Volume 30, Issue 1
Step-Like Contrast Structure of Singularly Perturbed Optimal Control Problem

Mingkang Ni & Limeng Wu

J. Comp. Math., 30 (2012), pp. 2-13

Published online: 2012-02

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • Keywords

Singular perturbation Optimal control problem Contrast structure

  • AMS Subject Headings

34B15 34E15.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-30-2, author = {Mingkang Ni and Limeng Wu}, title = {Step-Like Contrast Structure of Singularly Perturbed Optimal Control Problem}, journal = {Journal of Computational Mathematics}, year = {2012}, volume = {30}, number = {1}, pages = {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.}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1110-m11si07}, url = {http://global-sci.org/intro/article_detail/jcm/8412.html} }
TY - JOUR T1 - Step-Like Contrast Structure of Singularly Perturbed Optimal Control Problem AU - Mingkang Ni & Limeng Wu JO - Journal of Computational Mathematics VL - 1 SP - 2 EP - 13 PY - 2012 DA - 2012/02 SN - 30 DO - http://doi.org/10.4208/jcm.1110-m11si07 UR - https://global-sci.org/intro/article_detail/jcm/8412.html KW - Singular perturbation KW - Optimal control problem KW - Contrast structure AB - 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.
Mingkang Ni & Limeng Wu. (1970). Step-Like Contrast Structure of Singularly Perturbed Optimal Control Problem. Journal of Computational Mathematics. 30 (1). 2-13. doi:10.4208/jcm.1110-m11si07
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