Mean square exponential stability of stochastic delayed Hopfield neural networks

[1]  Yuming Chen,et al.  Global stability of neural networks with distributed delays , 2002, Neural Networks.

[2]  Xuerong Mao,et al.  Stability of stochastic delay neural networks , 2001, J. Frankl. Inst..

[3]  Lin-Bao Yang,et al.  Cellular neural networks: theory , 1988 .

[4]  Geoffrey E. Hinton,et al.  GEMINI: Gradient Estimation Through Matrix Inversion After Noise Injection , 1988, NIPS.

[5]  J J Hopfield,et al.  Neurons with graded response have collective computational properties like those of two-state neurons. , 1984, Proceedings of the National Academy of Sciences of the United States of America.

[6]  Xuesong Jin,et al.  Global stability analysis in delayed Hopfield neural network models , 2000, Neural Networks.

[7]  Allon Guez,et al.  On the stability, storage capacity, and design of nonlinear continuous neural networks , 1988, IEEE Trans. Syst. Man Cybern..

[8]  Shun-ichi Amari,et al.  Stability of asymmetric Hopfield networks , 2001, IEEE Trans. Neural Networks.

[9]  Chang Da-Wei,et al.  A Note on "Global Exponential Convergence Analysis of Hopfield Neural Networks with Continuously Distributed Delays" , 2003 .

[10]  K. Gopalsamy,et al.  Dynamics of a class of discete-time neural networks and their comtinuous-time counterparts , 2000 .

[11]  Sabri Arik,et al.  An analysis of global asymptotic stability of delayed cellular neural networks , 2002, IEEE Trans. Neural Networks.

[12]  Leon O. Chua,et al.  The CNN paradigm , 1993 .

[13]  J. Buhmann,et al.  Influence of noise on the function of a “physiological” neural network , 1987, Biological Cybernetics.

[14]  L. Arnold.  Stochastic Differential Equations: Theory and Applications , 1992 .

[15]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[16]  Xuerong Mao,et al.  Exponential stability and instability of stochastic neural networks 1 , 1996 .

[17]  Leon O. Chua,et al.  Cellular neural networks: applications , 1988 .

[18]  A. Friedman.  Stochastic Differential Equations and Applications , 1975 .

[19]  S. Arik.  Global robust stability of delayed neural networks , 2003 .

[20]  J J Hopfield,et al.  Neural networks and physical systems with emergent collective computational abilities. , 1982, Proceedings of the National Academy of Sciences of the United States of America.

[21]  Jinde Cao.  Global stability conditions for delayed CNNs , 2001 .

[22]  P. Vadakkepat,et al.  Absolute periodicity and absolute stability of delayed neural networks , 2002 .

[23]  Jinde Cao.  New results concerning exponential stability and periodic solutions of delayed cellular neural networks , 2003 .

[24]  X. Mao,et al.  Stochastic Differential Equations and Applications , 1998 .

[25]  K. Gopalsamy,et al.  Stability in asymmetric Hopfield nets with transmission delays , 1994 .

[26]  V. Sree Hari Rao,et al.  Global dynamics of bidirectional associative memory neural networks involving transmission delays and dead zones , 1999, Neural Networks.

[27]  Christopher J. Bishop,et al.  Pulsed Neural Networks , 1998 .

[28]  Jinde Cao,et al.  Global asymptotic stability of a general class of recurrent neural networks with time-varying delays , 2003 .

[29]  S. Arik.  An improved global stability result for delayed cellular neural networks , 2002 .

[30]  Shun-ichi Amari,et al.  New theorems on global convergence of some dynamical systems , 2001, Neural Networks.