Improved delay-dependent stability criterion for neural networks with time-varying delay

Applied Mathematics and Computation

Volumn 217, Issue 24, 2011, Pages 10278-10288

  Tian, Junkang ^a   Zhong, Shouming ^a  

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

Author keywords

Delay dependent stability; Linear matrix inequality (LMI); Neural networks; Time varying delay

Indexed keywords

DELAY DEPENDENT STABILITY CRITERION; DELAY-DEPENDENT; DELAY-DEPENDENT STABILITY; FREE-WEIGHTING MATRICES; LINEAR MATRIX INEQUALITY (LMI); LYAPUNOV FUNCTIONALS; NUMERICAL EXAMPLE; OPTIMIZATION APPROACH; TIME-VARYING DELAY;

ASYMPTOTIC STABILITY; CONVEX OPTIMIZATION; LINEAR MATRIX INEQUALITIES; NEURAL NETWORKS; NUMERICAL METHODS; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS;

STABILITY CRITERIA;

EID: 79959199278     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.05.029     Document Type: Article

References (37)

1. J.D. Cao, and L. Wang Exponential stability and periodic oscillatory solution in BAM networks with delays IEEE Trans. Neural Netw. 13 2002 457 463 (Pubitemid 34475046)
2. S. Arik Global asymptotic stability of a larger class of neural networks with constant time delay Phys. Lett. A 311 2002 504 511
3. J.D. Cao, and J. Wang Global asymptotic and robust stability of recurrent neural networks with time delays IEEE Trans. Circuits Syst. I 52 2 2005 417 426 (Pubitemid 40319475)
4. J.H. Park, and O.M. Kwon Further results on state estimation for neural networks of neutral-type with time-varying delay Appl. Math. Comput. 208 2009 69 75
5. R. Samli, and S. Arik New results for global stability of a class of neutral-type neural systems with time delays Appl. Math. Comput. 210 2009 564 570
6. J.K. Tian, and X.B. Zhou Improved asymptotic stability criteria for neural networks with interval time-varying delay Expert Syst. Appl. 37 2010 7521 7525
7. O.M. Kwon, and J.H. Park Exponential stability analysis for uncertain neural networks with interval time-varying delays Appl. Math. Comput. 212 2009 530 541
8. Y. He, G.P. Liu, and D. Rees New delay-dependent stability criteria for neural networks with time-varying delay IEEE Trans. Neural Netw. 18 2007 310 314 (Pubitemid 46062938)
9. Y. He, G. Liu, D. Rees, and M. Wu Stability analysis for neural networks with time-varying interval delay IEEE Trans. Neural Netw. 18 2007 1850 1854
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, J.H. Park, and S.M. Lee On robust stability for uncertain neural networks with interval time-varying delays IET Control Theory Appl. 2 2008 625 634
12. Y. Chen, and Y. Wu Novel delay-dependent stability criteria of neural networks with time-varying delay Neurocomputing 72 2009 1065 1070
13. J. Sun, G.P. Liu, J. Chen, and D. Rees Improved stability criteria for neural networks with time-varying delay Phys. Lett. A 373 2009 342 348
14. W. Qian, T. Li, S. Cong, and S. Fei Improved stability analysis on delayed neural networks with linear fractional uncertainties Appl. Math. Comput. 217 2010 3596 3606
15. O.M. Kwon, and J.H. Park Improved delay-dependent stability criterion for neural networks with time-varying delays Phys. Lett. A 373 2009 529 535
16. Q.K. Song, Z.J. Zhao, and Y.M. Li Global exponential stability of BAM neural networks with distributed delays and reaction diffusion terms Phys. Lett. A 335 2005 213 225
17. S. Arik, and V. Tavsanoglu Global asymptotic stability analysis of bidirectional associative memory neural networks with constant time delays Neurocomputing 68 2005 161 176 (Pubitemid 41235758)
18. S. Arik Global asymptotic stability of hybrid bidirectional associative memory neural networks with time delays Phys. Lett. A 351 2006 85 91 (Pubitemid 43175741)
19. Q. Zhou, and L. Wan Global robust asymptotic stability analysis of BAM neural networks with time delay and impulse: an LMI approach Appl. Math. Comput. 216 2010 1538 1545
20. X.F. Liao, G. Chen, and E.N. Sanchez Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach Neural Netw. 15 2002 855 866 (Pubitemid 35299581)
21. M.S. Mahmoud, and A. Ismail Improved results on robust exponential stability criteria for neutral-type delayed neural networks Appl. Math. Comput. 217 2010 3011 3019
22. C.D. Li, and G. Feng Delay-interval-dependent stability of recurrent neural networks with time-varying delay Neurocomputing 72 2009 1179 1183
23. L. Hu, H. Gao, and W. Zheng Novel stability of cellular neural networks with interval time-varying delay Neural Netw. 21 2008 1458 1463
24. S. Xu, and J. Lam A new approach to exponential stability analysis of neural networks with time-varying delays Neural Netw. 19 2006 76 83 (Pubitemid 43088737)
25. H. Zhao, and J. Cao New conditions for global exponential stability of cellular neural networks with delays Neural Netw. 18 2005 1332 1340 (Pubitemid 41735181)
26. Z. Wang, Y. Liu, M. Li, and X. Liu Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays IEEE Trans. Neural Netw. 17 2006 814 820
27. Z. Guo, and L. Huang LMI conditions for global robust stability of delayed neural networks with discontinuous neuron activations Appl. Math. Comput. 215 2009 889 900
28. J.H. Park, and O.M. Kwon On improved delay-dependent criterion for global stability of bidirectional associative memory neural networks with time-varying delays Appl. Math. Comput. 199 2008 435 446 (Pubitemid 351601855)
29. Z. Guo, and L. Huang LMI conditions for global robust stability of delayed neural networks with discontinuous neuron activations Appl. Math. Comput. 215 2009 889 900
30. S. Mou, H. Gao, J. Lam, and W. Qiang New criterion of delay-dependent asymptotic stability for Hopfield neural networks with time delay IEEE Trans. Neural Netw. 19 2008 532 535 (Pubitemid 351411577)
31. S. Boyd, L. EL. Ghaoui, E. Feron, and V. Balakrishnam Linear Matrix Inequalities in Systems and Control 1994 SIMA Philadelphia
32. O.M. Kwon, and J.H. Park New delay-dependent robust stability criterion for uncertain neural networks with time-varying delays Appl. Math. Comput. 205 2008 417 427
33. O.M. Kwon, and J.H. Park Delay-dependent stability for uncertain cellular neural networks with discrete and distribute time-varying delays J. Franklin Inst. 345 2008 766 778
34. D.H. Ji, J.H. Koo, S.C. Won, S.M. Lee, and J.H. Park Passivity-based control for Hopfield neural networks using convex representation Appl. Math. Comput. 217 2011 6168 6175
35. S.M. Lee, O.M. Kwon, and J.H. Park A novel delay-dependent criterion for delayed neural networks of neutral type Phys. Lett. A 374 2010 1843 1848
36. S.M. Lee, O.M. Kwon, and J.H. Park A new approach to stability analysis of neural networks with time-varying delay via novel Lyapunov-Krasovskii function Chin. Phys. B 19 2010 (050507) 1-6
37. O.M. Kwon, S.M. Lee, and J.H. Park Improved delay-dependent exponential stability for uncertain stochastic neural networks with time-varying delays Phys. Lett. A 374 2010 1232 1241