| Title:
|
Control techniques for chaotic dynamical systems (English) |
| Author:
|
Genesio, Roberto |
| Author:
|
Tesi, Alberto |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
29 |
| Issue:
|
5 |
| Year:
|
1993 |
| Pages:
|
469-478 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34H05 |
| MSC:
|
37-99 |
| MSC:
|
37D45 |
| MSC:
|
93C10 |
| MSC:
|
93D15 |
| idZBL:
|
Zbl 0809.34058 |
| idMR:
|
MR1264879 |
| . |
| Date available:
|
2009-09-24T18:42:47Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124533 |
| . |
| Reference:
|
[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. |
| Reference:
|
[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. |
| Reference:
|
[3] D. P. Atherton: Nonlinear Control Engineering.Van Nostrand Reinhold, London 1975. |
| Reference:
|
[4] Y. Braiman, I. Goldhirsch: Taming chaotic dynamics with weak periodic perturbations.Phys. Rev. Lett. 66 (1991), 2545-2548. Zbl 0968.37508, MR 1105508 |
| Reference:
|
[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. MR 1192702 |
| Reference:
|
[6] G. Chen, X. Dong: On feedback control of chaotic nonlinear dynamic systems.Internat. J. Bifur. Chaos Appl. Sci. Engng. 2 (1992), 407-412. Zbl 0875.93176, MR 1176647 |
| Reference:
|
[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. |
| Reference:
|
[8] L. O. Chua: The genesis of Chua's circuit.Archiv fur Elektronik und Ubertragungstechnik 47 (1992), 250-257. |
| Reference:
|
[9] F. Colonius, W. Klienman: On control sets and feedback for nonlinear systems.In: Preprints 2nd 1FAC Symposium NOLCOS, Bordeaux 1992, pp. 29-36. |
| Reference:
|
[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. |
| Reference:
|
[11] W. L. Ditto S. N. Rauseo, M. L. Spano: Experimental control of Chaos.Phys. Rev. Lett. 25 (1990), 3211-3214. |
| Reference:
|
[12] U. Dressier, G. Nitsche: Controlling Chaos using time delay coordinates.Phys. Rev. Lett. 68 (1992), 1-4. |
| Reference:
|
[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. |
| Reference:
|
[14] T. B. Fowler: Application of stochastic control techniques to chaotic nonlinear systems.IEEE Trans. Automat. Control AC-34 (1989), 201-205. Zbl 0677.93072, MR 0975586 |
| Reference:
|
[15] R. Genesio, A. Tesi: Chaos prediction in nonlinear feedback systems.IEE Proc. D Control Theory and Applications 138 (1991), 313-320. Zbl 0754.93024 |
| Reference:
|
[16] R. Genesio, A. Tesi: Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems.Automatica 28 (1992), 531-548. Zbl 0765.93030 |
| Reference:
|
[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. MR 1166315 |
| Reference:
|
[18] R. Genesio, A. Tesi: Distortion Control of chaotic systems: the Chua's circuit.J. Circuits, Systems and Computers 5 (1993), 151-171. MR 1231456 |
| Reference:
|
[19] A. Hiibler: Adaptive control of chaotic systems.Helv. Phys. Acta 62 (1989), 343-346. |
| Reference:
|
[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. MR 1221780 |
| Reference:
|
[21] E. R. Hunt: Stabilizing high-period orbits in a chaotic system: the diode resonator.Phys. Rev. Lett. 57 (1992), 1953-1955. |
| Reference:
|
[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. |
| Reference:
|
