Dynamics analysis of impulsive stochastic Cohen-Grossberg neural networks with Markovian jumping and mixed time delays

In this paper, the problem of dynamics analysis for a class of new impulsive stochastic Cohen-Grossberg neural networks with Markovian jumping and mixed time delays is researched. Some criteria for the asymptotical stability in mean square are obtained based on linear matrix inequality (LMI) forms, which can be easily solved by LMI Toolbox in Matlab. An example is given to show the effectiveness of the obtained results.

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

[2]  Nan Ding,et al.  Dynamic analysis of stochastic Cohen-Grossberg neural networks with time delays , 2006, Appl. Math. Comput..

[3]  Daoyi Xu,et al.  Global exponential stability of impulsive integro-differential equation , 2006 .

[4]  Tao Yang,et al.  Impulsive Systems and Control: Theory and Applications , 2001 .

[5]  Li Xie,et al.  Stochastic robust stability analysis for Markovian jumping neural networks with time delays , 2005, Proceedings. 2005 IEEE Networking, Sensing and Control, 2005..

[6]  Tao Yang,et al.  Impulsive control , 1999, IEEE Trans. Autom. Control..

[7]  Jinde Cao,et al.  Boundedness and stability for Cohen–Grossberg neural network with time-varying delays☆ , 2004 .

[8]  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).

[9]  J. Ruan,et al.  Global dynamic analysis of general Cohen–Grossberg neural networks with impulse , 2007 .

[10]  Tianping Chen,et al.  New Conditions on Global Stability of Cohen-Grossberg Neural Networks , 2003, Neural Computation.

[11]  Y. Wang,et al.  Stability Analysis of Markovian Jumping Stochastic Cohen–Grossberg Neural Networks With Mixed Time Delays , 2008, IEEE Transactions on Neural Networks.

[12]  Jinde Cao,et al.  Stability analysis of Cohen-Grossberg neural network with both time-varying and continuously distributed delays , 2006 .

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

[14]  James Lam,et al.  Global exponential stability of impulsive high-order BAM neural networks with time-varying delays , 2006, Neural Networks.

[15]  Q. Song,et al.  Global exponential stability of impulsive Cohen-Grossberg neural network with time-varying delays , 2008 .

[16]  Jinde Cao,et al.  Stability in delayed Cohen–Grossberg neural networks: LMI optimization approach , 2005 .

[17]  Ce Ji,et al.  DELAY-INDEPENDENT GLOBALLY ASYMPTOTIC STABILITY OF COHEN-GROSSBERG NEURAL NETWORKS , 2005 .

[18]  Zhiguo Yang,et al.  Exponential p-stability of impulsive stochastic differential equations with delays , 2006 .

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

[20]  Tianping Chen,et al.  Robust global exponential stability of Cohen-Grossberg neural networks with time delays , 2004, IEEE Transactions on Neural Networks.

[21]  H. Kokame,et al.  Robust H∞ performance for linear delay-differential systems with time-varying uncertainties , 1998, IEEE Trans. Autom. Control..

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

[23]  S. Arik,et al.  Global stability analysis of Cohen–Grossberg neural networks with time varying delays , 2005 .

[24]  Yu Zhang,et al.  Stability of impulsive neural networks with time delays , 2005 .

[25]  Tianping Chen,et al.  Delay-independent stability analysis of Cohen-Grossberg neural networks , 2003 .

[26]  Stephen T. C. Wong,et al.  Stochastic Robust Stability Analysis for Markovian Jump Discrete-Time Delayed Neural Networks with Multiplicative Nonlinear Perturbations , 2006, ISNN.

[27]  Jitao Sun,et al.  p-Moment stability of stochastic differential equations with impulsive jump and Markovian switching , 2006, Autom..

[28]  Daoyi Xu,et al.  Impulsive delay differential inequality and stability of neural networks , 2005 .

[29]  Stephen Grossberg,et al.  Absolute stability of global pattern formation and parallel memory storage by competitive neural networks , 1983, IEEE Transactions on Systems, Man, and Cybernetics.

[30]  Xinzhi Liu,et al.  Delay independent stability criteria of impulsive switched systems with time-invariant delays , 2008, Math. Comput. Model..

[31]  Huaguang Zhang,et al.  LMI Approach to Robust Stability Analysis of Cohen-Grossberg Neural Networks with Multiple Delays , 2006, ISNN.

[32]  Zhengguo Li,et al.  Analysis and design of impulsive control systems , 2001, IEEE Trans. Autom. Control..