Delay-dependent stability of neural networks of neutral type with time delay in the leakage term

Nonlinearity

Volumn 23, Issue 7, 2010, Pages 1709-1726

  Li, Xiaodi ^a   Cao, Jinde ^b  

^a XIAMEN UNIVERSITY   (China)

^b SOUTHEAST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77953835896     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/23/7/010     Document Type: Article

References (39)

1. Chua L and Yang L 1988 Cellular neural networks: theory and applications IEEE Trans. Circuits Syst. I 35 1257-90
2. De Vries B and Principe J 1992 The gamma model-a new neural model for temporal processing Neural Networks 5 565-76
3. Marcus C and Westervelt R 1989 Stability of analog neural networks with delays Phys. Rev. A 39 347-59
4. Cannas B, Cincotti S, Marchesi M and Pilo F 2001 Learning of Chua's circuit attractors by locally recurrent neural networks Chaos Solitons Fractals 12 2109-15
5. Driessche P and Zou X 1998 Global attractivity in delayed Hopfield neural network models SIAM J. Appl. Math. 58 1878-90
6. Cao J and Li X 2005 Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach Physica D: Nonlinear Phenom. 212 54-65 (Pubitemid 41617923)
7. Arik S 2005 Global robust stability analysis of neural networks with discrete time delays Chaos Solitons Fractals 26 1407-14 (Pubitemid 40821868)
8. Cao J and Wang J 2005 Global asymptotic and robust stability of recurrent neural networks with time delays IEEE Trans. Circuits Syst. I 52 417-26 (Pubitemid 40319475)
9. Cao J, Feng G and Wang Y 2008 Multistability and multiperiodicity of delayed Cohen-Grossberg neural networks with a general class of activation functions Physica D: Nonlinear Phenom. 237 1734-49
10. Cao J and Song Q 2006 Stability in Cohen-Grossberg type BAM neural networks with time-varying delays Nonlinearity 19 1601-17
11. Xu S and Lam J 2006 A new approach to exponential stability analysis of neural networks with time-varying delays Neural Networks 19 76-83 (Pubitemid 43088737)
12. Li X and Chen Z 2009 Stability properties for Hopfield neural networks with delays and impulsive perturbations Nonlinear Anal.: Real World Appl. 10 3253-65
13. Li X 2009 Global exponential stability of Cohen-Grossberg-type BAM neural networks with time-varying delays via impulsive control Neurocomputing 73 525-30
14. Liu P, Yi F, Guo Q, Yang J and Wu W 2008 Analysis on global exponential robust stability of reaction-diffusion neural networks with S-type distributed delays Physica D: Nonlinear Phenom. 237 475-85 (Pubitemid 351318014)
15. Cao J, Yuan K and Li H 2006 Global asymptotical stability of generalized recurrent neural networks with multiple discrete delays and distributed delays IEEE Trans. Neural Networks 17 1646-51 (Pubitemid 44824277)
16. Li X 2009 Existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays Appl. Math. Comput. 215 292-307
17. Gopalsamy K 2007 Leakage delays in BAM J. Math. Anal. Appl. 325 1117-32
18. Gopalsamy K 1992 Stability and Oscillations in Delay Differential Equations of Population Dynamics (Dordrecht: Kluwer)
19. Kosko B 1992 Neural Networks and Fuzzy Systems (New Delhi: Prentice-Hall)
20. Peng S 2010 Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms Nonlinear Anal.: Real World Appl. 11 2141-51
21. Boyd S, El Ghaoui L, Feron E and Balakrishnan V 1994 Linear Matrix Inequalities in System and Control Theory (Philadelphia: SIAM)
22. Park J, Kwon O and Lee S 2008 LMI optimization approach on stability for delayed neural networks of neutral-type Appl. Math. Comput. 196 236-44
23. Li X 2010 Global robust stability for stochastic interval neural networks with continuously distributed delays of neutral type Appl. Math. Comput. 215 4370-84
24. Xu S, Lam J, Ho D and Zou Y 2005 Delay-dependent exponential stability for a class of neural networks with time delays J. Comput. Appl. Math. 183 16-28 (Pubitemid 40970398)
25. Park J and Kwon O 2009 Global stability for neural networks of neutral-type with interval time-varying delays Chaos Solitons Fractals 41 1174-81
26. Park J and Kwon O 2009 Synchronization of neural networks of neutral type with stochastic perturbation Mod. Phys. Lett. B 23 1743-51
27. Rakkiyappan R and Balasubramaniam P 2008 New global exponential stability results for neutral type neural networks with distributed time delays Neurocomputing 71 1039-45
28. Rakkiyappan R, Balasubramaniam P and Cao J 2010 Global exponential stability results for neutral-type impulsive neural networks Nonlinear Anal.: Real World Appl. 11 122-30
29. Rakkiyappan R and Balasubramaniam P 2008 LMI conditions for global asymptotic stability results for neutral-type neural networks with distributed time delays Appl. Math. Comput. 204 317-24
30. Zhu J, Zhang Q and Yang C 2009 Delay-dependent robust stability for Hopfield neural networks of neutral-type Neurocomputing 72 2609-17
31. Li T, Fei S and Zhu Q 2009 Design of exponential state estimator for neural networks with distributed delays Nonlinear Anal.: Real World Appl. 10 1229-42
32. Guo D 1985 Nonlinear Functional Analysis (Jinan: Shundong Sci. Tech. Press)
33. Gu K 2000 An integral inequality in the stability problem of time-delay systems Proc. 39th IEEE Conf. on Decision and Control (Sydney, Australia) pp 2805-10
34. Park J 2009 Synchronization of cellular neural networks of neutral type via dynamic feedback controller Chaos Solitons Fractals 42 1299-304
35. Park J, Park C, Kwon O and Lee S 2008 A new stability criterion for bidirectional associative memory neural networks of neutral-type Appl. Math. Comput. 199 716-22
36. Niculescu S 2001 Delay Effects on Stability: A Robust Control Approach (New York: Springer)
37. Hale J and Lunel S 2002 Strong stabilization of neutral functional differential equations IMA J. Math. Control Inform. 19 5-23
38. Hale J 1977 Theory of Functional Differential Equations (New York: Springer)
39. Haykin S 1994 Neural Networks (Englewood Cliffs, NJ: Prentice-Hall)