A new robust stability criterion for dynamical neural networks with multiple time delays

Neurocomputing

Volumn 99, Issue , 2013, Pages 290-297

  Faydasicok, Ozlem ^a   Arik, Sabri ^b  

^a ISTANBUL UNIVERSITY   (Turkey)

^b ISIK UNIVERSITY   (Turkey)

Author keywords

Delayed systems; Lyapunov functionals; Neural networks; Stability analysis

Indexed keywords

ACTIVATION FUNCTIONS; DELAYED NEURAL NETWORKS; DELAYED SYSTEMS; DYNAMICAL NEURAL NETWORKS; EQUILIBRIUM POINT; GLOBAL ASYMPTOTIC STABILITY; LIPSCHITZ CONTINUOUS; LYAPUNOV FUNCTIONALS; LYAPUNOV STABILITY THEOREM; MAPPING THEOREM; MULTIPLE TIME DELAY; NETWORK PARAMETERS; NEURAL SYSTEMS; NUMERICAL EXAMPLE; PARAMETER UNCERTAINTY; ROBUST STABILITY; STABILITY ANALYSIS;

ROBUSTNESS (CONTROL SYSTEMS); STABILITY CRITERIA; TIME DELAY;

NEURAL NETWORKS;

ARTICLE; ARTIFICIAL NEURAL NETWORK; EQUILIBRIUM CONSTANT; NEUROTRANSMISSION; PRIORITY JOURNAL; TIME SERIES ANALYSIS;

EID: 84867880034     PISSN: 09252312     EISSN: 18728286     Source Type: Journal    
DOI: 10.1016/j.neucom.2012.07.004     Document Type: Article

References (40)

