Global exponential stability of fuzzy Cohen-Grossberg neural networks with variable delays

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4491 LNCS, Issue PART 1, 2007, Pages 890-896

  Zhang, Jiye ^a   Zhang, Keyue ^a   Ren, Dianbo ^a  

^a SOUTHWEST JIAOTONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; FUZZY SETS; LYAPUNOV FUNCTIONS; TIME DELAY;

DIFFERENTIAL INEQUALITIES; TIME-VARYING DELAYS;

FUZZY NEURAL NETWORKS;

EID: 37249009614     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-72383-7_103     Document Type: Conference Paper

References (15)

1. Cohen, M.A. and Grossberg, S.: Absolute Stability and Global Pattern Formation and Parallel Memory Storage by Competitive Neural Networks. IEEE Trans. Syst., Man, Cybern. 13(1983) 815-826.
2. Arik, S.: An Improved Global Stability Result for Delayed Cellular Neural Networks. IEEE Trans. Circuits and Systems 149 (2002) 1211-1214.
3. Forti, M. and Tesi, A.: New Conditions for Global Stability of Neural Networks with Application to Linear and Quadratic Programming Problems. IEEE Trans. Circuits and Systems I 42 (1995) 354-366.
4. Zhang, J.: Globally Exponential Stability of Neural Networks with Variable Delays. IEEE Trans. Circuits and Systtems I 50 (2003) 288-291.
5. Xu, D., Zhao, H. and Zhu, H.: Global Dynamics of Hopfield Neural Networks Involving Variable Delays. Computers and Mathematics with Applications 42 (2001) 39-45.
6. Wang, L. and Zou, X.: Exponential Stability of Cohen-Grossberg Neural Networks. Neural Networks 15 (2002) 415-422.
7. Chen, T. and Rong, L.: Robust Global Exponential Stability of Cohen- Grossberg Neural Networks with Time-Delays. IEEE Trans. Neural Networks 15 (2004) 203-206.
8. Xiong, W. and Cao, J.: Absolutely Exponential Stability of Cohen-Grossberg Neural Networks with Unbounded Delays. Neurocomputing 68 (2005) 1-12.
9. Song, Q. and Cao, J.: Stability Analysis of Cohen-Grossberg Neural Network with Both Time-Varying and Continuously Distributed Delays, Journal of Computational and Applied Mathematics 197 (2006) 188-203.
10. Zhang, J., Suda, Y. and Komine, H.: Global Exponential Stability of Cohen-Grossberg Neural Networks with Variable Delays. Phys. Lett. A 338 (2005) 44-50.
11. Yang, T. and Yang, L.B.: Exponential Stability of Fuzzy Cellular Neural Networks with Constant and Time-Varying Delays. IEEE Trans. Circuits and Systems I 43 (1996) 880-883.
12. Yang, T. and Yang, I.B.: Fuzzy Cellular Neural Networks: A New Paradigm for Image Processing. Int. J. Circ. Theor. Appl. 25 (1997) 469-481.
13. Liu, Y. and Tang, W.: Exponential Stability of Fuzzy Cellular Neural Networks with Constant and Time-Varying Delays. Phys. Lett. A 323 (2004) 224-233.
14. Zhang, J., Ren, D. and Zhang, W.: Global Exponential Stability of Fuzzy Cellular Neural Networks with Variable Delays. Lecture Notes in Computer Science 3971 (2006) 236-242.
15. Yuan, K., Cao, J. and Deng, J.: Exponentially Stability and Periodic Solutions of Fuzzy Cellular Neural Networks with Time-Varying Delays. Neurocomputing 69 (2006) 1619-1627.