Adaptive Recurrent Neural Control for Noisy Chaos Synchronization

Proceedings of the American Control Conference

Volumn 2, Issue , 2003, Pages 1290-1295

  Sanchez, Edgar N ^a   Perez, Jose P ^a,b  

^a UNIDAD GUADALAJARA   (Mexico)

^b UNIVERSIDAD AUTÓNOMA DE NUEVO LEÓN   (Mexico)

Author keywords

Chaos synchronization; Lyapunov methodology; Recurrent neural networks; Stochastic systems; Trajectory tracking

Indexed keywords

ACOUSTIC VARIABLES CONTROL; CHAOS THEORY; ERROR ANALYSIS; LYAPUNOV METHODS; RECURRENT NEURAL NETWORKS; STOCHASTIC CONTROL SYSTEMS; SYNCHRONIZATION;

TRAJECTORY TRACKING;

ADAPTIVE CONTROL SYSTEMS;

EID: 0142169382     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (21)

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. S. Das and O. Olutorimi, "Noisy recurrent neural networks: the continuous-time case", IEEE Trans. on Neural Networks, vol. 9, pp 913-936, 1998.
8. A. Isidori, Nonlinear Control Systems, 3rd Ed., Springer Verlag, New York, USA, 1995.
9. D. J. Hill and P. Moylan, "The Stability of nonlinear dissipative systems", IEEE Trans. on Auto. Contr., vol. 21, 708-711, 1996.
10. H. W. Knobloch, A. Isidori and D. Flockerzi, Topics in Control Theory, Birkhauser, Boston, USA, 1993.
11. T. Basar and P. Bernhard, H-Infinity Optimal Control and Related Minimax Design Problems, Birkhauser, Boston, USA, 1995.
12. M. Krstic. and H. Deng, Stabilization of Nonlinear Unceratin Systems, Springer Verlag, New York, N.Y., USA, 1998.
13. 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, vol. 11, No. 3, pp 857-863, 2001.
14. E. N. Sanchez, J. P. Perez, L. J. Ricalde and G. Chen, "Chaos Synchronization via adaptive recurrent neural networks", in Proc. of the 40th IEEE CDC, Orlando, Fl., USA, December 2001.
15. E. N. Sanchez, J. P. Perez, and L. J. Ricalde, "Recurrent neural control for robot trajectory tracking", in Proc. of 15th IFAC World Congress, Barcelona, Spain, July 2002.
16. E. N. Sanchez, J. P. Perez, and G. Chen, "Stabilization of stochastic recurrent neural networks via inverse optimal control", in Proc. of the 41th IEEE CDC, Las Vegas, Nevada, USA, December 2002.
17. E. N. Sánchez and J. P. Perez, "Stochastic recurrent neural control for trajectory tracking via inverse optimal control", in Proc. of the 2002 IFAC Latinamerican Congress on Automatic Control, Guadalajara, Mexico, December 2002.
18. T. S. Caroll, "Noise resistant chaotic synchronization", Physical Review E, vol. 64, 2001
19. H.Khalil, Nonlinear System Analysis, 2nd ed., Prentice Hall, New York, 1996.
20. E. N. Sanchez and J. P. Perez., "Input-to-state stability analysis for dynamic neural networks", IEEE Trans. Circuits Syst. I, vol. 46, 1395-1398, 1999.
21. G. Chen and T. Ueta, "Yet another chaotic attractor", Intl. J. of Bifurcation and Chaos, vol. 9, pp 2465-2466, 1999.