Input-to-state stabilization of dynamic neural networks

IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans.

Volumn 33, Issue 4, 2003, Pages 532-536

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

^a UNIDAD GUADALAJARA   (Mexico)

^b UNIVERSIDAD AUTÓNOMA DE NUEVO LEÓN   (Mexico)

Author keywords

Dynamic neural networks; Lyapunov analysis; Nonlinear systems; Stability

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; FEEDBACK; LYAPUNOV METHODS; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS;

DYNAMIC NEURAL NETWORKS; INPUT-TO-STATE STABILIZATION; INVERSE OPTIMAL CONTROL TECHNIQUE;

NEURAL NETWORKS;

EID: 0242386645     PISSN: 10834427     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCA.2003.811509     Document Type: Letter

References (14)

1. R. G. Bartle, The Elements of Real Analysis. New York: Wiley, 1976.
2. C. T. Chen, Linear System Theory and Design. New York: Saunders, 1984.
3. M. Forti et al., "Necessary and sufficient conditions for absolute stability of neural networks," IEEE Trans. Circuits Syst. I, vol. 41, pp. 491-494, July 1994.
4. J. J. Hopfield, "Neurons with graded reponse have collective computational properties like those of two-state neurons," in Proc. Nat. Acad. Sci., vol. 81, May 1984, pp. 3088-3092.
5. E. Kaszkurewics and A. Bhaya, "On a class of globally stable neural circuits," IEEE Trans. Circuits Syst. I, vol. 41, pp. 171-174, Feb. 1994.
6. H. Khalil, Nonlinear System Analysis, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 1996.
7. M. Krstic and H. Deng, Stabilization of Nonlinear Uncertain Systems. New York: Springer-Verlag, 1998.
8. K. Matsouka, "Stability conditions for nonlinear continuous neural networks with asymmetric connections weights," Neural Networks, vol. 5, pp. 495-500, 1992.
9. A. N. Michel, J. A. Farrell, and W. Porod, "Qualitative analysis of neural networks," IEEE Trans. Circuits Syst., vol. 36, pp. 229-243, Feb. 1989.
10. E. N. Sanchez and J. P. Perez, "Input-to-state stability analysis for dynamic neural networks," IEEE Trans. Circuits Syst. I, vol. 46, pp. 1395-1398, Nov. 1999.
11. E. N. Sanchez, J. P. Perez, and G. Chen, "Using dynamic neural networks to generate chaos: An inverse optimal control approach," Int. J. Bifurcation Chaos, vol. 11, pp. 857-863, 2001.
12. E. N. Sanchez, J. P. Perez, L. J. Ricalde, and G. Chen, "Chaos synchronization via adaptive recurrent neural control," in Proc. 40th IEEE CDC, Orlando, FL. Dec. 2001 pp. 3536-3539.
13. S. Sastry, Nonlinear Systems. New York: Springer-Verlag, 1999.
14. R. Sepulchre, M. Jankovic, and P. Kokotovic, Constructive Nonlinear Control. New York: Springer-Verlag, 1997.