Optimize the Compactification of the Star Domain

Develop a refined compactification of the star domain h by determining the smallest compact subset that contains all trajectories of interest for the Reinhardt control problem, and provide optimized parameter choices yielding the minimal such compact region.

Background

To facilitate analysis and computation, the authors introduce a compactification of the star domain. They note that the chosen parameters and resulting compact region have not been optimized for minimal size and explicitly defer such optimization.

Identifying the minimal compact set that contains all relevant trajectories would strengthen both theoretical understanding and practical numerical approaches to the Reinhardt control problem.