Optimality conditions with feedback controls for optimal impulsive control problems

被引：2
作者：
Dykhta, Vladimir A. [1 ]
Samsonyuk, Olga N. [1 ]
机构：
[1] SB RAS, Matrosov Inst Syst Dynam & Control Theory, Irkutsk, Russia
来源：
IFAC PAPERSONLINE | 2018年 / 51卷 / 32期
基金：
俄罗斯基础研究基金会;
关键词：
Measure-driven differential equations; trajectories of bounded variation; feedback impulsive controls; optimality conditions;
D O I：
10.1016/j.ifacol.2018.11.472
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper concerns with optimal impulsive control problems with trajectories of bounded variation. Necessary optimality conditions based on weakly monotone solutions of the Hamilton Jacobi inequality and feedback controls are discussed. A particular attention is paid to necessary optimality conditions with feedback controls, called Feedback minimum principle. The latter is generalized the corresponding principle for classical optimal control problems and is formulated in terms of Pontryagin Maximum Principle. An example illustrating these results is considered. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
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页码：509 / 514
页数：6
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