Stability of 1-D-CNN's with Dirichlet boundary conditions and global propagation dynamics

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

Volumn 47, Issue 6, 2000, Pages 785-792

  De Sandre, Guido ^a,b  

^a POLITECNICO DI MILANO   (Italy)

^b STMICROELECTRONICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SYSTEMS PROGRAMMING; THEOREM PROVING;

DIRICHLET BOUNDARY CONDITIONS; GLOBAL PROPAGATION DYNAMICS;

CELLULAR NEURAL NETWORKS;

EID: 0034205836     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.852930     Document Type: Article

References (13)

1. L. O. Chua and L. Yang, "Cellular neural networks: Theory," IEEE Trans. Circuits Syst.. vol. 32, pp. 1257-1272, Oct. 1988.
2. _, "Cellular neural networks: Applications," IEEE Trans. Circuits Syst., vol. 32, pp. 1273-1290, Oct. 1988.
3. T. Matsumoto, L. O. Chua, and H. Suzuki, "CNN cloning template: Connected component detector," IEEE Trans. Circuits Syst., vol. 37, pp. 633-635, 1990.
4. H. Suzuki, T. Matsumoto, and L. O. Chua, "A CNN handwritten character recognizer," Int. J. Circuit Theory Appl., vol. 20, pp. 601-612, 1992.
5. P. Szolgay, G. Vörös, and G. Eröss, "On the applications of the cellular neural network paradigm in mechanical vibrating systems," IEEE Trans. Circuits Syst., vol. 40, pp. 222-227, Mar. 1993.
6. S. Paul, K. Hiiper, J. A. Nossek, and L. O. Chua, "Mapping nonlinear lattice equations onto cellular neural networks," IEEE Trans. Circuits Syst., vol. 40, pp. 196-203, Mar. 1993.
7. L. O. Chua and T. Roska, "Stability of a class of nonreciprocal cellular neural networks," IEEE Trans. Circuits Syst., vol. 37, pp. 1520-1527, Dec. 1990.
8. L. O. Chua and C. W. Wu, "The universe of stable CNN templates," Int. J. Circuit Theory Appl., vol. 20, pp. 497-517, July-Aug. 1992.
9. F. Zou and J. A. Nossek, "Stability of opposite-sign templates," IEEE Trans. Circuits Syst., vol. 38, pp. 675-677, Dec. 1991.
10. P. P. Civalleri and M. Gilli, "On the dynamic behavior of two-cell cellular neural networks," Int. J. Circuit Theory Appl., vol. 21, pp. 451-471, 1993.
11. P. Thiran, Dynamics and Self-Organization of Locally Coupled Neural Networks. Lausanne, Switzerland: Presses Polytechniques et Universitaires Romandes, 1997.
12. M. P. Joy and V. Tavsanoglu, "A new parameter range for the stability of opposite-sign cellular neural networks," IEEE Trans. Circuits Syst., vol. 40, pp. 204-207, Mar. 1993.
13. M. Balsi, "Stability of cellular neural networks with one-dimensional templates," Int. J. J. Circuit Theory Appl., vol. 21, pp. 293-297, 1993.