Global asymptotic robust stability of static neural network models with S-type distributed delays

Mathematical and Computer Modelling

Volumn 44, Issue 1-2, 2006, Pages 218-222

  Wang, Min ^a   Wang, Linshan ^a  

^a OCEAN UNIVERSITY OF CHINA   (China)

Author keywords

Lebesgue Stieltjes integration; Lyapunov functional; Robust stability; S type distributed delays; Static neural network model

Indexed keywords

ASYMPTOTIC STABILITY; DISTRIBUTED COMPUTER SYSTEMS; LYAPUNOV METHODS; NEURAL NETWORKS; SYSTEM STABILITY; THEOREM PROVING;

LEBESGUE-STIELTJES INTEGRATION; LYAPUNOV FUNCTIONAL; S-TYPE DISTRIBUTED DELAYS; STATIC NEURAL NETWORK MODEL;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 33646201731     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2006.01.013     Document Type: Article

References (9)

1. Xu Z., Qiao H., Peng J., and Zhang B. A comparative study of two modeling approaches in neural networks. Neural Networks 17 (2004) 73-85
2. Qiao H., Peng J., Xu Z., and Zhang B. A reference model approach to stability analysis of neural networks. IEEE Transactions on Systems, Man, and Cybernetics 33 6 (2003) 925-936
3. Hopfield J. Neurons with graded response have collective computational properties like those of two-state neurons. Proceedings of the National Academy of Sciences of the United States of America 81 10 (1984) 3088-3092
4. Wang L., and Xu D. Global asymptotic stability of bidirectional associative memory neural networks with S-type distributed delays. International Journal of Systems Science 33 11 (2002) 869-877
5. Wang L., and Gao Y. On global robust stability for interval Hopfield neural networks with time delay. Annals of Differential Equations 19 3 (2003) 421-426
6. Zhao H. Global exponential stability and periodicity of cellular neural networks with variable delays. Physics Letters A 336 (2005) 331-341
7. Zhao H., and Wang G. Existence of periodic oscillatory solution of reaction-diffusion neural networks with delays. Physics Letters A 343 (2005) 372-383
8. Wang M., and Wang L. Global asymptotic stability of static neural network models with S-type distributed delays. Journal of Shandong University 40 Suppl. (2005) 5-8
9. Hale J.K. Theory of Functional Differential Equations (1977), Springer-Verlag, New York Inc.