Exponential Synchronization for Neutral-Type Neural Network with Stochastic Perturbation and Markovian Jumping Parameters

The problem of exponential synchronization for neutral-type neural network with stochastic perturbation and Markovian switching parameters is considered in this article. Based on Lyapunov functional method and the theory of stochastic process, the exponential synchronism of the neural network is analyzed. By designing an adaptive state feedback controller, the exponential synchronization criterion of the neural network is obtained which can be represented as linear matrix inequality. Furthermore, the update rule for the adaptive controller is obtained. Finally, a simulation example is proposed to explain the availability of the results and method obtained in this article.

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

[2]  A. I. Matasov,et al.  Neutral Stochastic Differential Delay Equations with Markovian Switching , 2003 .

[3]  Peng Shi,et al.  Stochastic Synchronization of Markovian Jump Neural Networks With Time-Varying Delay Using Sampled Data , 2013, IEEE Transactions on Cybernetics.

[4]  Fei Liu,et al.  Neural network based stochastic optimal control for nonlinear Markov jump systems , 2010 .

[5]  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).

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

[7]  Yan Gao,et al.  Mode and Delay-Dependent Adaptive Exponential Synchronization in $p$th Moment for Stochastic Delayed Neural Networks With Markovian Switching , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[8]  Xiaodi Li,et al.  Global robust stability for stochastic interval neural networks with continuously distributed delays of neutral type , 2010, Appl. Math. Comput..

[9]  Jun Zhou,et al.  Almost sure adaptive asymptotically synchronization for neutral-type multi-slave neural networks with Markovian jumping parameters and stochastic perturbation , 2016, Neurocomputing.

[10]  Jun Zhou,et al.  Master‐slave synchronization for coupled neural networks with Markovian switching topologies and stochastic perturbation , 2018 .

[11]  Xuerong Mao,et al.  Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching , 2008 .

[12]  Yuqing Sun,et al.  Adaptive exponential stabilization of neutral-type neural network with Lévy noise and Markovian switching parameters , 2018, Neurocomputing.

[13]  H. Karimi,et al.  Adaptive synchronization of master–slave systems with mixed neutral and discrete time‐delays and nonlinear perturbations , 2012 .

[14]  Quanyan Zhu,et al.  Adaptive Exponential Synchronization of Multislave Time-Delayed Recurrent Neural Networks With Lévy Noise and Regime Switching , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[15]  Peng Shi,et al.  Passivity Analysis for Discrete-Time Stochastic Markovian Jump Neural Networks With Mixed Time Delays , 2011, IEEE Transactions on Neural Networks.

[16]  Jun Zhou,et al.  Stability Analysis and Application for Delayed Neural Networks Driven by Fractional Brownian Noise , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[17]  Ju H. Park.  Synchronization of cellular neural networks of neutral type via dynamic feedback controller , 2009 .