203 , pp. 80-85
    • Zhou, X.1    Wu, Y.2    Li, Y.3    Xue, H.4
  • 13
    • 64049109681 scopus 로고    scopus 로고
    • Adaptive control and synchronization of a new modified hyperchaotic Lü system with uncertain parameters
    • 1197.37052 10.1016/j.chaos.2007.07.017
    • X. Zhou Y.W. Wu Y.L. Li H. Xue 2009 Adaptive control and synchronization of a new modified hyperchaotic Lü system with uncertain parameters Chaos Solitons Fractals 39 2477 2483 1197.37052 10.1016/j.chaos.2007.07.017
    • (2009) Chaos Solitons Fractals , vol.39 , pp. 2477-2483
    • Zhou, X.1    Wu, Y.W.2    Li, Y.L.3    Xue, H.4
  • 14
    • 77955770836 scopus 로고    scopus 로고
    • Adaptive synchronization of identical chaotic and hyper-chaotic systems with uncertain parameters
    • 1197.34091 10.1016/j.nonrwa.2009.06.011 2661891
    • X.F. Li A.C.S. Leung X.J. Liu X.P. Han Y.D. Chu 2010 Adaptive synchronization of identical chaotic and hyper-chaotic systems with uncertain parameters Nonlinear Anal. RWA 11 2215 2223 1197.34091 10.1016/j.nonrwa.2009.06. 011 2661891
    • (2010) Nonlinear Anal. RWA , vol.11 , pp. 2215-2223
    • Li, X.F.1    Leung, A.C.S.2    Liu, X.J.3    Han, X.P.4    Chu, Y.D.5
  • 15
    • 18544387140 scopus 로고    scopus 로고
    • Controlling and tracking hyperchaotic Rössler system via active backstepping design
    • DOI 10.1016/j.chaos.2004.12.032, PII S0960077905000676
    • H. Zhang X. Ma M. Li J. Zou 2005 Controlling and tracking hyperchaotic Rössler system via active backstepping design Chaos Solitons Fractals 26 353 361 1153.93381 10.1016/j.chaos.2004.12.032 (Pubitemid 40654956)
    • (2005) Chaos, Solitons and Fractals , vol.26 , Issue.2 , pp. 353-361
    • Zhang, H.1    Ma, X.-K.2    Li, M.3    Zou, J.-L.4
  • 16
    • 60649113255 scopus 로고    scopus 로고
    • Chaos control of 4D chaotic system using recursive backstepping nonlinear controller
    • 1197.37032 10.1016/j.chaos.2007.04.020
    • J.A. Laoye U.E. Vincent S.O. Kareem 2009 Chaos control of 4D chaotic system using recursive backstepping nonlinear controller Chaos Solitons Fractals 39 356 362 1197.37032 10.1016/j.chaos.2007.04.020
    • (2009) Chaos Solitons Fractals , vol.39 , pp. 356-362
    • Laoye, J.A.1    Vincent, U.E.2    Kareem, S.O.3
  • 17
    • 67649311974 scopus 로고    scopus 로고
    • Generalized on the chaos control of 4-D chaotic system using recursive backstepping nonlinear controller
    • 1198.65146 10.1016/j.chaos.2008.09.008
    • A.N. Njah O.D. Sunday 2009 Generalized on the chaos control of 4-D chaotic system using recursive backstepping nonlinear controller Chaos Solitons Fractals 41 2371 2376 1198.65146 10.1016/j.chaos.2008.09.008
    • (2009) Chaos Solitons Fractals , vol.41 , pp. 2371-2376
    • Njah, A.N.1    Sunday, O.D.2
  • 18
    • 40749146414 scopus 로고    scopus 로고
    • Robust chaotic control of Lorenz system by backstepping design
    • DOI 10.1016/j.chaos.2006.09.057, PII S0960077906008939
    • C.-C. Peng C.-L. Chen 2008 Robust chaotic control of Lorenz system by backstepping design Chaos Solitons Fractals 37 598 608 1139.93317 10.1016/j.chaos.2006.09.057 (Pubitemid 351380477)
