Stability of Cellular Neural Networks with Dominant Nonlinear and Delay-Type Templates

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 40, Issue 4, 1993, Pages 270-272

  Roska, Tamás ^a   Wu, Chai Wah ^b   Chua, Leon O ^b  

^a INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CELLULAR RADIO SYSTEMS; NUMERICAL ANALYSIS; SYSTEM STABILITY;

CELLULAR NEURAL NETWORKS; DELAY TYPE TEMPLATES;

NEURAL NETWORKS;

EID: 0027582973     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.224300     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, 1988.
2. L. O. Chua and L. Yang, “Cellular neural networks: Applications,” IEEE Trans. Circuits Syst., vol. 35, pp. 1273–1290, 1988.
3. Proc. 1990 IEEE Int. Workshop on Cellular Neural Networks and Their Applications 1990.
4. T. Roska and L. O. Chua, “Cellular neural networks with nonlinear and delay-type template elements,” in Proc. IEEE Int. Workshop on Cellular Neural Networks and Their Applications, pp. 12–25, 1990.
5. W. Heiligenberg and T. Roska, “On biological sensory information processing principles relevant to dual computing CNN’s,” Rep. DNS-4-1992, Dual and Neural Comp. Sys. Res. Lab., Comp. Aut. Inst., Hung. Acad, of Sci., Budapest, Mar. 1992.
6. L. O. Chua and T. Roska, “Stability of a class of nonreciprocal cellular neural networks,” IEEE Trans. Circuits Syst., vol. 37, pp. 1520–1527, 1990.
7. L. O. Chua and C. W. Wu, “On the universe of stable cellular neural networks,” Int. J. Circuit Theory and Applications, vol. 20, 1992.
8. T. Roska, C. W. Wu, M. Balsi, and L. O. Chua, “Stability and dynamics of delay-type general and cellular neural networks,” IEEE Trans. Circuits Syst.-I, vol. 39, pp. 487-490, June 1992.
9. T. Roska, C. W. Wu, M. Balsi, and L. O. Chua, “Stability and dynamics of delay-type and nonlinear cellular neural networks,” ERL Memorandum UCB/ERL M9I/110, Univ. California, Berkeley, 1991.
10. P. P. Civalleri, M. Gilli, and L. Pandolfi, “On stability of cellular neural networks with delay,” Tech. Rep., Politecnico di Torino, 1992.
11. D. G. Kelly, “Stability in contractive nonlinear neural networks,” IEEE Trans. Biomedical Eng., vol. 37, pp. 231–242, Mar. 1990.
12. J. K. Hale, Theory of Functional Differential Equations, vol. 3 of Applied Mathematical Sciences. New York: Springer-Verlag, 1977.
13. T. Roska, “Some qualitative aspects of neural computing circuits,” in Proc. IEEE Int. Symp. Circuits Syst., pp. 751–754, 1988.
14. T. Roska, J. Hamori, E. Lábos, K. Lotz, L. Orzó, J. Takacs, P. Venetianer, Z. Vidnyánszky, and A. Zarándy, “The CNN model in the visual pathway—part II: The amacrine cell in the modified retina model, simple LGN effects, and motion related illusions,” Tech. Rep. DNS-9-1992, Comp. Aut. Inst. Hung. Acad. Sci., Budapest, 1992.
15. Y. Ohta, “Qualitative analysis of nonlinear quasi-monotone dynamical systems described by functional-differential equations,” IEEE Trans. Circuits Syst., vol. CAS-28, pp. 138–144, Feb. 1981.