Zeroing neural network methods for solving the Yang-Baxter-like matrix equation

摘要

By solving the idempotent matrix equation Y-2 = Y and using the zeroing neural network model, an indirect numerical solution for the Yang-Baxter-like matrix equation is established. By defining the error function and using the zeroing neural network, a direct method is suggested for solving the time-invariant and time-varying Yang-Baxter-like matrix equations. The asymptotic convergence and the fixed-time convergence are discussed. Four numerical examples are offered to illustrate the efficacy of the suggested methods. (C) 2019 Elsevier B.V. All rights reserved.