On the Local Planners in the RRT* for Dynamical Systems and Their Reusability for Compound Cost Functionals

In this article, we study properties of local planners for nonholonomic dynamical systems to achieve asymptotic global optimality in a sampling-based planner, namely, the RRT*. Formal results are presented concerning length optimal trajectories under a nonholonomic metric, more specifically, an analysis about necessary or sufficient conditions for the local planners is provided. The analysis makes...