Necessary and sufficient conditions for optimal control problems with multiple terminal constraints

被引：0
|
作者：
Jo, JW [1 ]
Prussing, JE [1 ]
机构：
[1] Univ Illinois, Dept Aeronaut & Astronaut Engn, Talbot Lab 306C, Urbana, IL 61801 USA
来源：
SPACEFLIGHT MECHANICS 1998, VOL 99, PTS 1 AND 2 | 1998年 / 99卷
关键词：
D O I：
暂无
中图分类号：
V [航空、航天];
学科分类号：
08 ; 0825 ;
摘要：
In the case of multiple terminal constraints, the procedure for applying second-order necessary and sufficient conditions is slightly more complicated than in the scalar case. The modified procedure is explained and three example problems are analyzed: a minimum-time problem, the shortest path between two points on a sphere, and an application of Hamilton's Principle to a circular orbit in an inverse-square gravitational field. When the circular orbit violates the second-order conditions, a genetic algorithm is used to determine an alternate path of lower cost.
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页码：883 / 905
页数：23
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