An LMI approach to stability analysis of stochastic high-order Markovian jumping neural networks with mixed time delays

[1]  Demetri Psaltis,et al.  Higher order associative memories and their optical implementations , 1988, Neural Networks.

[2]  A. Skorokhod.  Asymptotic Methods in the Theory of Stochastic Differential Equations , 2008 .

[3]  H. Chizeck,et al.  Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control , 1990 .

[4]  A. Dembo,et al.  High-order absolutely stable neural networks , 1991 .

[5]  A N Venetsanopoulos,et al.  On the training and performance of high-order neural networks. , 1995, Mathematical biosciences.

[6]  Mike Casey,et al.  The Dynamics of Discrete-Time Computation, with Application to Recurrent Neural Networks and Finite State Machine Extraction , 1996, Neural Computation.

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

[8]  Peng Shi,et al.  Kalman filtering for continuous-time uncertain systems with Markovian jumping parameters , 1999, IEEE Trans. Autom. Control..

[9]  Peng Shi,et al.  Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay , 1999, IEEE Trans. Autom. Control..

[10]  K. Gu.  An integral inequality in the stability problem of time-delay systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

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

[12]  Bingji Xu,et al.  Global asymptotic stability of high-order Hopfield type neural networks with time delays , 2003 .

[13]  Peter Tiño,et al.  Markovian architectural bias of recurrent neural networks , 2004, IEEE Transactions on Neural Networks.

[14]  Hongyong Zhao,et al.  Existence and global attractivity of almost periodic solution for cellular neural network with distributed delays , 2004, Appl. Math. Comput..

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

[16]  Hongyong Zhao,et al.  Global asymptotic stability of Hopfield neural network involving distributed delays , 2004, Neural Networks.

[17]  Jinde Cao,et al.  Globally exponentially robust stability and periodicity of delayed neural networks , 2004 .

[18]  Jinde Cao,et al.  Exponential stability of high-order bidirectional associative memory neural networks with time delays , 2004 .

[19]  James Lam,et al.  Stochastic stability analysis of fuzzy hopfield neural networks with time-varying delays , 2005, IEEE Transactions on Circuits and Systems II: Express Briefs.

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

[21]  S. Arik.  Global robust stability analysis of neural networks with discrete time delays , 2005 .

[22]  H. B. Huang,et al.  Robust stability analysis of switched Hopfield neural networks with time-varying delay under uncertainty , 2005 .

[23]  Orly Yadid-Pecht,et al.  Modified high-order neural network for invariant pattern recognition , 2005, Pattern Recognit. Lett..

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

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

[26]  Zhao Lu,et al.  Adaptive feedback linearization control of chaotic systems via recurrent high-order neural networks , 2006, Inf. Sci..

[27]  Zidong Wang,et al.  Robust stability analysis of generalized neural networks with discrete and distributed time delays , 2006 .

[28]  Jinde Cao,et al.  LMI-based criteria for stability of high-order neural networks with time-varying delay☆ , 2006 .

[29]  Zidong Wang,et al.  Exponential stability of delayed recurrent neural networks with Markovian jumping parameters , 2006 .

[30]  P. Shi,et al.  Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays , 2007 .

[31]  Jian-an Fang,et al.  Global stability of stochastic high-order neural networks with discrete and distributed delays , 2008 .