Stabilization of highly nonlinear hybrid neutral stochastic neural networks with time-varying delays by variable-delay feedback control

Unlike previously considered neutral stochastic differential equations (NSDEs), this article constructs a new type of highly nonlinear hybrid neutral stochastic neural networks (NSNNs) with variable delays, which is inherently unstable. Due to the instability of the original system, we aim to establish a variable-delay feedback control function so that the augmented system is stable. The main contributions of this article are as follow: Firstly, discriminant result of the existence and uniqueness of the system solution is provided, because this is the precondition of studying neurodynamic system. Secondly, four results of the stabilization of the controlled system are given respectively, and relevant criteria are framed. In particular, the coefficients of the system discussed in this article grow polynomially. Finally, the feasibility of the theoretical results is illustrated by an example. (c) 2022 Elsevier B.V. All rights reserved.