Stability of delayed Hopfield neural networks under a sublinear expectation framework

Abstract In this paper, we consider the stability of a class of stochastic delay Hopfield neural networks driven by G -Brownian motion. Under a sublinear expectation framework, we give the definition of exponential stability in mean square and construct some conditions such that the stochastic system is exponentially stable in mean square. Moreover, we also consider the stability of the Euler numerical solution of such equation. Finally, we give an example and its numerical simulation to illustrate our results.