Year: 2012
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 1 : pp. 2–13
Abstract
The existence of step-like contrast structure for a class of singularly perturbed optimal control problem is presented by contrast structure theory. By means of direct scheme of boundary function method, we construct the uniformly valid asymptotic solution for the singularly perturbed optimal control problem. As an application, an example is given to illustrate the main result in this paper.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1110-m11si07
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 1 : pp. 2–13
Published online: 2012-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Singular perturbation Optimal control problem Contrast structure.
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Asymptotic Solution of a Singularly Perturbed Linear-Quadratic Problem in Critical Case with Cheap Control
Hoai, Nguyen Thi
Journal of Optimization Theory and Applications, Vol. 175 (2017), Iss. 2 P.324
https://doi.org/10.1007/s10957-017-1156-6 [Citations: 7]