Novel delay-dependent exponential stability analysis for a class of delayed neural networks

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

Volumn 4113 LNCS - I, Issue , 2006, Pages 216-226

  Zuo, Zhiqiang ^a   Wang, Yijing ^a  

^a TIANJIN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; PROBLEM SOLVING; SYSTEM STABILITY;

EXPONENTIAL STABILITY; LINEAR MATRIX; LYAPUNOV KRASOVSKII FUNCTIONAL;

NEURAL NETWORKS;

EID: 33749551150     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11816157_21     Document Type: Conference Paper

References (19)

1. Chua, L.O., Yang, L.: Cellular neural networks: theory and applications. IEEE Trans. Circuits Syst I 35 (1988) 1257-1290
2. Roska, T., Chua, L.O.: Cellular neural networks with nonlinear and delay-type template. Int. J. Circuit Theory Appl. 20 (1992) 469-481
3. Zhang, Q., Ma, R., Xu, J.: Stability of cellular neural networks with delay. Electron Lett. 37 (2001) 575-576
4. Cao, J.: A set of stability criteria for delayed cellular neural networks. IEEE Trans. Circuits Syst. I 48 (2001) 494-498
5. Arik, S.: An improved global stability result for delayed cellular neural networks. IEEE Trans. Circuits Syst. I 49 (2002) 1211-1214
6. Chu, T. G.: Necessary and sufficient condition for absolute stability of normal neural networks. Neural Networks 16 (2003) 1223-1227
7. Chu, T. G.: A decomposition approach to analysis of competitiveCcooperative neural networks with delay. Physics Letters A 312 (2003) 339-347
8. Liao, X.F., Li, C.D.: An LMI approach to asymptotical stability of multi-delayed neural networks. Physica D 200 (2005) 139-155
9. Rong, L.B: LMI approach for global periodicity of neural networks with time-varying delays, IEEE Trans. Circuits Syst. I 52 (2005) 1451-1458
10. Arik, S.: An analysis of exponential stability of delayed neural networks with time-varying delays. Neural Networks 17 (2004) 1027-1031
11. Hunag, X., Cao, J., Huang, D.: LMI-based approach for delay-dependent exponential stability analysis of BAM neural networks. Chaos, Solitons and Fractals 24 (2005) 885-898
12. Li, C. D., Liao, X. F., Zhang, R.: Delay-dependent exponential stability analysis of bi-directional associative memory neural networks with time delay: an LMI approach. Chaos, Solitons and Fractals 24 (2005) 1119-1134
13. Li, Y.K.: Global exponential stability of BAM neural networks with delays and impulses. Chaos Solitons Fractals 24 (2005) 279-285
14. Liao, X. F., Chen, G., Sanchez, E.N.: Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach. Neural Networks 15 (2002) 855-866
15. Chu, T. G.: An exponential convergence estimate for analog neural networks with delay. Physics Letters A 283 (2001) 113-118
16. Xu, S., Lam, J., Ho, D. W. C., Zou, Y., Global robust exponential stability analysis for interval recurrent neural networks. Physics Letters A 325 (2004) 124-133
17. Zhang, Q., Wei, X., Xu, J.: Delay-dependent exponential stability of cellular neural networks with time-varying delays. Chaos, Solitons and Fractals 23 (2005) 1363-1369
18. Xu, S., Lam, J., Ho, D. W. C., Zou, Y., Delay-dependent exponential stability for a class of neural networks with time delays. Journal of Computational and Applied Mathematics 183 (2005) pp. 16-28
19. Boyd, S., El Ghaoui, L., Feron, E., Balakrishnan, V.: Linear Matrix Inequalities in Systems and Control Theory. SIAM, Philadelphia (1994)