Exponential stability and periodicity of cellular neural networks with time delay

Mathematical and Computer Modelling

Volumn 45, Issue 9-10, 2007, Pages 1231-1240

  Zhong, Shouming ^a,b   Liu, Xinzhi ^b  

^a UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Delayed cellular neural networks; Exponential stability; Partitioned matrices; Periodicity

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; FUNCTIONS; LYAPUNOV METHODS; PROBLEM SOLVING;

DELAYED CELLULAR NEURAL NETWORKS (DCNN); EXPONENTIAL STABILITY; PARTITIONED MATRICES; PERIODICITY;

NEURAL NETWORKS;

EID: 33846342654     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2006.10.004     Document Type: Article

References (12)

1. Chua L.O., and Yang L. Cellular neural networks: Theory. IEEE Trans. Circuits Syst. 35 (1988) 1257-1272
2. Roska T., and Chua L.O. Cellular neural networks with nonlinear and delay type template elements and non-uniform grids. Internat. J. Circuit Theory Appl. 20 (1992) 469-481
3. L.O. Chua, T. Roska, Cellular neural networks with nonlinear and delay-type template elements, in: Proc. 1990 IEEE Int. Workshop cellular Neural networks Applications, pp. 12-25
4. Roska T., Wu C.W., Balsi M., and Chua L.O. Stability and dynamics of delay-type general and cellular neural networks. IEEE Trans. Circuits Syst. 39 (1992) 487-490
5. Civalleri P.P., Gilli M., and Pandolfi L. On stability of cellular neural networks with delay. IEEE Trans. Circuits Syst. I 40 (1993) 157-165
6. Takahshi N. A new sufficient condition for complete stability of cellular neural networks with delay. IEEE Trans. Circuits Syst. I 47 (2000) 793-799
7. Takahashi N., and Chua L.O. On the complete stability of non-symmetric cellular neural networks. IEEE Trans. Circuits Syst. I 45 (1998) 754-758
8. Chua L.O., and Roska T. Stability of a class of nonreciprocal cellular neural networks. IEEE Trans. Circuits Syst. 37 (1990) 1520-1527
9. Arik S., and Tavsanglu V. On the global asymptotic stability of delayed cellular neural networks. IEEE Trans. Circuits Syst. I 47 (2000) 571-574
10. Li X.M., Huang L.H., and Wu J.H. Further results on the stability of delayed cellular neural networks. IEEE Trans. Circuits Syst. I 50 (2003) 1239-1242
11. Cao J.D., and Wang J. Global exponential stability and periodicity of recurrent neural networks with time delays. IEEE Trans. Circuits Syst. I 52 (2005) 920-931
12. Roska T., Wu C.W., and Chua L.O. Stability of cellular neural networks with dominant nonlinear and delay-type template. IEEE Trans. Circuits Syst. I 40 (1993) 270-272