Investigation of Controllability and Regularity Conditions for State Constrained Problems

被引：13
|
作者：
Arutyunov, Aram V. [1 ]
Karamzin, Dmitry Yu. [1 ,2 ]
Pereira, Fernando L. [1 ,3 ]
机构：
[1] RUDN Univ, Miklukho Maklaya Str 6, Moscow 117198, Russia
[2] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Vavilova St 40, Moscow 119333, Russia
[3] Univ Porto, SYSTEC Fac Engn, Rua Dr Roberto Frias, P-4200465 Oporto, Portugal
来源：
IFAC PAPERSONLINE | 2017年 / 50卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
optimal control; state constraints; maximum principle; non-degeneracy; controllability conditions; MAXIMUM PRINCIPLE; LIPSCHITZ CONTINUITY;
D O I：
10.1016/j.ifacol.2017.08.890
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A new method to prove non-degenerate optimality conditions in optimal control problems with state constraints of inequality type is proposed. This method involves the second order derivative of the state constraint function and is based on the notion of the extended Hamilton-Pontryagin function and on the related optimality conditions. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
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页码：6295 / 6302
页数：8
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