This paper presents an efficient approach based on Hopfield network for solving nonlinear optimization problems, with polynomial objective function, polynomial equality constraints and polynomial inequality constraints. A modified Hopfield network is developed and its stability and convergence is analyzed in the paper. Then a mapping of nonlinear optimization problems is formulated using the modified Hopfield network. Simulation results are provided to demonstrate the performance of the proposed neural network. © Springer-Verlag Berlin Heidelberg 2007.
CITATION STYLE
Yu, C., & Luo, Y. (2007). A modified hopfield network for nonlinear programming problem solving. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4493 LNCS, pp. 302–310). Springer Verlag. https://doi.org/10.1007/978-3-540-72395-0_39
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