SECOND-ORDER ITERATIVE METHOD FOR OPTIMAL CONTROL PROBLEMS OF MULTISTAGE PROCESSES

被引：0

作者：

Baturin, V. A. ^{[1
]}

Sizykh, V. N. ^{[2
]}

Daneey, A. V. ^{[2
]}

机构：

[1] Russian Acad Sci, VM Matrosov Inst Syst Dynam & Control Theory, Siberian Branch, St Lermontova 134, Irkutsk, Russia

[2] Irkutsk State Transport Univ, St Chernyshevskogo 15, Irkutsk, Russia

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2022年 / 26卷 / 01期

关键词：

optimal control; improvement method; inference algorithms; theory of Krotov; sufficient conditions; strong local minimum; HYBRID SYSTEMS;

D O I：

10.17654/0974324322002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper proposes a second-order strong improvement method for optimal control problems with non-fixed stage time intervals. The technique of inference algorithms is based on the theory of V. F. Krotov. Conditions are given for the control to be improvable, which are closely related to the necessary and sufficient conditions for a strong local minimum.

引用

页码：21 / 38

页数：18

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