Equilibrium analysis of cellular neural networks

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 51, Issue 5, 2004, Pages 903-912

  Gilli, Marco ^a   Biey, Mario ^a   Checco, Paolo ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

Cellular neural networks (CNNs); Equilibrium analysis; Nonlinear circuits; Stable equilibrium points

Indexed keywords

ALGORITHMS; COMPUTATION THEORY; DYNAMICS; PROGRAM PROCESSORS;

EQUILIBRIUM ANALYSIS; NONLINEAR CIRCUITS;

CELLULAR NEURAL NETWORKS;

EID: 2542607748     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2004.827624     Document Type: Article

References (15)

1. L. O. Chua and L. Yang, "Cellular neural networks: Theory," IEEE Trans. Circuits Syst., vol. 35, pp. 1257-1272, Oct. 1988.
2. ____, "Cellular neural networks: Applications," IEEE Trans. Circuits Syst., vol. 35, pp. 1273-1290, Oct. 1988.
3. L. O. Chua and T. Roska, "The CNN paradigm," IEEE Trans. Circuits Syst. I, vol. 40, pp. 147-156, Mar. 1993.
4. Special issue on bio-inspired processors and cellular neural network for vision, IEEE Trans. Circuits Syst. I, Feb. 1999, vol. 46, pp. 225-336.
5. Special issue on spatio-temporal signal processing with analogic CNN visual microprocessors, J. VLSI Signal Processing, vol. 23, no. 2/3, pp. 219-511, 1999.
6. A. R. Vàzquez, M. Delgado-Restituto, E. Roca, G. Linan, R. Carmona, S. Espejo, and R. Dominguez-Castro, "CMOS analogue design primitives," in Toward the Visual Microprocessor - VLSI Design and Use of Cellular Network Universal Machines, T. Roska and A. Rodriguez-Vazquez, Eds. Chichester, U.K.: Wiley, 2000, pp. 87-131.
7. P. P. Civalleri and M. Gilli, "On stability of cellular neural networks," J. VLSI Signal Processing, vol. 23, pp. 429-435, 1999.
8. S. Arik and V. Tavsanoglu, "Equilibrium analysis of nonsymmetric CNNs," Int. J. Circuit Theory Applicat., vol. 24, pp. 269-274, 1996.
9. M. P. Joy and V. Tavsanoglu, "An equilibrium analysis of CNNs," IEEE Trans. Circuits Syst. I, vol. 45, pp. 94-98, Jan. 1998.
10. N. Takahashi and N. O. Chua, "A new sufficient condition for nonsymmetric CNNs to have a stable equilibrium point," IEEE Trans. Circuits Syst. I, vol. 44, pp. 1092-1095, 1997.
11. S. Arik and V. Tavsanoglu, "A sufficient condition for the existence of stable equilibrium point in nonsymmetric cellular neural networks," in Proc. IEEE 5th Int. Workshop on Cellular Neural Networks Applications, London, U.K., Apr. 1998, pp. 74-77.
12. N. Ozcan, S. Arik, and V. Tavsanoglu, "On the existence of equilibrium points in nonsymmetric cellular neural networks," J. Circuits, Syst., Comput., vol. 12, no. 4, pp. 461-471, 2003.
13. L. O. Chua and C. W. Wu, "The universe of stable CNN templates," Int. J. Circuit Theory Applicat., vol. 20, pp. 497-517, 1992.
14. M. Gilli, M. Biey, P. P. Civalleri, and P. Checco, "Complex dynamics in cellular neural networks," in Proc. Int. Workshop Circuits Systems, Sidney, Australia, May 2001.
15. L. O. Chua and T. Roska, "Cellular neural networks with nonlinear and delay-type template elements and nonuniform grids," Int. J. Circuit Theory Applicat., vol. 20, pp. 449-451, 1992.