Robust stability for nonlinear uncertain neural networks with delay

Nonlinear Dynamics and Systems Theory

Volumn 7, Issue 4, 2007, Pages 369-378

  Lou, X Y ^a   Cui, B T ^a  

^a JIANGNAN UNIVERSITY   (China)

Author keywords

Delay; Linear matrix inequality; Lyapunov Krasovskii functional; Nonlinear uncertain neural network; Robust stability

Indexed keywords

EID: 55549108778     PISSN: 15628353     EISSN: 18137385     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. Bouzerman, A. and Pattison, T. Neural network for quadratic optimization with bound constraints. IEEE Trans. Neural Networks 4 (1993) 293-303.
2. Venetianer, P. and Roska, T. Image compression by delayed CNNs. IEEE Trans. Circ. Syst. I 45 (1998) 205-215.
3. Sudharsanan, S. and Sundareshan, M. Exponential stability and a systematic synthesis of a neural network for quadratic minimization. Neural Networks 4 (1991) 599-613. (Pubitemid 21710139)
4. Chen, Y. and Fang, S. Neurocomputing with time delay analysis for solving convex quadratic programming problems. IEEE Trans. Neural Networks 11 (2000) 230-234.
5. Ye, H. and Michel, A. N. Robust stability of nonlinear time-delay systems with applications to neural networks. IEEE Trans. Circ. Syst. I 43 (1996) 532-543. (Pubitemid 126776691)
6. Liao, X. and Yu, J. Robust stability for interval Hopfield neural networks with time delay. IEEE Trans. Neural Networks 9 (1998) 1042-1045. (Pubitemid 128743667)
7. Liao, X.F., Wang, K.W., Wu, Z.F. and Chen, G.R. Novel robust stability criteria for interval-delayed Hopfield neural networks. IEEE Trans. Circ. Syst. I 48 (2001) 1355-1359.
8. Lou, X. Y. and Cui, B. T. On the global robust asymptotic stability of BAM neural networks with time-varying delays. Neurocomputing 70(1-3) (2006) 273-279.
9. Arik, S. Global robust stability of delayed neural networks. IEEE Trans. Circ. Syst. I 50(1) (2003) 156-160.
10. Fang, Y. and Kincaid, T. Stability analysis of dynamical neural networks. IEEE Trans. Neural Networks 7(3) (1996) 996-1007
11. Lou, X. Y. and Cui, B. T. Global asymptotic stability of delay BAM neural networks with impulses. Chaos, Solitons and Fractals 29(4) (2006) 1023-1031.
12. Lou, X. Y. and Cui, B. T. Absolute exponential stability analysis of delayed bi-directional associative memory neural networks. Chaos, Solitons and Fractals 31(3) (2007) 695-701.
13. Botelho, F. Dynamical features simulated by recurrent neural networks. Neural Networks 12 (1999) 609-615. (Pubitemid 29348433)
14. Hale, J. K. and Lunel, S. M. V. Introduction to the theory of functional differential equations. Applied Mathematical Sciences, vol. 99. New York, Springer, 1991.
15. Li, C. D., Liao, X. F. and Zhang, R. Delay-dependent exponential stability analysis of bi-directional associative memory neural networks with time delay: an LMI approach. Chaos, Solitons and Fractals 24 (2005) 1119-1134. (Pubitemid 40151907)
16. Cao, J. D. On exponential stability and periodic solutions of CNNs with delays. Physics Letters A 267(5-6) (2000) 312-318.
17. Cao, J. D. Global stability conditions for delayed CNNs. IEEE Trans. Circ. Syst. I 48(11) (2001) 1330-1333.
18. Arik, S. An analysis of global asymptotic stability of delayed cellular neural networks. IEEE Trans. Neural Networks 13(5) (2002) 1239-1242.
19. Cao, J. D. and Song, Q. K. Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays. Nonlinearity 19(7) (2006) 1601-1617.