Control techniques for chaotic dynamical systems

Roberto Genesio; Alberto Tesi

Kybernetika (1993)

  • Volume: 29, Issue: 5, page 469-478
  • ISSN: 0023-5954

How to cite


Genesio, Roberto, and Tesi, Alberto. "Control techniques for chaotic dynamical systems." Kybernetika 29.5 (1993): 469-478. <>.

author = {Genesio, Roberto, Tesi, Alberto},
journal = {Kybernetika},
keywords = {stabilization; control; chaotic dynamical systems},
language = {eng},
number = {5},
pages = {469-478},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Control techniques for chaotic dynamical systems},
url = {},
volume = {29},
year = {1993},

AU - Genesio, Roberto
AU - Tesi, Alberto
TI - Control techniques for chaotic dynamical systems
JO - Kybernetika
PY - 1993
PB - Institute of Information Theory and Automation AS CR
VL - 29
IS - 5
SP - 469
EP - 478
LA - eng
KW - stabilization; control; chaotic dynamical systems
UR -
ER -


  1. E. H. Abed H. O. Wang, R. C. Chen, Stabilization of period doubling bifurcations and implications for control of chaos, In: Proc. 31st IEEE Conference on Decision and Control, Tucson 1992, pp. 2119-2124. (1992) 
  2. F. Albertini, E. D. Sontag, Some connections between chaotic dynamical systems and control systems, In: Proc. 1st European Control Conference, Grenoble 1991, pp. 158-163. (1991) 
  3. D. P. Atherton, Nonlinear Control Engineering, Van Nostrand Reinhold, London 1975. (1975) 
  4. Y. Braiman, I. Goldhirsch, Taming chaotic dynamics with weak periodic perturbations, Phys. Rev. Lett. 66 (1991), 2545-2548. (1991) Zbl0968.37508MR1105508
  5. T. L. Carrol, L.M. Pecora, A circuit for studying the synchronization of a chaotic system, Internat. J. Bifur. Chaos Appl. Sci. Engng. 2 (1992), 659-667. (1992) MR1192702
  6. G. Chen, X. Dong, On feedback control of chaotic nonlinear dynamic systems, Internat. J. Bifur. Chaos Appl. Sci. Engng. 2 (1992), 407-412. (1992) Zbl0875.93176MR1176647
  7. G. Chen, X. Dong, From chaos to order- Prespectives and methodologies in controlling chaotic nonlinear dynamical systems, Systems Control and Computing, Tech. Rep. 92-07, University of Houston, Houston 1992. (1992) 
  8. L. O. Chua, The genesis of Chua's circuit, Archiv fur Elektronik und Ubertragungstechnik 47 (1992), 250-257. (1992) 
  9. F. Colonius, W. Klienman, On control sets and feedback for nonlinear systems, In: Preprints 2nd 1FAC Symposium NOLCOS, Bordeaux 1992, pp. 29-36. (1992) 
  10. A. Dabrowski Z. Galias, M.J. Ogorzalek, A study of identification and control in a real implementation of Chua's circuit, In: Preprints 2nd IFAC Workshop on System Structure and Control, Prague 1992, pp. 278-281. (1992) 
  11. W. L. Ditto S. N. Rauseo, M. L. Spano, Experimental control of Chaos, Phys. Rev. Lett. 25 (1990), 3211-3214. (1990) 
  12. U. Dressier, G. Nitsche, Controlling Chaos using time delay coordinates, Phys. Rev. Lett. 68 (1992), 1-4. (1992) 
  13. W. H. Fleming (ed.), Report of the panel on future directions in control theory: a mathematical perspective, Society for Industrial and Applied Mathematics, Philadelfia 1988. (1988) 
  14. T. B. Fowler, Application of stochastic control techniques to chaotic nonlinear systems, IEEE Trans. Automat. Control AC-34 (1989), 201-205. (1989) Zbl0677.93072MR0975586
  15. R. Genesio, A. Tesi, Chaos prediction in nonlinear feedback systems, IEE Proc. D Control Theory and Applications 138 (1991), 313-320. (1991) Zbl0754.93024
  16. R. Genesio, A. Tesi, Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems, Automatica 28 (1992), 531-548. (1992) Zbl0765.93030
  17. R. Genesio, A. Tesi, A harmonic balance approach for chaos prediction: the Chua's circuit, Internat. J. Bifur. Chaos Appl. Sci. Engng. 2 (1992), 61-79. (1992) MR1166315
  18. R. Genesio, A. Tesi, Distortion Control of chaotic systems: the Chua's circuit, J. Circuits, Systems and Computers 5 (1993), 151-171. (1993) MR1231456
