Article ID: | iaor20114129 |
Volume: | 72 |
Issue: | 4 |
Start Page Number: | 727 |
End Page Number: | 739 |
Publication Date: | Apr 2011 |
Journal: | Automation and Remote Control |
Authors: | Gurman I, Ni Kang |
Keywords: | degeneracy, optimal control |
The paper is the second part of the review of the results obtained by the special theory of the degenerate problems of optimal control and its applications, including the newest ones. Consideration was given to the methods based on the rearrangement of the degenerate problems in the smaller‐order regular derivative problems, the main types of solutions of the derivative problems, and the issues of their realization as the generalized solutions of the original problems. The generalized conditions for their optimality were derived. Examples, both methodological and applied, were presented to demonstrate the efficiency of these methods.