Time-optimal solutions of Parallel navigation and Finsler geodesics

被引：11
|
作者：
Rafie-Rad, M. [1 ]
机构：
[1] Mazandaran Univ, Fac Sci, Dept Math, Babol Sar, Iran
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 05期
关键词：
Finsler geometry; Parallel navigation; Kinematics; Optimal control; Pontryagin maximum principle;
D O I：
10.1016/j.nonrwa.2010.02.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A geometric approach to kinematics in control theory is illustrated. A non-linear control system is derived for the problem and the Pontryagin maximum principle is used to find the time-optimal trajectories of the Parallel navigation. It is proved that the time-optimal relative trajectories of the Parallel navigation are geodesics of a Finsler metric. It is notable that the approach has the advantages using feedback. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3809 / 3814
页数：6
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