Sub-Finsler Problem on the Cartan Group
- 作者: Ardentov A.A.1, Sachkov Y.L.1
 - 
							隶属关系: 
							
- Ailamazyan Program Systems Institute, Russian Academy of Sciences
 
 - 期: 卷 99, 编号 1 (2019)
 - 页面: 20-22
 - 栏目: Mathematics
 - URL: https://journals.rcsi.science/1064-5624/article/view/225612
 - DOI: https://doi.org/10.1134/S1064562419010071
 - ID: 225612
 
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详细
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.
作者简介
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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