Almost Sure Asymptotical Adaptive Synchronization for Neutral-Type Neural Networks with Stochastic Perturbation and Markovian Switching

作者：Zhou, Wuneng^*; Yang, Xueqing; Yang, Jun; Dai, Anding; Liu, Huashan

来源：Mathematical Problems in Engineering, 2014, 2014: 479084.

DOI：10.1155/2014/479084

• DIFFERENTIAL-DELAY EQUATIONS
• EXPONENTIAL SYNCHRONIZATION
• LAG SYNCHRONIZATION
• DISTRIBUTED DELAYS
• ROBUST STABILITY
• DISCRETE

The problem of almost sure (a.s.) asymptotic adaptive synchronization for neutral-type neural networks with stochastic perturbation and Markovian switching is researched. Firstly, we proposed a new criterion of a. s. asymptotic stability for a general neutral-type stochastic differential equation which extends the existing results. Secondly, based upon this stability criterion, by making use of Lyapunov functional method and designing an adaptive controller, we obtained a condition of a. s. asymptotic adaptive synchronization for neutral-type neural networks with stochastic perturbation and Markovian switching. The synchronization condition is expressed as linear matrix inequality which can be easily solved by Matlab. Finally, we introduced a numerical example to illustrate the effectiveness of the method and result obtained in this paper.

• 出版日期2014
• 单位东华大学