Using adaptive recurrent neural networks for chaos control

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

Volumn 10, Issue 6, 2003, Pages 915-928

  Sanchez, Edgar N ^a   Ricalde, Luis J ^a   Perez, Jose P ^a  

^a UNIDAD GUADALAJARA   (Mexico)

Author keywords

Adaptive control; Chaos synchronization; Dynamic neural networks; Inverse optimal design; Lyapunov function; Stability

Indexed keywords

EID: 4644349428     PISSN: 14928760     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. K. S. Narendra and K. Parthasarathy, "Identification and control of dynamical systems using neural networks", IEEE Trans. on Neural Networks, vol. 1, no. 1, pp 4-27, 1990.
2. M. M. Gupta and D. H. Rao (Eds.), Neuro-Control Systems, Theory and Applications, IEEE Press, Piscataway, N.J., USA, 1994.
3. K. Hunt, G. Irwin and K. Warwick (Eds.), Neural Networks Engineering in Dynamic Control Systems, Springer Verlag, New York, USA, 1995.
4. A. S. Poznyak, W. Yu, E. N. Sanchez, and J. P. Perez, "Nonlinear adaptive trajectory tracking using dynamic neural networks", IEEE Trans. on Neural Networks, vol. 10, no 6, pp 1402-1411, Nov. 1999.
5. K. Suykens, L. Vandewalle and R. de Moor, Artificial Neural Networks for Modelling and Control of Nonlinear Systems, Kluwer Academic Publishers, Boston, USA, 1996.
6. G. A. Rovitahkis and M. A. Christodoulou, Adaptive Control with Recurrent High-Order Neural Networks, Springer Verlag, New York, USA, 2000.
7. A. Isidori, Nonlinear Control Systems, 3rd Ed., Springer Verlag, New York, USA, 1995.
8. D. J. Hill and P. Moylan, "The Stability of nonlinear dissipative systems", IEEE Trans. on Auto. Contr., vol. 21, 708-711, 1996.
9. H. W. Knobloch, A. Isidori and D. Flockerzi, Topics in Control Theory, Birkhauser, Boston, USA, 1993.
10. T. Basar and P. Bernhard, H-Infinity Optimal Control and Related Minimax Design Problems, Birkhauser, Boston, USA, 1995.
11. M. Krstic and H. Deng, Stablization of Nonlinear Uncertain Systems, Springer Verlag, New York, USA, 1998.
12. E. N. Sanchez, J. P. Perez and G. Chen, "Using dynamic neural control to generate chaos: An inverse optimal control approach", Int. J. of Bifurcation and Chaos, to appear, 2001.
13. E. B. Kosmatopoulos et al., "Dynamical neural networks that ensure exponential identification error convergence", Neural Networks, vol. 1, no. 2, pp 299-314, 1997.
14. H. Khalil, Nonlinear Systems, 2nd Ed., Prentice Hall, Upper Saddle River, NJ, USA, 1996.
15. N. Sanchez and J. P. Perez, "Input-to-state stability analysis for namic neural networks", IEEE Trans. Circuits Syst. I, vol. 46, pp 1395-1398, 1999.