A maximum principle for smooth optimal impulsive control problems with multipoint state constraints

被引：13
|
作者：
Dykhta, V. A. [1 ]
Samsonyuk, O. N. [1 ]
机构：
[1] Russian Acad Sci, Inst Syst Dynam & Control Theory, Siberian Branch, Irkutsk 664033, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2009年 / 49卷 / 06期
基金：
俄罗斯基础研究基金会;
关键词：
impulsive control; trajectories of bounded variation; intermediate state constraints; maximum principle; smooth constrained optimal control problems; OPTIMAL MULTIPROCESSES;
D O I：
10.1134/S0965542509060050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A nonlinear optimal impulsive control problem with trajectories of bounded variation subject to intermediate state constraints at a finite number on nonfixed instants of time is considered. Features of this problem are discussed from the viewpoint of the extension of the classical optimal control problem with the corresponding state constraints. A necessary optimality condition is formulated in the form of a smooth maximum principle; thorough comments are given, a short proof is presented, and examples are discussed.
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页码：942 / 957
页数：16
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