Exponential robust stability of stochastic interval Hopfield neural networks with time-varying delays

In this paper, the exponential robust stability for stochastic interval Hopfield neural networks with time-varying delays is investigated. Based on Lyapunov functional approach and linear matrix inequality (LMI) technique, the sufficient conditions are proposed to ensure stochastic interval Hopfield neural networks to be exponential robustly stable.

[1]  Zidong Wang,et al.  Exponential stability of uncertain stochastic neural networks with mixed time-delays , 2007 .

[2]  Pauline van den Driessche,et al.  Global Attractivity in Delayed Hopfield Neural Network Models , 1998, SIAM J. Appl. Math..

[3]  Guanrong Chen,et al.  Novel robust stability criteria for interval-delayed Hopfield neural networks , 2001 .

[4]  X. Mao,et al.  Exponential Stability of Stochastic Di erential Equations , 1994 .

[5]  Zidong Wang,et al.  On global exponential stability of generalized stochastic neural networks with mixed time-delays , 2006, Neurocomputing.

[6]  Xuerong Mao,et al.  Exponential stability of stochastic delay interval systems with Markovian switching , 2002, IEEE Trans. Autom. Control..

[7]  Yurong Liu,et al.  Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays , 2006 .

[8]  Xuerong Mao,et al.  Stability of stochastic neural networks , 1996, Neural Parallel Sci. Comput..

[9]  Jinde Cao A set of stability criteria for delayed cellular neural networks , 2001 .

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

[11]  Maozhen Li,et al.  Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays , 2006, IEEE Transactions on Neural Networks.

[12]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[13]  Xuerong Mao,et al.  Stability of stochastic interval systems with time delays , 2001 .

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

[15]  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.

[16]  Xiaoxin Liao,et al.  Stochastic Stabilization of Delayed Neural Networks , 2007, ISNN.

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

[18]  X. Mao,et al.  Exponential stability of stochastic delay interval systems , 2000 .

[19]  Jianhua Sun,et al.  Mean square exponential stability of stochastic delayed Hopfield neural networks , 2005 .

[20]  Jinde Cao,et al.  Global and Robust Stability of Interval Hopfield Neural Networks with Time-Varying Delays , 2003, Int. J. Neural Syst..

[21]  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.

[22]  Jinde Cao,et al.  Stability analysis of delayed cellular neural networks , 1998, Neural Networks.

[23]  Xiaofeng Liao,et al.  Robust stability for interval Hopfield neural networks with time delay , 1998, IEEE Trans. Neural Networks.

[24]  Xiaofeng Liao,et al.  Global robust asymptotical stability of multi-delayed interval neural networks: an LMI approach , 2004 .

[25]  Jinde Cao,et al.  Global robust stability of delayed recurrent neural networks , 2004 .

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

[27]  X. Mao,et al.  Robustness of exponential stability of stochastic differential delay equations , 1996, IEEE Trans. Autom. Control..