This brief investigates nonautonomous stochastic reaction-diffusion neural-network models with S-type distributed delays. First, the existence and uniqueness of mild solution are studied under the Lipschitz condition without the linear growth condition. Due to the existence of a nonautonomous reaction-diffusion term and the infinite dimensional Wiener process, the criteria for the well-posedness of the models are established based on the evolution system theory. Then, the S-type distributed delay, which is an infinite delay, is handled by the truncation method, and sufficient conditions for the global exponential stability are obtained by constructing a simple Lyapunov-Krasovskii functional candidate. Finally, neural-network examples and an illustrative example are given to show the applications of the obtained results.
|Number of pages||6|
|Journal||IEEE Transactions on Neural Networks and Learning Systems|
|Early online date||26 Sep 2018|
|Publication status||Published - May 2019|
- Existence-uniqueness and stability
- S-type delay.
- mild solution
- stochastic neural network