Mean-Square Exponential Input-to-State Stability of Stochastic Fuzzy Recurrent Neural Networks with Multiproportional Delays and Distributed Delays

Tianyu Wang, Quanxin Zhu, Jingwei Cai
2018 Mathematical Problems in Engineering  
We are interested in a class of stochastic fuzzy recurrent neural networks with multiproportional delays and distributed delays. By constructing suitable Lyapunov-Krasovskii functionals and applying stochastic analysis theory, Ito^'s formula and Dynkin's formula, we derive novel sufficient conditions for mean-square exponential input-to-state stability of the suggested system. Some remarks and discussions are given to show that our results extend and improve some previous results in the
more » ... re. Finally, two examples and their simulations are provided to illustrate the effectiveness of the theoretical results.
doi:10.1155/2018/6289019 fatcat:nr6cy4mar5hhdfvszuvjwqi7si