Sub-Finsler Problem on the Cartan Group


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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 flow is constructed, and estimates for the number of switchings on bang-bang and mixed trajectories are obtained.

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A. Ardentov

Ailamazyan Program Systems Institute, Russian Academy of Sciences

编辑信件的主要联系方式.
Email: aaa@pereslavl.ru
俄罗斯联邦, Pereslavl-Zalessky, Yaroslavl oblast, 152020

Yu. Sachkov

Ailamazyan Program Systems Institute, Russian Academy of Sciences

Email: aaa@pereslavl.ru
俄罗斯联邦, Pereslavl-Zalessky, Yaroslavl oblast, 152020

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