Abstract (EN):
This article concerns the issues of the proper formulation of a certain class of bilevel optimal control problems with dynamics specified by sweeping processes. A typical instance of this class of problems arises in the motion control of a structured crowd in a confined space. By a structured crowd, it is meant that the population is organized in subsets of individuals that remain in a certain bounded set. The problem formulation is discussed and a solution concept is provided. Then, conditions under which the problem is proper or well-posed are derived.
Language:
English
Type (Professor's evaluation):
Scientific
No. of pages:
6