On transformations of degenerate optimal control problems (Q462117)

Based on the author's abstract: Practical algorithms for transforming a system with unbounded controls to a new model regular from the point of view of known general optimal control methods are considered. In addition to a transformation to a certain derivative system on the entire time interval, which is traditional for degenerate problems, the author considers a family of such transformations, choosing a specific one at every moment of time. As result, a controllable system which is in a certain sense equivalent to the original one is obtained, and one operates with it like a regular system.