    • (2008) Chaos, Solitons and Fractals , vol.37 , Issue.2 , pp. 598-608
    • Peng, C.-C.1    Chen, C.-L.2
  • 19
    • 0036885488 scopus 로고    scopus 로고
    • Sliding mode control of hyperchaos in Rössler systems
    • 1037.93507 10.1016/S0960-0779(02)00084-X 1925878
    • M.-J. Jang C.-L. Chen C.-K. Chen 2002 Sliding mode control of hyperchaos in Rössler systems Chaos Solitons Fractals 14 1465 1476 1037.93507 10.1016/S0960-0779(02)00084-X 1925878
    • (2002) Chaos Solitons Fractals , vol.14 , pp. 1465-1476
    • Jang, M.-J.1    Chen, C.-L.2    Chen, C.-K.3
  • 20
    • 61449152035 scopus 로고    scopus 로고
    • Global sliding mode control and application in chaotic systems
    • 1170.93320 10.1007/s11071-008-9391-x 2487129
    • L. Liu Z. Han W. Li 2009 Global sliding mode control and application in chaotic systems Nonlinear Dyn. 56 193 198 1170.93320 10.1007/s11071-008-9391-x 2487129
    • (2009) Nonlinear Dyn. , vol.56 , pp. 193-198
    • Liu, L.1    Han, Z.2    Li, W.3
  • 21
    • 59349116972 scopus 로고    scopus 로고
    • Finite-time chaos control of unified chaotic systems with uncertain parameters
    • 1170.70401 10.1007/s11071-008-9364-0 2472222
    • H. Wang Z. Han Q. Xie W. Zhang 2009 Finite-time chaos control of unified chaotic systems with uncertain parameters Nonlinear Dyn. 55 323 328 1170.70401 10.1007/s11071-008-9364-0 2472222
    • (2009) Nonlinear Dyn. , vol.55 , pp. 323-328
    • Wang, H.1    Han, Z.2    Xie, Q.3    Zhang, W.4
  • 22
    • 34249911752 scopus 로고    scopus 로고
    • Design of extended backstepping sliding mode controller for uncertain chaotic systems
    • C.-L. Chen H.-T. Yau C.-C. Peng 2007 Design of extended backstepping sliding mode controller for uncertain chaotic systems Int. J. Nonlinear Sci. Numer. Simul. 8 137 145
    • (2007) Int. J. Nonlinear Sci. Numer. Simul. , vol.8 , pp. 137-145
    • Chen, C.-L.1    Yau, H.-T.2    Peng, C.-C.3
  • 23
    • 33750448275 scopus 로고    scopus 로고
    • A new criterion for chaos and hyperchaos synchronization using linear feedback control
    • DOI 10.1016/j.physleta.2006.08.037, PII S0375960106012916
    • F. Wang C. Liu 2006 A new criterion for chaos and hyperchaos synchronization using linear feedback control Phys. Lett. A 360 274 278 05321956 10.1016/j.physleta.2006.08.037 (Pubitemid 44647588)
    • (2006) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.360 , Issue.2 , pp. 274-278
    • Wang, F.1    Liu, C.2
  • 24
    • 38049079764 scopus 로고    scopus 로고
    • On control and synchronization in chaotic and hyperchaotic systems via linear feedback control
    • 10.1016/j.cnsns.2006.12.011 2369454
    • M. Rafikov J.M. Balthazae 2008 On control and synchronization in chaotic and hyperchaotic systems via linear feedback control Commun. Nonlinear Sci. Numer. Simul. 13 1246 1255 10.1016/j.cnsns.2006.12.011 2369454
    • (2008) Commun. Nonlinear Sci. Numer. Simul. , vol.13 , pp. 1246-1255
    • Rafikov, M.1    Balthazae, J.M.2
  • 25
    • 0038751754 scopus 로고    scopus 로고
