Collaborative neurodynamic optimization for solving nonlinear equations.
Neural Netw
; 165: 483-490, 2023 Aug.
Article
em En
| MEDLINE
| ID: mdl-37336033
ABSTRACT
A distributed optimization method for solving nonlinear equations with constraints is developed in this paper. The multiple constrained nonlinear equations are converted into an optimization problem and we solve it in a distributed manner. Due to the possible presence of nonconvexity, the converted optimization problem might be a nonconvex optimization problem. To this end, we propose a multi-agent system based on an augmented Lagrangian function and prove that it converges to a locally optimal solution to an optimization problem in the presence of nonconvexity. In addition, a collaborative neurodynamic optimization method is adopted to obtain a globally optimal solution. Three numerical examples are elaborated to illustrate the effectiveness of the main results.
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MEDLINE
Assunto principal:
Algoritmos
/
Redes Neurais de Computação
Idioma:
En
Ano de publicação:
2023
Tipo de documento:
Article