Improved exponential stability analysis for delayed recurrent neural networks

Journal of the Franklin Institute

Volumn 348, Issue 2, 2011, Pages 201-211

  Mahmoud, Magdi S ^a   Xia, Yuanqing ^b  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

^b BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DELAY DEPENDENT; DELAYED RECURRENT NEURAL NETWORKS; EXPONENTIAL STABILITY; GLOBAL EXPONENTIAL STABILITY; INTEGRAL INEQUALITIES; INTERVAL TIME; LYAPUNOV-KRASOVSKII FUNCTIONALS; NUMERICAL EXAMPLE;

EXPONENTIAL FUNCTIONS; HOPFIELD NEURAL NETWORKS; LINEAR MATRIX INEQUALITIES; STABILITY CRITERIA;

CELLULAR NEURAL NETWORKS;

EID: 79251601212     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2010.11.002     Document Type: Article

References (32)

1. S. Arik An analysis of exponential stability of delayed neural networks with time-varying delays Neural Netw. 17 2004 1027 1031
2. J.D. Cao Periodic-solutions and exponential stability in delayed cellular neural networks Phy. Rev. E 60 3 1999 3244 3248
3. R. Cau, C. Lien, and J.W. Hsieh Global exponential stability for uncertain cellular neural networks with multiple time-varying delays via LMI approach Chaos Solitons Fractals 31 4 2007 1258 1267
4. H.J. Cho, and J.H. Park Novel delay-dependent robust stability criterion of delayed cellular neural networks Chaos Solitons Fractals 32 5 2007 1194 1200
5. K. Gu, V.L. Kharitonov, and J. Chen Stability of Time-Delay Systems 2003 Birkhauser Boston
6. H. Gu, H. Jiang, and Z. Teng Existence and global exponential stability of equilibrium of competitive neural networks with different time-scales and multiple delays J. Franklin Inst. 347 2010 719 731
7. P. Gupta, and N.K. Sinha An improved approach for nonlinear system identification using neural networks J. Franklin Inst. 336 1999 721 734
8. Y. He, M. Wu, and J.H. She Delay-dependent exponential stability of delayed neural networks with time-varying delays IEEE Trans. Circuits Syst. II Exp. Briefs 53 7 2006 553 557
9. Y. He, G.P. Liu, and D. Rees New delay-dependent stability criteria for neutral networks with time-varying delays IEEE Trans. Neural Netw. 18 1 2007 310 314
10. C.C. Hua, C.N. Long, and X.P. Guan New results on stability analysis of neural networks with time-varying delays Phys. Lett. A 352 2006 335 340
11. O.M. Kwon, and J.H. Park New delay-dependent robust stability criterion for uncertain neural networks with time-varying delays Appl. Math. Comput. 185 2008
12. O.M. Kwon, and J.H. Park Delay-dependent stability for uncertain neural networks with discrete and distribute time-varying delays J. Franklin Inst. 345 2008 766 778
13. X. Liao, G. Chen, and E.N. Sanchez Delay dependent exponential stability analysis of delayed neural networks: an LMI approach Neural Netw. 15 7 2002 855 866
14. X. Liao, J. Wang, and Z. Zeng Global asymptotic stability and global exponential stability of delayed cellular neural networks IEEE Trans. Circuits Syst. II Exp. Briefs 52 7 2005 403 409
15. C.Y. Lu, T.J. Wang, and S.S. Huang Delay-dependent stability analysis for recurrent neural networks with time-varying delays Proc. IET Control Theory Appl. 8 2 2008 736 742
16. M.S. Mahmoud Robust Control and Filtering for Time-Delay Systems 2000 Marcel-Dekker New York
17. M.S. Mahmoud, and A. Ismail New results on delay-dependent control of time-delay systems IEEE Trans. Autom. Control 50 2005 95 100
18. S. Mou, H. Gao, W. Qiang, and K. Chen New delay-dependent exponential stability for neural networks with time delay IEEE Trans. Syst. Man Cybern. Part B 38 2 2008 571 576
19. J. Qiu, J. Zhang, J. Wang, Y. Xia, and P. Shi A new global robust stability criteria for uncertain neural networks with fast time-varying delays Chaos Solitons Fractals 37 2008 360 368
20. H. Qiu, and J. Cao Delay-dependent exponential stability for a class of neural networks with time-delays and reaction-diffusion terms J. Franklin Inst. 346 2009 301 314
21. V. Singh Global robust stability of delayed cellular neural networks: an LMI approach IEEE Trans. Circuits Syst. II Exp. Briefs 52 1 2005 33 36
22. N. Takahashi A new sufficient condition for complete stability of cellular neural networks with delay IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 47 6 2000 793 799
23. M. Wu, F. Liu, P. Shi, Y. He, and R. Yokoyama Exponential stability analysis for neural networks with time-varying delays IEEE Trans. Syst. Man Cybern. Part B 38 4 2008 1152 1156
24. S. Xu, Y. Chu, and J. Lu New results on global exponential stability of recurrent neural networks with time-varying delays Phys. Lett. A 352 2006 371 379
25. S. Xu, J. Lam, and D.W.C. Ho Delay-dependent asymptotic stability of neural networks with time-varying delays Int. J. Bifurcation Chaos Appl. Sci. Eng. 18 2008 245 250
26. S. Xu, S.W. Zheng, and Y. Zou Passivity analysis of neural networks with time-varying delays IEEE Trans. Circuits Syst. II Exp. Briefs 56 2009 325 329
27. Z. Yi, P.A. Heng, and K.S. Leung Convergence analysis of cellular neural networks with unbounded delay IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 48 6 2001 680 687
28. G.J. Yu, C.Y. Lu, J.S. Tsai, T.J. Su, and B.D. Liu Stability of cellular neural networks with time-varying delay IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 50 2003 677 679
29. H. Yue, Q.L. Han, and J. Lam Networked-based robust H ∞ control of systems with uncertainty Automatica 41 2005 999 1007
30. Q. Zhang, R. Ma, C. Wang, and J. Xu Delay-dependent exponential stability of cellular neural networks with time-varying delays Chaos Solitons Fractals 23 2005 1363 1369
31. Z. Zhang, and D. Zhou Existence and global exponential stability of a periodic solution for a discrete-time interval general bam neural networks J. Franklin Inst. 347 2010 763 780
32. Q. Zhu, and J. Cao Stability analysis for stochastic neural networks of neutral type with both Markovian jump parameters and mixed time delays Neurocomputing 73 2010 2671 2680