On some controllability conditions for chaotic dynamics control

Chaos, Solitons and Fractals

Volumn 8, Issue 9, 1997, Pages 1461-1470

  Chen, Guanrong ^a  

^a UNIVERSITY OF HOUSTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROLLABILITY; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; NONLINEAR CONTROL SYSTEMS; OSCILLATORS (ELECTRONIC);

CHAOTIC DYNAMICS CONTROL; CHUA'S CIRCUIT; DUFFING OSCILLATOR;

CHAOS THEORY;

EID: 0031238320     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(96)00146-4     Document Type: Article

References (27)

1. Chen, G., Control and synchronization of chaotic systems (a bibliography). ECE Department, University of Houston, TX-available from ftp: ftp.egr.uh.edu/pub/TeX/chaos.tex (login name: anonymous; password: your e-mail address).
2. Chen, G., Chen, G. and Hsu, S. H., Linear Stochastic Control Systems. CRC Press, Boca Raton, FL, 1995.
3. Chen, G. and Dong, X., On feedback control of chaotic dynamical systems. Int. J. Bifurcation and Chaos, 1992, 2, 407-411.
4. Chen, G. and Dong, X., From chaos to order-perspectives and methodologies in controlling nonlinear dynamical systems. Int. J. Bifurcation and Chaos, 1993 3, 1363-1409.
5. Chen, G. and Dong, X., On feedback control of chaotic continuous-time systems. IEEE Trans. Circ. Syst. (I), 1993, 40, 591-601.
6. Chen, G. and Dong, X., Controlling Chua's circuit. J. Circ. Syst. Comput., 1993, 3, 139-149.
7. Chen, G. and Dong, X., Ordering chaos of Chua's circuit-a feedback control approach. Proc. of IEEE Int. Symp. on Circ. Syst., Chicago, IL, May 1993, pp. 2604-2607.
8. Chen, G. and Hu, G., Some controllability conditions for nonlinear feedback control of chaotic systems. J. Beijing Normal Univ. (Natural Sci.), 1997, 32, 208-212.
9. Chen, G. and Lai, D., Feedback control of Lyapunov exponents for discrete-time dynamical systems. Int. J. Bifurcation and Chaos, 1996, 6, 1341-1349.
10. Chen, G. and Lai, D., Making a dynamical system chaotic: feedback control of Lyapunov exponents for discrete-time dynamical systems. IEEE Trans. Circ. Syst. (I), 1997, in press.
11. Chua, L. O., The genesis of Chua's circuit, AEÜ. Int. J. Elec. Commun., 1992, 46, 187-257.
12. Chua, L. O., Komuro, M. and Matsumoto, T., The double scroll family: I and II. IEEE Trans. Circ. Syst., 1986, 33, 1072-1118.
13. Chui, C.K. and Chen, G., Linear Systems and Optimal Control. Springer, New York, 1989.
14. Chui, C.K. and Chen, G., Signal Processing and Systems Theory: Selected Topics. Springer, New York, 1992.
15. Dong, X. and Chen, G., Controlling chaotic continuous-time systems via feedback. IEEE Proc. Decis. Control Conf., Tucson, AZ, Dec. 1992, pp. 2502-2503.
16. de Figueiredo, R. J. P. and Chen, G., Analysis of Nonlinear Feedback Control Systems: An Operator Theoretic Approach. Academic Press, New York, 1993.
17. Hu, G., Qu, Z. and Chen, G., Stability criterion of a periodic orbit-controllability of chaos. J. Beijing Normal University (Natural Science), 1995, 31, 65-70.
18. Kapitaniak, T., Controlling Chaos. Academic Press, New York, 1996.
19. Khalil, H. K., Nonlinear Systems. Macmillan, New York, 1995, 2nd edn.
20. Matsumoto, T., A chaotic attractor from Chua's circuit. IEEE Trans. Circ. Syst., 1984, 31, 1055-1058.
21. Matsumoto, T., Chaos in electronic circuits. Proc. of IEEE, 1987, 75, 1033-1057.
22. Matsumoto, T., Chua, L. O. and Komuro, M., The double scroll. IEEE Trans. Circ. Syst., 1985, 32, 798-817.
23. Mrozek, M., Rigorous numerics of chaotic dynamical systems. In Chaos - The Interplay Between Stochastic and Deterministic Behaviour, eds P. Gabaczewski, M. Wolf and A. Weron. Springer, New York, 1995, pp. 283-296.
24. Nijmeijer, H. and van der Schaft, A. J., Nonlinear Dynamical Control Systems. Springer, New York, 1990.
25. Nijmeijer, H. and Berghuis, H., On Lyapunov control of the Duffing equation. IEEE Trans. Circ. Syst., 1995, 42, 473-477.
26. Vidyasagar, M., Nonlinear Systems Analysis. Wiley, New York, 1993, 2nd edn.
27. Wu, S., Chua's circuit family. IEEE Proc., 1987, 75, 1022-1032.