Robust stability of uncertain Markovian jumping stochastic Cohen-Grossberg type bam neural networks with time-varying delays and reaction diffusion terms

In this paper, the robust exponential stability problem is investigated for a class of uncertain Markovian jumping stochastic Cohen-Grossberg type bidirectional associative memory neural networks (CGBAMNN) with time-varying delays and reaction-diffusion terms. By using the Lyapunov stability theory and linear matrix inequality (LMI) technique, some robust stability conditions guaranteeing the global robust convergence of the equilibrium point are derived. Two numerical examples are given to show the effectiveness of the proposed results.

[1]  Daniel W. C. Ho,et al.  Robust stability of stochastic delayed additive neural networks with Markovian switching , 2007, Neural Networks.

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

[3]  Jinde Cao,et al.  Exponential stability in the mean square for stochastic neural networks with mixed time-delays and Markovian jumping parameters , 2009 .

[4]  Gang George Yin,et al.  Stabilization and destabilization of hybrid systems of stochastic differential equations , 2007, Autom..

[5]  Réjean Plamondon,et al.  Stability analysis of bidirectional associative memory networks with time delays , 2003, IEEE Trans. Neural Networks.

[6]  Li Wan,et al.  Impulsive effects on stability of Cohen–Grossberg-type bidirectional associative memory neural networks with delays , 2009 .

[7]  Xuyang Lou,et al.  Stochastic Exponential Stability for Markovian Jumping BAM Neural Networks With Time-Varying Delays , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[8]  Daoyi Xu,et al.  Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays , 2003, Science in China Series F: Information Sciences.

[9]  Chaolong Zhang,et al.  Global stability analysis of impulsive BAM type Cohen-Grossberg neural networks with delays , 2007, Appl. Math. Comput..

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

[11]  Jinde Cao,et al.  Stability in Cohen–Grossberg-type bidirectional associative memory neural networks with time-varying delays , 2006 .

[12]  X. Lou,et al.  Delay-dependent stochastic stability of delayed Hopfield neural networks with Markovian jump parameters , 2007 .

[13]  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.

[14]  Jinde Cao,et al.  Global output convergence of recurrent neural networks with distributed delays , 2007 .

[15]  Zidong Wang,et al.  On Global Stability of Delayed BAM Stochastic Neural Networks with Markovian Switching , 2009, Neural Processing Letters.

[16]  Chuanzhi Bai,et al.  Stability analysis of Cohen–Grossberg BAM neural networks with delays and impulses , 2008 .

[17]  Li Sheng,et al.  Robust stability of uncertain Markovian jumping Cohen–Grossberg neural networks with mixed time-varying delays , 2009 .