A Predefined-Time Neurodynamic Approach for Solving Generalized Absolute Value Equations

This paper proposes a predefined-time stable neurodynamic approach for solving generalized absolute value equations. In contrast to conventional fixed-time stability methods, the proposed approach provides greater flexibility and broader applicability through the inclusion of an adjustable time parameter. Under appropriate conditions, the method is rigorously proven to converge to the unique solution within a predefined time frame. Finally, numerical simulations are conducted to validate the convergence performance of the proposed neurodynamic method.