Improved stability criteria of neural networks with time-varying delays: An augmented LKF approach

Neurocomputing

Volumn 73, Issue 4-6, 2010, Pages 1038-1047

  Li, Tao ^a,b   Ye, Xiaoling ^a  

^a NANJING UNIVERSITY OF INFORMATION SCIENCE AND TECHNOLOGY   (China)

^b SOUTHEAST UNIVERSITY   (China)

Author keywords

Asymptotic stability; Delay dependent; Linear matrix inequality (LMI); Neural networks (NNs)

Indexed keywords

ACTIVATION FUNCTIONS; COMPUTATIONAL BURDEN; DELAY-DEPENDENT; GLOBAL ASYMPTOTIC STABILITY ANALYSIS; LINEAR MATRIX INEQUALITY (LMI); LYAPUNOV-KRASOVISKII FUNCTIONAL; STABILITY CONDITION; STABILITY RESULTS; TIME-VARYING DELAY;

ACTIVATION ANALYSIS; ASYMPTOTIC ANALYSIS; ASYMPTOTIC STABILITY; DELAY CONTROL SYSTEMS; FUZZY CONTROL; LINEAR MATRIX INEQUALITIES; NEURAL NETWORKS; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS; UNCERTAIN SYSTEMS;

STABILITY CRITERIA;

ARTICLE; ARTIFICIAL NEURAL NETWORK; DELAY DEPENDENT STABILITY CRITERION; LINEAR MATRIX INEQUALITY; LINEAR SYSTEM; LYAPUNOV KRASOVSKII FUNCTIONAL; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MATHEMATICAL PHENOMENA; PRIORITY JOURNAL; SIGNAL PROCESSING; STATISTICAL ANALYSIS;

EID: 75749089550     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2009.10.001     Document Type: Article

References (27)

1. Cichocki A., and Unbehauen R. Neural Networks for Optimization and Signal Processing (1993), Wiley, Chichester
2. Chua L.O., and Yang L. Cellular neural networks: applications. IEEE Transactions on Circuits and Systems 35 (1988) 1273-1290
3. Cao J.D., and Wang L. Exponential stability and periodic oscillatory solution in BAM networks with delays. IEEE Transactions on Neural Networks 13 (2002) 457-463
4. Cao J.D., and Wang J. Global exponential stability and periodicity of recurrent neural networks with time delays. IEEE Transactions on Circuits and Systems I, Regular Papers 52 (2005) 920-931
5. Liao X.F., Chen G., and Sanchez E.N. Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach. Neural Networks 15 (2002) 855-866
6. Arik S. Global asymptotic stability of a larger class of neural networks with constant time delay. Physics Letters A 311 (2002) 504-511
7. Chen T., and Rong L. Delay-independent stability analysis of Cohen-Grossberg neural networks. Physics Letters A 317 (2002) 436-449
8. Zhang Q., Wei X., and Xu J. Global exponential stability for nonautonomous cellular neural networks with delays. Physics Letters A 351 (2006) 153-160
9. Zhang Q., Wei X., and Xu J. Stability analysis for cellular neural networks with variable delays. Chaos, Solitons Fractals 28 (2006) 331-336
10. K. Gu, An integral inequality in the stability problem of time-delay systems, in: Proceedings of 39th IEEE Conference on Decision and Control, 2000, pp. 2805-2810.
11. Singh V. Global robust stability of delayed neural networks: an LMI approach. IEEE Transactions on Circuits and Systems II, Express Briefs 52 (2005) 33-36
12. Wang Z., Liu Y., and Liu X. On global asymptotic stability of neural networks with discrete and distributed delays. Physics Letters A 345 (2005) 299-308
13. Wang Z., Liu Y., Li M., and Liu X. Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays. IEEE Transactions on Neural Networks 17 (2006) 814-820
14. Xu S., Lam J., Ho D.W.C., and Zou Y. Novel global asymptotic stability criteria for delayed cellular neural networks. IEEE Transactions on Circuits and Systems II, Express Briefs 52 (2005) 349-353
15. Xu S., and Lam J. A new LMI condition for delay-dependent asymptotic stability of delayed Hopfield neural networks. IEEE Transactions on Circuits and Systems II, Express Briefs 53 (2006) 230-234
16. Hua C.C., Long C.N., and Guan X.P. New results on stability analysis of neural networks with time-varying delays. Physics Letters A 352 (2006) 335-340
17. He Y., Wang Q.G., and Wu M. LMI-based stability criteria for neural networks with multiple time-varying delays. Physica D 212 (2005) 126-136
18. He Y., Liu G.P., and Rees D. New delay-dependent stability criteria for neural networks with time-varying delay. IEEE Transactions on Neural Networks 18 (2007) 310-314
19. Park J.H. Robust stability of bidirectional associative memory neural networks with time delays. Physics Letters A 359 (2006) 494-499
20. Li T., Guo L., and Sun C.Y. Further result on asymptotic stability criterion of neural networks with time-varying delays. Neurcomputing 71 (2007) 439-447
21. Cho H.J., and Park J.H. Novel delay-dependent robust stability criterion of delayed cellular neural networks. Chaos, Solitons and Fractals 32 (2007) 1194-1200
22. Liu Y.R., Wang Z., and Liu X.H. Design of exponential state estimators for neural networks with mixed time delays. Physics Letters A 364 (2007) 401-412
23. Q.K. Song, Z. Wang, A delay-dependent LMI approach to dynamics analysis of discrete-time recurrent neural networks with time-varying delays, Physics Letters A 368 (2007) 134-145.
24. Song Q.K., Zhao Z.J., and Li Y.M. Global exponential stability of BAM neural networks with distributed delays and reaction C-diffusion terms. Physics Letters A 335 (2005) 213-225
25. de Oliveir M.C. Investigating duality on stability conditions. Systems and Control Letters 52 (2004) 1-6
26. C.D. Zheng, L.B. Lu, Z.S. Wang, New LMI-based delay-dependent criterion for global asymptotic stability of cellular neural networks, Neurocomputing 72 (2009) 3331-3336.
27. Li C.D., and Feng G. Delay-interval-dependent stability of recurrent neural networks with time-varying delay. Neurocomputing 72 (2009) 1179-1183