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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… Click to show full abstract
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.
Keywords:
sub finsler;
problem;
problem cartan;
finsler problem;
cartan group
Journal Title: Doklady Mathematics
Year Published: 2019
Link to full text (if available)
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Journal Title: Doklady Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!