Stratifiable Families of Extremals and Sufficient Conditions for Optimality in Optimal Control Problems

被引：0
|
作者：
U. Ledzewicz
A. Nowakowski
H. Schättler
机构：
[1] Southern Illinois University at Edwardsville,Department of Mathematics and Statistics
[2] Institute of Mathematics,Department of Electrical and Systems Engineering
[3] University of Łódź,undefined
[4] Łódź,undefined
[5] Washington University,undefined
来源：
Journal of Optimization Theory and Applications | 2004年 / 122卷
关键词：
Optimal control; field theory; method of characteristics; singularities; strong local minima;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is shown that, if a parametrized fämily of extremals F can be stratified in a way compatible with the flow map generated by F, then those trajectories of the family which realize the minimal values of the cost in F are indeed optimal in comparison with all trajectories which lie in the region R covered by the trajectories of F. It is not assumed that F is a field covering the state space injectively. As illustration, an optimal synthesis is constructed for a system where the flow of extremals exhibits a simple cusp singularity.
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页码：345 / 370
页数：25
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