  19. A. Hiibler, Adaptive control of chaotic systems, Helv. Phys. Acta 62 (1989), 343-346. (1989) 
  20. A. Hiibler, Modeling and control of complex systems: paradigms and applications, In: Modeling Complex Phenomena (L. Lam and V. Naroditsky, eds.), Springer-Verlag, New York 1992, pp. 5-65. (1992) MR1221780
  21. E. R. Hunt, Stabilizing high-period orbits in a chaotic system: the diode resonator, Phys. Rev. Lett. 57 (1992), 1953-1955. (1992) 
  22. H. Hyotyniemi, Postponing Chaos using a robust stabilizer, In: Proc. 1st IFAC Symposium on Design Methods of Control Systems, Zurich 1991, pp. 568-572. (1991) 
  23. E. A. Jackson, The entrainment and migration controls of multiple-attractor systems, Phys. Lett. A 151 (1990), 478-484. (1990) MR1090795
  24. E. A. Jackson: O, n the control of complex dynamic systems, Phys. Lett. D 50 (1991), 341-366. (1991) MR1119031
  25. J. H. Kim, J. Stringer (eds.), Applied Chaos, John Wiley, New York 1992. (1992) Zbl0876.00014MR1196701
  26. H. C. Lee., E. H. Abed, Washout filters in the bifurcation control of high alpha flight dynamics, In: Proc. 1991 IEEE Amer. Contr. Conf., Boston 1991. (1991) 
  27. R. Lima, M. Pettini, Suppression of Chaos by resonant parametric perturbations, Phys. Rev. 41 (1991), 1726-1733. (1991) MR1036969
  28. R. Madan (ed.), Special Issue on Chua's circuit: A paradigm for chaos. Part I, J. Circuits, Systems and Computers 3 (1993), 1. (1993) 
  29. R. Madan (ed.), Special Issue on Chua's circuit: A paradigm for chaos. Part II, J. Circuits, Systems and Computers 5 (1993), 2. (1993) 
  30. A.I. Mees, Dynamics of Feedback Systems, John Wiley, New York 1981. (1981) Zbl0454.93003MR0621839
  31. M. Mohler, Nonlinear systems: Dynamics and Control. Vol. I, Prentice Hall, Englewood Cliffs 1991. (1991) 
  32. F. Mossayebi H. K. Qammar, T. T. Hartley, Adaptive estimation and synchronization of chaotic systems, Phys. Lett. A 161 (1991), 255-262. (1991) 
  33. E.C. Ott C. Grebogi, J. A. Yorke, Controlling Chaos, Phys. Rev. Lett. 64 (1990), 1196-1199. (1990) MR1041523
  34. B. Peng V. Petrov, and K. Showalter, Controlling Chemical Chaos, J. Phys. Chem. 95 (1991), 4957-4959. (1991) 
  35. R. Rajasekar, M. Lakshmanan, Controlling of chaos in Bonhoeffer-van der Poloscillator, Internat. J. Bifur. Chaos Appl. Sci. Engng. 2 (1992), 201-204. (1992) MR1166325
  36. F. J. Romeiras E. Ott C. Grebogi, W. P. Dayawansa, Controlling chaotic dynamical systems, In: Proc. 1991 IEEE Amer. Control Conference, Boston 1991. (1991) MR1188248
  37. R. Roy T.W. Murphy, Jr. T.D. Maier Z. Gills, and E. R. Hunt, Dynamical control of a chaotic laser: experimental stabilization of a globally coupled system, Phys. Rev. Lett. 68 (1992), 1259-1262. (1992) 
  38. T. Shinbrot E. Ott C. Grebogi, J. A. Yorke, Using Chaos to direct trajectories to targets, Phys. Rev. Lett. 65 (1990), 3215-3218. (1990) 
  39. D. D. Siljak, Nonlinear Systems: the Parameter Analysis and Design, John Wiley, New York 1969. (1969) Zbl0194.39302
  40. J. Singer Y. Z. Wang, H. H. Bau, Controlling a chaotic system, Phys. Rev. Lett. 66 (1991), 1123-1125. (1991) 
  41. S. Sinha R. Ramaswamy, J. S. Rao: A, daptive control in nonlinear dynamics, Phys. Lett. D 43 (1990), 118-128. (1990) MR1060048
  42. T. Taylor, Chaos and its applications in control, In: Proc. 31st IEEE Conference on Decision and Control, Tucson 1992, pp. 2102-2106. (1992) 
  43. A. Vaněček, Strongly nonlinear and other control systems, Problems Control Inform. Theory 20 (1991), 3-12. (1991) MR1102179
  44. M. Vidyasagar, Nonlinear System Analysis, Prentice-Hall, Englewood Cliffs 1978. (1978) 
  45. T. L. Vincent, J. Yu, Control of a chaotic system, Dynamics and Control 1 (1991), 35-52. (1991) Zbl0747.93071MR1110022
  46. H. O. Wang, E. H. Abed, Bifurcation control of chaotic dynamical systems, In: Preprints 2nd IFAC Symposium NOLCOS, Bordeaux, France, 1992. (1992) 

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.