Improved stability analysis on delayed neural networks with linear fractional uncertainties

Applied Mathematics and Computation

Volumn 217, Issue 7, 2010, Pages 3596-3606

  Qian, Wei ^a   Li, Tao ^b   Cong, Shen ^c   Fei, Shumin ^b  

^a HENAN POLYTECHNIC UNIVERSITY   (China)

^b SOUTHEAST UNIVERSITY   (China)

^c HEILONGJIANG UNIVERSITY   (China)

Author keywords

Delay dependent; Distributed delay; Generalized neural networks; Linear matrix inequality (LMI); Robust stability; Time varying interval delay

Indexed keywords

DELAY-DEPENDENT; DISTRIBUTED DELAYS; GENERALIZED NEURAL NETWORK; LINEAR MATRIX INEQUALITY (LMI); ROBUST STABILITY; TIME VARYING;

DELAY CONTROL SYSTEMS; FREQUENCY SELECTIVE FADING; LYAPUNOV FUNCTIONS; NEURAL NETWORKS; ROBUSTNESS (CONTROL SYSTEMS); STABILITY CRITERIA; TIME VARYING NETWORKS; TIME VARYING SYSTEMS; UNCERTAIN SYSTEMS; UNCERTAINTY ANALYSIS;

LINEAR MATRIX INEQUALITIES;

EID: 78049270859     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.09.014     Document Type: Article

References (33)

1. Q. Song, and J. Cao Robust stability in Cohen-Grossberg neural network with doth time-varying and distributed delays Neural Process Lett. 27 2008 179 196
2. S. Senan, and S. Arik Global robust stability of bidirectional associative memory neural networks with multiple time delays IEEE Trans. Syst. Man Cybern. B 37 2007 1375 1381
3. X. Zhang, and Q. Han New Lyapunov-Krasovskii functionals for global asymptotic stability of delayed neural networks IEEE Trans. Neural Networks 20 2009 533 539
4. M. Syed, and A.P. Balasubramaniam Stability analysis of uncertain fuzzy Hopfield neural networks with time delays Commun. Nonlinear Sci. Numer. Simul. 14 2009 2776 2783
5. K. Song, and J. Cao Impulsive effects on stability of fuzzy Cohen-Grossberg neural networks with time-varying delays IEEE Trans. Syst. Man Cybern. Part B 37 2007 733 741
6. R. Liu, Z. Wang, and X. Liu On global sability of delayed BAM stochastic neural networks with Markovian switching Neural Process Lett. 30 2009 19 35
7. E. Yucel, and S. Arik Novel results for global robust stability of delayed neural networks Chaos Soliton. Fract. 39 2009 1604 1614
8. N. Ozcan, and S. Arik A new sufficient condition for global robust stability of bidirectional associative memory neural networks with multiple time delays Nonlinear Anal: RealWorld Appl. 10 2009 3312 3320
9. W. Chen, and W. Zheng Improved delay-dependent asymptotical stability criteria for delayed neural networks IEEE Trans. Neural Networks-II 19 2008 2154 2161
10. M. Wu, F. Liu, and P. Shi Exponential stability analysis for neural networks with time-varying delay IEEE Trans. Syst. Man Cybern. Part B 38 2008 1152 1156
11. V. Singh Improved global robust stability for interval-delayed Hopfield neural networks Neural Process Lett. 27 2008 257 265
12. R. Yang, H. Gao, and P. Shi Novel robust stability criteria for stochastic Hopfield neural networks with time delays IEEE Trans. Syst. Man Cybern. Part B 39 2009 467 474
13. S. Mou, H. Gao, and W. Qiang New delay-dependent exponential stability for neural networks with time delay IEEE Trans. Syst. Man Cybern. Part B 2008 571 576
14. O.M. Kwon, J.H. Park, and S.M. Lee On robust stability for uncertain neural networks with interval time-varying delays IET Control Theor. Appl. 2 2008 625 634
15. 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
16. Y. Hou, T. Liao, C. Lien, and J. Yan Stability analysis of neural networks with interval time-varying delays Chaos Solition. Fract. 17 2007 103 120
17. Y. He, G. Liu, D. Rees, and M. Wu Stability analysis for neural networks with time-varying interval delay IEEE Trans. Neural Networks 18 2007 1850 1854
18. L. Hu, H. Gao, and W. Zheng Novel stability of cellular neural networks with interval time-varying delay Neural Networks 21 2008 1458 1463
19. R. Rakkiyappan, P. Balasubramaniam, and S. Lakshmanan Robust stability results for uncertain stochastic neural networks with discrete interval and distributed time-varying delays Phys. Lett. A 273 2008 5290 5298
20. R. Song, and Z. Wang Neural networks with discrete and distributed time-varying delays: A general stability analysis Chaos Soliton. Fract. 37 2008 1538 1547
21. R. Rakkiyappan, and P. Balasubramaniam Delay-dependent robust stability analysis for Markovian jumping stochastic Cohen-Grossberg neural networks with discrete interval and distributed time-varying delays Nonlinear Anal: Hybrid Syst. 3 2009 207 214
22. R. Rakkiyappan, and P. Balasubramaniam Delay-dependent robust stability analysis of uncertain stochastic neural networks with discrete interval and distributed time-varying delays Neurocomputing 72 2009 3231 3237
23. M. Gao, and B. Cui Global robust stability of neural networks with multiple discrete delays and distributed delays Chaos Soliton. Fract. 40 2009 1823 1834
24. Z. Wang, H. Shu H, and R. Liu Robust stability analysis of generalized neural networks with discrete and distributed time delays Chaos Soliton. Fract. 30 2006 886 896
25. Z. Wang, D. Liu, and H. Zhang Global asymptotic stability and robust stability of a class of Cohen-Grossberg neural networks with mixed delays IEEE Trans. Circ. Syst-I. 56 2009 616 629
26. T. Li, and S. Fei Stability analysis of Cohen-Grossberg neural networks with time-varying and distributed delays Neurocomputing 71 2008 1069 1081
27. Z. Wang, H. Zhang, and W. Yu Robust stability of Cohen-Grossberg neural networks via state transmission matrix IEEE Trans. Neural Networks. 20 2009 169 174
28. D. Yue, E. Tian, Y. Zhang, and C. Peng Delay-distribution-dependent stability and stabilization of T-S fuzzy systems with probabilistic interval delay IEEE Trans. Syst. Man Cybern. Part B 39 2009 503 516
29. ∞ control and quadratic stabilization of switched linear systems with linear fractional uncertainties via output feedback Nonlinear Anal: Hybrid Syst. 2 2008 18 27
30. 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
31. 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
32. 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
33. 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