References

ON GLOBAL EXPONENTIAL STABILITY OF GENERALIZED COHEN-GROSSBERG NEURAL NETWORKS WITH TIME-VARYING DELAYS


[1] S. Arik and Z. Orman, Global stability analysis of Cohen-Grossberg neural networks with time varying delays, Phys. Lett. A 341 (2005), 410-421.

[2] S. Arik and V. Tavanoglu, On the global asymptotic stability of delayed cellular neural networks, IEEE Trans. Circuits Systems-I 47 (2000), 571-574.

[3] A. Berman and R. J. Plemmons, Nonnegative Matrices in Mathematical Sciences, Academic Press, New York, 1979.

[4] J. Cao and J. Liang, Boundedness and stability for Cohen-Grossberg neural network with time-varying delays, J. Math. Anal. Appl. 296 (2004), 665-685.

[5] J. Cao, Global asymptotic stability of delayed bi-directional associative memory neural networks, Appl. Math. Comput. 142 (2003), 333-339.

[6] J. Cao and M. Dong, Exponential stability of delayed bi-directional associative memory networks, Appl. Math. Comput. 135 (2003), 105-112.

[7] J. Cao, A set of stability criteria for delayed cellular neural networks, IEEE Trans. Circuits Systems I 48 (2001), 494-498.

[8] J. Cao, Global exponential stability of Hopfield neural networks, Int. J. Systems Sci. 32(2) (2001), 233-236.

[9] T. Chen, Global exponential stability of delayed Hopfield networks, Neural Networks 14(8) (2001), 977-980.

[10] L. O. Chua and L. Yang, Cellular neural networks: Applications, IEEE Trans. Circuits Systems 35 (1988), 1273-1290.

[11] L. O. Chua and L. Yang, Cellular neural networks: Theory, IEEE Trans. Circuits Systems 35 (1988), 1257-1272.

[12] M. Cohen and S. Grossberg, Absolute stability and global pattern formation and parallel memory storage by competitive neural networks, IEEE Trans. Syst. Man Cybern 13 (1983), 815-826.

[13] K. Gopalsamy and X. He, Delay-independent stability in bi-directional associative memory networks, IEEE Trans. Neural Networks 5 (1994), 998-1002.

[14] J. J. Hopfield, Neurons with graded response have collective computational properties like those of two-stage neurons, Proc. Nat. Acad. Sci.-Biol. 81 (1984), 3088-3092.

[15] C. Hwang, C. Cheng and T. Liao, Globally exponential stability of generalized Cohen-Grossberg neural networks with delays, Phys. Lett. A 319 (2003), 157-166.

[16] H. Jiang, J. Cao and Z. Teng, Dynamics of Cohen-Grossberg neural networks with time-varying delays, Phys. Lett. A 354 (2006), 414-422.

[17] M. Jiang, Y. Shen and X. Liao, Boundedness and global exponential stability for generalized Cohen-Grossberg neural networks with variable delay, Appl. Math. Comp. 172 (2006), 379-393.

[18] B. Kosko, in: Neural Networks and Fuzzy Systems-A Dynamical System Approach Machine Intelligence, Prentice Hall, Englewood Cliffs, NJ, (1992), 38-108.

[19] B. Kosko, Bi-directional associative memories, IEEE Trans. Syst. Man Cybernet 18 (1988), 49-60.

[20] X. Liao, C. Li and K. Wong, Criteria for exponential stability of Cohen-Grossberg neural networks, Neural Networks 17 (2004), 1401-1414.

[21] J. Liu, Global exponential stability of Cohen-Grossberg neural networks with time-varying delays, Chaos, Solitons & Fractals 26 (2005), 935-945.

[22] A. Michel, J. A. Farrell and W. Porod, Qualitative analysis of neural networks, IEEE Trans. Circuits Systems 36 (1989), 229-243.

[23] S. Mohamad and K. Gopalsamy, Exponential stability of continuous-time and discrete-time cellular neural networks, Appl. Math. Comput. 135 (2003), 17-38.

[24] S. Mohamad, Global exponential stability in continuous-time and discrete-time delayed bi-directional neural networks, Physica D 159 (2001), 233-251.

[25] V. S. H. Rao and Bh. R. M. Phaneendra, Global dynamics of bi-directional associative memory neural networks involving transmission delays and dead zones, Neural Networks 12 (1999), 455-465.

[26] D. D. Siljak, Large-Scale Dynamic Systems-Stability and Structure, Elsevier, North-Holland, New York, 1978.

[27] Q. Song and J. Cao, Stability analysis of Cohen-Grossberg neural network with both time-varying and continuously distributed delays, J. Comp. Appl. Math. 197 (2006) 188-203.

[28] A. Wan, H. Qiao, J. Peng and M. Wang, Delay-independent criteria for exponential stability of generalized Cohen-Grossberg neural networks with discrete delays, Phys. Lett. A 353(2-3) (2006), 151-157.

[29] A. Wan, M. Wang, J. Peng and H. Qiao, Exponential stability of Cohen-Grossberg neural networks with a general class of activation functions, Phys. Lett. A 350 (2006), 96-102.

[30] A. Wan, J. Peng and M. Wang, Exponential stability of a class of generalized neural networks with time-varying delays, Neurocomputing 69(7-9) (2006), 959-963.

[31] L. Wang and D. Xu, Stability of Hopfield neural networks with time delays, J. Vibration Control 8(1) (2002), 13-18.

[32] K. Yuan and J. Cao, An analysis of global asymptotic stability of delayed Cohen-Grossberg neural networks via nonsmooth analysis, IEEE Trans. Circuits and Systems I 52(9) (2005), 1854-1861.

[33] J. Zhang, Y. Suda and H. Komine, Global exponential stability of Cohen-Grossberg neural networks with variable delays, Phys. Lett. A 338 (2005), 44-55.

[34] J. Zhang, Global stability analysis in delayed cellular networks, Comput. Math. Appl. 45(10-11) (2003), 1707-1720.

[35] Q. Zhang, X. Wei and J. Xu, Global asymptotic stability analysis of delayed neural networks with time-varying delays, Neural Process. Lett. 21(1) (2005), 61-71.

[36] Q. Zhang, X. Wei and J. Xu, Global exponential convergence analysis of delayed neural networks with time-varying delays, Phys. Lett. A 318(6) (2003), 537-544.

[37] H. Zhao, Exponential stability and periodic oscillatory of bi-directional associative memory neural network involving delays, Neurocomputing 69 (2006), 424-448.

[38] H. Zhao and J. Cao, New conditions for global exponential stability of cellular neural networks with delays, Neural Networks 18 (2005), 1332-1340.

[39] H. Zhao and G. Wang, Delay-independent exponential stability of recurrent neural networks, Phys. Lett. A 333 (2004), 399-407.