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

الملخص EN

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.