Stability of Cellular Neural Networks and Delayed Cellular Neural Networks with Nonpositive Templates and Nonmonotonic Output Functions

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

Volumn 41, Issue 8, 1994, Pages 518-528

  Gilli, Marco ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

IMAGE PROCESSING; LYAPUNOV METHODS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; STABILITY; VECTORS;

CELLULAR NEURAL NETWORKS; DELAYED CELLULAR NEURAL NETWORK; NONMONOTONIC OUTPUT FUNCTIONS; NONPOSITIVE TEMPLATES;

NEURAL NETWORKS;

EID: 0028484639     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.311541     Document Type: Article

References (21)

1. L. O. Chua and L. Yang, “Cellular neural networks: Theory,” IEEE Trans. Circuits and Syst., vol. 35, pp. 1257–1272, Oct. 1988.
2. L. O. Chua and L. Yang, “Cellular neural networks: Applications,” IEEE Trans. Circuits and Syst., vol. 35, pp. 1273–1290, Oct. 1988.
3. G. Seiler and M. Hasler, “Convergence of reciprocal cellular neural networks,” Report TUM-LNS-TR-91-92, Technische Universitat Munchen, June 1991.
4. L. O. Chua and T. Roska, “Stability of a class of nonreciprocal cellular neural networks,” IEEE Trans. Circuits and Syst., vol. 37, pp. 1520–1527, Dec. 1990.
5. L. O. Chua and C. W. Wu, “The universe of stable CNN templates,” Int. J. Circuit Theory and Applicat.: Special Issue on Cellular Neural Networks, vol. 20, pp. 497–517, July—August 1992.
6. F. Zou and J. A. Nossek, “Stability of cellular neural networks with opposite-sign templates,” IEEE Trans. Circuits and Syst., vol. 38, pp. 675–677, June 1991.
7. F. Zou and J. A. Nossek, “A chaotic attractor with cellular neural networks,” IEEE Trans. Circuits and Syst., vol. 38, pp. 811–812, July 1991.
8. F. Zou and J. A. Nossek, “Bifurcation and chaos in CNN's,” IEEE Trans. Circuits and Syst., vol. 40, pp. 166–173, Mar. 1993.
9. F. A. Savaci and J. Vandewalle, “On the stability analysis of cellular neural networks,” in IEEE Second Int. Workshop on Cellular Neural Networks and Their Applicat., pp. 240–245, 1992.
10. M. Balsi, “Remarks on the stability and functionality of CNN's with one-dimensional templates,” Report DNS-5-1991, Dual and Neural Computing Systems Laboratory, Hungarian Academy of Sciences, 1991.
11. P. P. Civalleri and M. Gilli, “On the dynamic behavior of two-cell cellular neural networks,” Int. J. Circuit Theory and Applicat., vol. 21, pp. 451–471, 1993.
12. L. O. Chua and T. Roska, “Cellular Neural Networks with nonlinear and delay-type template elements and non-unuform grids,” Int. J. Circuit Theory and Applicat., vol. 20, pp. 449–451, 1992.
13. T. Roska, C. W. Wu, M. Balsi, and L. O. Chua, “Stability and dynamics of delay-type general cellular neural networks,” IEEE Trans. Circuits and Syst., vol. 39, pp. 487–490, 1992.
14. T. Roska, C. W. Wu, M. Balsi, and L. O. Chua, “Stability of CNN's with dominant nonlinear and delay-type templates,” IEEE Trans. Circuits and Syst., vol. 39, pp. 487–490, 1992.
15. P. P. Civalleri, M. Gilli, and L. Pandolfi, “On stability of cellular neural networks with delay,” IEEE Trans. Circuits and Syst., vol. 40, pp. 270–272, Apr. 1993.
16. C. Guzelis and L. O. Chua, “Stability analysis of generalized cellular neural networks,” Int. J. Circuit Theory and Applicat., vol. 21, pp. 1–33, 1993.
17. L. O. Chua and T. Roska, “The CNN paradigm,” IEEE Trans. Circuits and Syst., vol. 40, pp. 147–156, Mar. 1993.
18. M. W. Hirsch, “System of differential equations that are competitive and cooperative II: Convergence almost everywhere,” SIAM J. Math. Anal., vol. 16, pp. 423–439, 1985.
19. J. La Salle and S. Lefschetz, Stability by Liapunov's Direct Method with Applications. New York: Academic Press, 1961.
20. F. Riesz and B. Sz.-Nagy, Functional Analysis. New York: Dover Publications, 1953.
21. J. Dieudonne, Foundations of Modern Analysis. New York: Academic Press, 1969.