Sub-Finsler Problem on the Cartan Group

Аннотация

A left-invariant \({{l}_{\infty }}\)-sub-Finsler problem on Cartan group is treated as a time-optimal control problem. Abnormal and singular normal trajectories are described, and their optimality is proved. A bang-bang phase flow is constructed, and estimates for the number of switchings on bang-bang and mixed trajectories are obtained.