Neurodynamic Network for Absolute Value Equations: A Fixed-Time Convergence Technique

Xingxing Ju, Chuandong Li, Xin Han, Xing He

Abstract: In this brief, a novel projection neurodynamic network with fixed-time convergence is proposed for solving absolute value equations. In contrast to most existing projection neurodynamic networks, a conservative settling time of the proposed projection neurodynamic network is presented. It is shown that the solution of the proposed approach converges to the solution of the corresponding absolute value equation in fixed-time under some mild conditions. Finally, a numerical example is presented to validate the main results.