Mode and Delay-Dependent Adaptive Exponential Synchronization in $p$th Moment for Stochastic Delayed Neural Networks With Markovian Switching

In this brief, the analysis problem of the mode and delay-dependent adaptive exponential synchronization in th moment is considered for stochastic delayed neural networks with Markovian switching. By utilizing a new nonnegative function and the -matrix approach, several sufficient conditions to ensure the mode and delay-dependent adaptive exponential synchronization in th moment for stochastic delayed neural networks are derived. Via the adaptive feedback control techniques, some suitable parameters update laws are found. To illustrate the effectiveness of the -matrix-based synchronization conditions derived in this brief, a numerical example is provided finally.

[1]  Huaguang Zhang,et al.  Delay-Dependent Guaranteed Cost Control for Uncertain Stochastic Fuzzy Systems With Multiple Time Delays , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[2]  B. Øksendal Stochastic differential equations : an introduction with applications , 1987 .

[3]  Zidong Wang,et al.  Exponential Stabilization of a Class of Stochastic System With Markovian Jump Parameters and Mode-Dependent Mixed Time-Delays , 2010, IEEE Transactions on Automatic Control.

[4]  Tianping Chen,et al.  Power-Rate Global Stability of Dynamical Systems With Unbounded Time-Varying Delays , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.

[5]  Song Zhu,et al.  Passivity analysis of stochastic delayed neural networks with Markovian switching , 2011, Neurocomputing.

[6]  Tianping Chen,et al.  Chaotic Lag Synchronization of Coupled Delayed Neural Networks and Its Applications in Secure Communication , 2005 .

[7]  Robert J. Plemmons,et al.  Nonnegative Matrices in the Mathematical Sciences , 1979, Classics in Applied Mathematics.

[8]  Xuerong Mao,et al.  Stochastic Differential Equations With Markovian Switching , 2006 .

[9]  Peng Zhang,et al.  Nonlinear Dimensionality Reduction by Locally Linear Inlaying , 2009, IEEE Transactions on Neural Networks.

[10]  Jinde Cao,et al.  Exponential Synchronization of Linearly Coupled Neural Networks With Impulsive Disturbances , 2011, IEEE Transactions on Neural Networks.

[11]  Jinde Cao,et al.  Adaptive synchronization under almost every initial data for stochastic neural networks with time-varying delays and distributed delays , 2011 .

[12]  E. Boukas,et al.  Stability and Stabilization of Markovian Jump Linear Systems with Partly Unknown Transition Probabilities , 2008 .

[13]  Chunmei Duan,et al.  Exponential stability of hybrid stochastic neural networks with mixed time delays and nonlinearity , 2009, Neurocomputing.

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

[15]  Jinde Cao,et al.  Adaptive synchronization for delayed neural networks with stochastic perturbation , 2008, J. Frankl. Inst..

[16]  Yonghui Sun,et al.  Adaptive lag synchronization of unknown chaotic delayed neural networks with noise perturbation , 2007 .