Global asymptotic stability of delay BAM neural networks with impulses via nonsmooth analysis

Neurocomputing

Volumn 71, Issue 7-9, 2008, Pages 1543-1549

  Wen, Zhen ^a   Sun, Jitao ^a  

^a TONGJI UNIVERSITY   (China)

Author keywords

BAM neural networks; Equilibrium point; Impulse; Lyapunov method; Nonsmooth analysis

Indexed keywords

ASYMPTOTIC STABILITY; FORECASTING; LYAPUNOV METHODS;

BI-DIRECTIONAL ASSOCIATIVE MEMORY (BAM); EQUILIBRIUM POINT; NONSMOOTH ANALYSIS;

NEURAL NETWORKS;

ARTICLE; ARTIFICIAL NEURAL NETWORK; DELAY BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORK; EQUILIBRIUM CONSTANT; FEASIBILITY STUDY; LYAPUNOV METHOD; MATHEMATICAL COMPUTING; METHODOLOGY; PRIORITY JOURNAL; THEORY CONSTRUCTION;

EID: 40649118982     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2007.05.007     Document Type: Article

References (21)

1. Arik S., and Tavsanoglu V. Global asymptotic stability analysis of bidirectional associative memory neural networks with constant time delays. Neurocomputing 68 (2005) 161-176
2. Bainov D.D., and Simeonov P.S. Systems with Impulse: Effect Stability Theory and Applications (1989), Ellis Horwood, Chichester
3. Clarke F.H. Optimization and Nonsmooth Analysis (1983), Wiley, New York
4. Clarke F.H., Leyaev Yu., Stern R., and Wolenski P. Nonsmooth Analysis and Control Theory (1998), Springer, New York
5. Gao H.J., and Chen T.W. New results on stability of discrete-time systems with time-varying state delay. IEEE Trans. Autom. Control 52 (2007) 328-334
6. Gao H.J., Lam J., and Chen G.R. New criteria for synchronization stability of general complex dynamical networks with coupling delays. Phys. Lett. A 360 (2006) 263-273
7. ∞ control of linear time-delay systems". IEEE Trans. Autom. Control 48 (2003) 520-525
8. Z.K. Huang, Y.H. Xia, Global exponential stability of BAM neural networks with transmission delays and nonlinear impulses, Chaos Solitons Fractals 2007, in press.
9. Kosko B. Bidirectional associative memories. IEEE Trans. Syst. Man Cybern. 18 (1988) 49-60
10. Lakshmikantham V., Bainov D.D., and Simeonov P.S. Theory of Impulsive Differential Equations (1989), World Scientific, Singapore
11. Li Y.K. Global exponential stability of BAM neural networks with delays and impulses. Chaos Solitons Fractals 24 (2005) 279-285
12. Lou X.Y., and Cui B.T. Global asymptotic stability of delay BAM neural networks with impulses. Chaos Solitons Fractals 29 (2006) 1023-1031
13. Lu H.T., and He Z. Global exponential stability of delayed competitive neural networks with different time scale. Neural Networks 18 (2005) 243-250
14. Pourciau B.H. Hadamard theorem for locally Lipschitzian maps. J. Math. Anal. Appl. 85 (1982) 279-285
15. Qi H.D., and Qi L.Q. Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis. IEEE Trans. Neural Networks 15 (2004) 99-109
16. Wang Z.D., Liu Y.R., Li M.Z., and Liu X.H. Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays. IEEE Trans. Neural Networks 17 (2006) 814-820
17. Wang Z.D., Liu Y.R., and Liu X.H. On global asymptotic stability of neural networks with discrete and distributed delays. Phys. Lett. A 345 (2005) 299-308
18. Wang Z.D., Liu Y.R., Yu L., and Liu X.H. Exponential stability of delayed recurrent neural networks with Markovian jumping parameters. Phys. Lett. A 356 (2006) 346-352
19. Y.H. Xia, Z.K. Huang, M.A. Han, Existence and globally exponential stability of equilibrium for BAM neural networks with impulses, Chaos Solitons Fractals 2006, in press.
20. Yang T. Impulsive Systems and Control: Theory and Applications (2001), Nova Science Publishers, Huntington, NY
21. Yuan K., and Cao J.D. An analysis of global asymptotic stability of delayed Cohen-Grossberg neutral networks via nonsmooth analysis. IEEE Trans. Circuits Syst. I Regular Papers 52 (2005) 1854-1861