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International Journal of Systems Science Volume 33, 2002 - Issue 5
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Original Articles

Design of globally stable controllers for a class of chaotic systems

N. Apostolou
&
R. E. King
Pages 379-386 | Published online: 26 Nov 2010

  • ALVAREZ , J. , CURIEL , E. and VERDUZCO , F. 1997 . Complex dynamics in classical control systems . Systems and Control Letters. , 31 : 277 – 285 .
  • ANTSAKLIS , P. and MICHEL , A. 1997 . Linear Systems , New York : McGraw-Hill .
  • BOCALETTI , S. and ARECCHI , F. T. 1996 . Adaptive recognition and control of chaos . Physica D , 96 : 9 – 16 .
  • CHEN , C. T. 1998 . Linear System Theory and Design , New York : Oxford University Press .
  • CHUA , L. O. , KOMURO , M. and MATSUMOTO , T. 1986 . The double scroll family Part I: Rigorous proof of chaos . IEEE Transactions on Circuits and Systems. CAS , 33 : 1072 – 1118 .
  • FRIEDLAND , B. 1995 . Advance Control Systems Design , Englewood Cliffs : Prentice Hall .
  • GALIAS , Z. 1997 . Lyapunov exponents for analysis of synchronization of chaotic systems . International Journal of Circuit Theory and Applications. , 27 : 589 – 604 .
  • GENESIO , R. , TESI , A. and VILLORESI , F. 1995 . Models of complex dynamics in non-linear systems . Systems and Control Letters , 25 : 185 – 192 .
  • HSIEH , J. Y. , HWANG , C. C. , WANG , A. P. and Li , W. J. 1999 . Controlling hyperchaos of the Rössler system . International Journal of Control , 72 : 882 – 886 .
  • HWANG , C. C. , CHOW , H. Y. and WANGY , K. 1996 . A new feedback control of a modified Chua's circuit system . Physica D , 92 : 95 – 100 .
  • ISIDORI , A. 1989 . Nonlinear Control Systems , Berlin : Springer .
  • KAILATH , T. 1980 . Linear Systems , Englewood Cliffs : Prentice Hall .
  • KOCAREV , L. and PARLITZ , U. 1995 . General approach for chaotic synchronization with application to communication . Phys. Review Letters , 74 : 5028 – 5031 .
  • LAI , Y-C. 1996 . Driving trajectories to a desirable attractor by using a small control . Physics Letters A. , 22 : 375 – 383 .
  • MADAN , R. N. 1993 . Chua's Circuit: A Paradigm for Chaos , Singapore : World Scientific .
  • MATSUMOTO , T. , CHUA , L. O. and KOBAYASHI , K. 1986 . Hyperchaos: laboratory experiment and numerical confirmation . IEEE Transactions on Circuits and Systems , CAS-33 : 1143 – 1147 .
  • RÖSSLER , O. E. 1979 . An equation for hyperchaos . Physics Letters A , 71 : 155 – 157 .
  • SARACHIK , P. E. 1997 . Principles of Linear Systems , Cambridge : Cambridge University Press .
  • TIAN , Y.-P. 1999 . Controlling chaos using invariant manifolds . International Journal of Control. , 72 : 258 – 266 .
  • TORRES , L. A. B. and AGUIRRE , L. A. 1999 . Extended chaos control method to Chua circuit . IEEE Electronic Letters. , 35 : 768 – 770 .
  • Yu , X. 1996 . Controlling Lorenz chaos . International Journal of Systems Science , 27 : 355 – 359 .
  • ZHONG , G. Q. and AYROM , F. 1983 . Periodicity and chaos in Chua's circuit . IEEE Transactions on Circuits and Systems , CAS 32 : 501 – 503 .

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