Fixed-time stability of projection neurodynamic network for solving pseudomonotone variational inequalities

Abstract

In this paper, we propose a novel modified neurodynamic network (MNN) based on projection to solve pseudomonotone variational inequalities. Under the strong pseudo-monotonicity and Lipschitz continuous assumptions, the MNN admits a unique solution. The relations between the MNN and the corresponding neurodynamic network are obtained. Moreover, we establish the globally fixed-time stability of the MNN. The convergence time of the MNN is not depended on the initial conditions and uniformly bounded. Numerical examples are also reported to show the effectiveness and superiority of the MNN.