1. Faydasicok O., Arik S. Further analysis of global robust stability of neural networks with multiple time delays. J. Franklin Inst. 2011, 349(3):813-825.
2. Ozcan N., Arik S. An analysis of global robust stability of neural networks with discrete time delays. Phys. Lett. A 2006, 359(5):445-450.
3. Ozcan N. A new sufficient condition for global robust stability of delayed neural networks. Neural Process. Lett. 2011, 34(3):305-316.
4. Liao X.F., Yu J. Robust stability for interval Hopfield neural networks with time delay. IEEE Trans. Neural Networks 1998, 9(5):1042-1045.
5. Sun C., Feng C.B. Global robust exponential stability of interval neural networks with delays. Neural Process. Lett. 2003, 17(1):107-115.
6. Liao X.F., Wong K.W., Wu Z., Chen G. Novel robust stability for interval-delayed Hopfield neural. IEEE Trans. Circuits Syst. I 2001, 48(11):1355-1359.
7. Chen A., Cao J., Huang L. Global robust stability of interval cellular neural networks with time-varying delays. Chaos Solitons Fractals 2005, 23(3):787-799.
8. Li X., Cao J. Global exponential robust stability of delayed neural networks. Int. J. Bifurcation Chaos 2004, 14(8):2925-2931.
9. Ensari T., Arik S. New results for robust stability of dynamical neural networks with discrete time delays. Expert Syst. Appl. 2010, 27(8):5925-5930.
10. Singh V. Global robust stability of delayed neural networks: estimating upper limit of norm of delayed connection weight matrix. Chaos Solitons Fractals 2007, 32(1):259-263.
11. Shao J.L., Huang T.Z., Wang X.P. Improved global robust exponential stability criteria for interval neural networks with time-varying delays. Expert Syst. Appl. 2011, 38(12):15587-15593.
12. Hu Z., Su H., Chu J., Zhou W. New results on robust exponential stability for discrete recurrent neural networks with time-varying delays. Neurocomputing 2009, 72(13-15):3337-3342.
13. Deng F., Hua M., Liu X., Peng Y., Fei J. Robust delay-dependent exponential stability for uncertain stochastic neural networks with mixed delays. Neurocomputing 2011, 74(10):1503-1509.
14. Huang T. Robust stability of delayed fuzzy Cohen-Grossberg neural networks. Comput. Math. Appl. 2011, 61(8):2247-2250.
15. Mahmoud M.S. Novel robust exponential stability criteria for neural networks. Neurocomputing 2009, 73(1-3):331-335.
16. Mahmoud M.S., Ismail A. Improved results on robust exponential stability criteria for neutral-type delayed neural networks. Appl. Math. Comput. 2010, 217(7):3011-3019.
17. Wang Z., Liu Y., Liu X., Shi Y. Robust state estimation for discrete-time stochastic neural networks with probabilistic measurement delays. Neurocomputing 2010, 74(1-3):256-264.
18. Balasubramaniam P., Ali M.S. Robust stability of uncertain fuzzy cellular neural networks with time-varying delays and reaction diffusion terms. Neurocomputing 2010, 74(1-3):439-446.
19. Li X. Global robust stability for stochastic interval neural networks with continuously distributed delays of neutral type. Appl. Math. Comput. 2001, 215(12):4370-4384.
20. Liu L., Han Z., Li W. Global stability analysis of interval neural networks with discrete and distributed delays of neutral type. Expert Syst. Appl. 2009, 36(3):7328-7331.
21. Luo M., Zhong S., Wang R., Kang W. Robust stability analysis for discrete-time stochastic neural networks systems with time-varying delays. Appl. Math. Comput. 2009, 209(2):305-313.
22. Liu X., Jiang N. Robust stability analysis of generalized neural networks with multiple discrete delays and multiple distributed delays. Neurocomputing 2009, 72(7-9):1789-1796.
23. Li H., Chen B., Zhou Q., Fang S. Robust exponential stability for uncertain stochastic neural networks with discrete and distributed time-varying delays. Phys. Lett. A 2008, 372(19):3385-3394.
24. Shengyuan X., Lam J., Ho D.W.C., Zou Y. Improved global robust asymptotic stability criteria for delayed cellular neural networks. IEEE Trans. Syst. Man Cybern. Part B Cybern. 2005, 35(6):1317-1321.
25. Zhang H., Wang Z., Liu D. Robust stability analysis for interval Cohen-Grossberg neural networks with unknown time-varying delays. IEEE Trans. Neural Networks 2008, 19(11):1942-1955.
26. Qi H. New sufficient conditions for global robust stability of delayed neural networks. IEEE Trans. Circuits Syst. I 2007, 54(5):1131-1141.
27. Kwon O.M., Park Ju.H. Improved delay-dependent stability criterion for neural networks with time-varying delays. Phys. Lett. A 2009, 373(5):529-535.
28. Wu Z., Su H., Chu J., Zhou W. Improved result on stability analysis of discrete stochastic neural networks with time delay. Phys. Lett. A 2009, 373(17):1546-1552.
29. Wang Z., Zhang H., Yu W. Robust stability criteria for interval Cohen-Grossberg neural networks with time varying delay. Neurocomputing 2009, 72(4-6):1105-1110.
30. Kwon O.M., Park J.H. Delay-dependent stability for uncertain cellular neural networks with discrete and distribute time-varying delays. J. Franklin Inst. 2008, 345(7):766-778.
31. Zhang H., Liu Z., Huang G.B. Novel delay-dependent robust stability analysis for switched neutral-type neural networks with time-varying delays via SC technique. IEEE Trans. Syst. Man Cybern. Part B Cybern. 2010, 40(6):1480-1491.
32. Yuan Y., Li X. New results for global robust asymptotic stability of BAM neural networks with time-varying delays. Neurocomputing 2010, 74(1-3):337-342.
33. Gu H., Jiang H., Teng Z. Existence and global exponential stability of equilibrium of competitive neural networks with different time scales and multiple delays. J. Franklin Inst. 2010, 347(5):719-731.
34. Cui S., Zhao T., Guo J. Global robust exponential stability for interval neural networks with delay. Chaos Solitons Fractals 2009, 42(3):1567-1576.
35. Lin D., Wang X. Self-organizing adaptive fuzzy neural control for the synchronization of uncertain chaotic systems with random-varying parameters. Neurocomputing 2011, 74(12-13):2241-2249.
36. Wang J.L., Wu H.N. Robust stability and robust passivity of parabolic complex networks with parametric uncertainties and time-varying delays. Neurocomputing 2012, 87:26-32.
37. Zhang Z., Liu K., Yang Y. New LMI-based condition on global asymptotic stability concerning BAM neural networks of neutral type. Neurocomputing 2012, 81:24-32.
38. Zhang Z., Liu W., Zhou D. Global asymptotic stability to a generalized Cohen-Grossberg BAM neural networks of neutral type delays. Neural Networks 2012, 25:94-106.
39. Zhang H., Liu Z., Huang G.B., Wang Z. Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay. IEEE Trans. Neural Networks 2010, 21:91-106.
40. Horn R.A., Johnson C.R. Topics in Matrix Analysis 1991, Cambridge University Press.