A neurodynamic optimization approach for complex-variables programming problem.
Journal:
Neural networks : the official journal of the International Neural Network Society
Published Date:
Jun 13, 2020
Abstract
A neural network model upon differential inclusion is designed for solving the complex-variables convex programming, and the chain rule for real-valued function with the complex-variables is established in this paper. The model does not need to choose penalty parameters when applied to practical problems, which makes it easier to design. The result is obtained that its state reaches the feasible region in finite time. Furthermore, the convergence for its state to an optimal solution is proved. Some typical examples are shown for the effectiveness of the designed model.