A Fixed-Time Stable Neurodynamic Model for Solving General Nonlinear Projection Equations

Source abstract

A general nonlinear projection equation is investigated in this paper. Under mild conditions, the uniqueness of the solution, a bound of the residual and an error bound for this equation are given. Based on the properties of the general nonlinear projection equation, a neurodynamic model for solving this equation is proposed and the fixed-time stability is proved. As an application, the model is applied to solve the semi-smooth projection equation. Numerical results demonstrate the effectiveness of the proposed method.