[23] E. A. Jackson: The entrainment and migration controls of multiple-attractor systems.Phys. Lett. A 151 (1990), 478-484. MR 1090795 |
| Reference:
|
[24] E. A. Jackson: O: n the control of complex dynamic systems.Phys. Lett. D 50 (1991), 341-366. MR 1119031 |
| Reference:
|
[25] J. H. Kim, J. Stringer (eds.): Applied Chaos.John Wiley, New York 1992. Zbl 0876.00014, MR 1196701 |
| Reference:
|
[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. |
| Reference:
|
[27] R. Lima, M. Pettini: Suppression of Chaos by resonant parametric perturbations.Phys. Rev. 41 (1991), 1726-1733. MR 1036969 |
| Reference:
|
[28] R. Madan (ed.): Special Issue on Chua's circuit: A paradigm for chaos. Part I.J. Circuits, Systems and Computers 3 (1993), 1. |
| Reference:
|
[29] R. Madan (ed.): Special Issue on Chua's circuit: A paradigm for chaos. Part II.J. Circuits, Systems and Computers 5 (1993), 2. |
| Reference:
|
[30] A.I. Mees: Dynamics of Feedback Systems.John Wiley, New York 1981. Zbl 0454.93003, MR 0621839 |
| Reference:
|
[31] M. Mohler: Nonlinear systems: Dynamics and Control. Vol. I.Prentice Hall, Englewood Cliffs 1991. |
| Reference:
|
[32] F. Mossayebi H. K. Qammar, T. T. Hartley: Adaptive estimation and synchronization of chaotic systems.Phys. Lett. A 161 (1991), 255-262. |
| Reference:
|
[33] E.C. Ott C. Grebogi, J. A. Yorke: Controlling Chaos.Phys. Rev. Lett. 64 (1990), 1196-1199. MR 1041523 |
| Reference:
|
[34] B. Peng V. Petrov, and K. Showalter: Controlling Chemical Chaos.J. Phys. Chem. 95 (1991), 4957-4959. |
| Reference:
|
[35] R. Rajasekar, M. Lakshmanan: Controlling of chaos in Bonhoeffer-van der Poloscillator.Internat. J. Bifur. Chaos Appl. Sci. Engng. 2 (1992), 201-204. MR 1166325 |
| Reference:
|
[36] F. J. Romeiras E. Ott C. Grebogi, W. P. Dayawansa: Controlling chaotic dynamical systems.In: Proc. 1991 IEEE Amer. Control Conference, Boston 1991. MR 1188248 |
| Reference:
|
[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. |
| Reference:
|
[38] T. Shinbrot E. Ott C. Grebogi, J. A. Yorke: Using Chaos to direct trajectories to targets.Phys. Rev. Lett. 65 (1990), 3215-3218. |
| Reference:
|
[39] D. D. Siljak: Nonlinear Systems: the Parameter Analysis and Design.John Wiley, New York 1969. Zbl 0194.39302 |
| Reference:
|
[40] J. Singer Y. Z. Wang, H. H. Bau: Controlling a chaotic system.Phys. Rev. Lett. 66 (1991), 1123-1125. |
| Reference:
|
[41] S. Sinha R. Ramaswamy, J. S. Rao: A: daptive control in nonlinear dynamics.Phys. Lett. D 43 (1990), 118-128. MR 1060048 |
| Reference:
|
[42] T. Taylor: Chaos and its applications in control.In: Proc. 31st IEEE Conference on Decision and Control, Tucson 1992, pp. 2102-2106. |
| Reference:
|
[43] A. Vaněček: Strongly nonlinear and other control systems.Problems Control Inform. Theory 20 (1991), 3-12. MR 1102179 |
| Reference:
|
[44] M. Vidyasagar: Nonlinear System Analysis.Prentice-Hall, Englewood Cliffs 1978. |
| Reference:
|
[45] T. L. Vincent, J. Yu: Control of a chaotic system.Dynamics and Control 1 (1991), 35-52. Zbl 0747.93071, MR 1110022 |
| Reference:
|
[46] H. O. Wang, E. H. Abed: Bifurcation control of chaotic dynamical systems.In: Preprints 2nd IFAC Symposium NOLCOS, Bordeaux, France, 1992. |
| . |