    • Feedback and adaptive control for the synchronization of Chen system via a single variable
    • 1024.37053 10.1016/S0375-9601(03)00573-5 1996911
    • Y. Wang Z.H. Guan H.O. Wang 2003 Feedback and adaptive control for the synchronization of Chen system via a single variable Phys. Lett. A 312 34 40 1024.37053 10.1016/S0375-9601(03)00573-5 1996911
    • (2003) Phys. Lett. A , vol.312 , pp. 34-40
    • Wang, Y.1    Guan, Z.H.2    Wang, H.O.3
  • 26
    • 0037440586 scopus 로고    scopus 로고
    • Adaptive control and synchronization of a modified Chua's circuit system
    • 1038.34041 10.1016/S0096-3003(01)00318-6 1934320
    • M.T. Yassen 2003 Adaptive control and synchronization of a modified Chua's circuit system Appl. Math. Comput. 135 113 128 1038.34041 10.1016/S0096-3003(01)00318-6 1934320
    • (2003) Appl. Math. Comput. , vol.135 , pp. 113-128
    • Yassen, M.T.1
  • 27
    • 3042599342 scopus 로고    scopus 로고
    • Chaos synchronization of Lü dynamical system
    • 1057.34042 10.1016/j.na.2004.04.002 2070803
    • H.N. Agiza 2004 Chaos synchronization of Lü dynamical system Nonlinear Anal. 58 11 20 1057.34042 10.1016/j.na.2004.04.002 2070803
    • (2004) Nonlinear Anal. , vol.58 , pp. 11-20
    • Agiza, H.N.1
  • 28
    • 69649103471 scopus 로고    scopus 로고
    • A linear time-varying controller for synchronization of Lü chaotic systems with one input
    • 10.1109/TCSII.2009.2025624
    • A. Loría 2009 A linear time-varying controller for synchronization of Lü chaotic systems with one input IEEE Trans. Circuit Syst. II, Express Briefs 56 674 678 10.1109/TCSII.2009.2025624
    • (2009) IEEE Trans. Circuit Syst. II, Express Briefs , vol.56 , pp. 674-678
    • Loría, A.1
  • 29
    • 67649345946 scopus 로고    scopus 로고
    • Master-slave synchronization of Lorenz systems using a single controller
    • 1198.93149 10.1016/j.chaos.2008.09.038
    • S. Oancea F. Grosu A. Lazar I. Grosu 2009 Master-slave synchronization of Lorenz systems using a single controller Chaos Solitons Fractals 41 2575 2580 1198.93149 10.1016/j.chaos.2008.09.038
    • (2009) Chaos Solitons Fractals , vol.41 , pp. 2575-2580
    • Oancea, S.1    Grosu, F.2    Lazar, A.3    Grosu, I.4
  • 30
    • 77949424907 scopus 로고    scopus 로고
    • Bursting synchronization of Hind-Rose system based on a single controller
    • 1183.92005 10.1007/s11071-009-9523-y
    • X.-R. Shi 2010 Bursting synchronization of Hind-Rose system based on a single controller Nonlinear Dyn. 59 95 99 1183.92005 10.1007/s11071-009-9523-y
    • (2010) Nonlinear Dyn. , vol.59 , pp. 95-99
    • Shi, X.-R.1
  • 31
    • 41749123222 scopus 로고    scopus 로고
    • On hyperchaos synchronization of a hyperchaotic Lü system
    • DOI 10.1016/j.na.2007.04.002, PII S0362546X07002817
    • M.T. Yassen 2008 On hyperchaos synchronization of hyperchaotic Lü systems Nonlinear Anal. 68 3592 3600 05324071 10.1016/j.na.2007.04.002 2401370 (Pubitemid 351491494)
    • (2008) Nonlinear Analysis, Theory, Methods and Applications , vol.68 , Issue.11 , pp. 3592-3600
    • Yassen, M.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.