On the occurrence of intermediate local minimizers that are not strong local minimizers

被引：5
|
作者：
Vinter, RB
Woodford, PD
机构：
[1] CTR PROC SYST ENGN,LONDON SW7 2BT,ENGLAND
[2] DEPT ELECT & ELECT ENGN,LONDON SW7 2BT,ENGLAND
来源：
SYSTEMS & CONTROL LETTERS | 1997年 / 31卷 / 04期
基金：
英国工程与自然科学研究理事会;
关键词：
optimal control; regularity of minimizers; necessary conditions; Lavrentiev phenomenon;
D O I：
10.1016/S0167-6911(97)00041-8
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Recently, it has been shown by Mordukhovich that certain necessary conditions of optimality in Control Theory are satisfied at ''intermediate local minimizers'', in addition to strong local minimizers. It is of interest to know then whether the class of intermediate local minimizers differs from that of strong local minimizers. We give examples, illustrating that the two concepts of minimizers are indeed distinct, and also distinguish intermediate minimizers of different rank. We also extend the class of necessary conditions which are known to be satisfied at an intermediate local minimizer. (C) 1997 Elsevier Science B.V.
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页码：235 / 242
页数：8
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