Step-like Contrast Structure of Singularly Perturbed Optimal Control Problem

作者：Wu, Limeng^*; Ni, Mingkang; Lu, Haibo

来源：Electronic Journal of Qualitative Theory of Differential Equations, 2011, (46): 1-16.

DOI：10.14232/ejqtde.2011.1.46

• Singular perturbation
• optimal control
• contrast structure

In this paper, the existence of step-like contrast structure for a class of singularly perturbed optimal control problem is shown by the 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. Finally, an example is presented to show the result.

• 出版日期2011
• 单位华东师范大学; 上海交通大学; 上海大学