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Mar.  2016
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WU Li-Meng, NI Ming-Kang, LU Hai-Bo, ZHANG Juan. Contrast structure of higher dimensional singularly perturbed optimal control problem[J]. Journal of East China Normal University (Natural Sciences), 2016, (1): 19-26. doi: 10.3969/j.issn.1000-5641.2016.01.003
Citation: WU Li-Meng, NI Ming-Kang, LU Hai-Bo, ZHANG Juan. Contrast structure of higher dimensional singularly perturbed optimal control problem[J]. Journal of East China Normal University (Natural Sciences), 2016, (1): 19-26. doi: 10.3969/j.issn.1000-5641.2016.01.003

Contrast structure of higher dimensional singularly perturbed optimal control problem

doi: 10.3969/j.issn.1000-5641.2016.01.003
  • Received Date: 2014-12-29
  • Publish Date: 2016-01-25
  • In this paper, a class of linear high-dimensional singularly perturbed optimal control problem is discussed. By means of k+\sigma exchange lemma, we prove the existence\linebreak of contrast structure solution for the singularly perturbed optimal control problem. Meanwhile, by virtue of the direct scheme method which is based on boundary function method, we construct the uniformly valid formal asymptotic solution. Finally, an example is presented to illustrate the main results.
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