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Dynamic optimization problems with bounded terminal conditions
Authors:A. Y. Lee
Affiliation:(1) Stanford University, Stanford, California;(2) Present address: General Motors Research Laboratories, Warren, Michigan
Abstract:Bounded terminal conditions of nonlinear optimization problems are converted to equality terminal conditions via the Valentine's device. In so doing, additional unknown parameters are introduced into the problem. The transformed problems can still be easily solved using the sequential gradient-restoration algorithm (SGRA) via a simple augmentation of the unknown parameter vector pgr. Three example problems with bounded terminal conditions are solved to verify this technique.This research was supported in part by the National Aeronautics and Space Administration under NASA Grant No. NCC 2-106.
Keywords:Sequential gradient-restoration algorithm  nonlinear optimization problems  bounded terminal conditions  Valentine's device
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