Strong local optimality for bang-bang-singular extremals in single input control problems

被引：3
|
作者：
Poggiolini, Laura [1 ]
Stefani, Gianna [1 ]
机构：
[1] Univ Firenze, Dipartimento Matemat & Informat Ulisse Dini, Florence, Italy
来源：
IFAC PAPERSONLINE | 2017年 / 50卷 / 01期
关键词：
Optimal control; bang-bang controls; singular controls; Hamiltonian methods; sufficient conditions; DOUBLE SWITCHING TIME; STRUCTURAL STABILITY; TRAJECTORIES;
D O I：
10.1016/j.ifacol.2017.08.2022
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we consider a Mayer problem for a single input control affine dynamics and we give sufficient conditions for strong local optimality of a reference trajectory, consisting of two bang arcs followed by a singular one. We use a Hamiltonian approach and its connection with the second order conditions. A case study is proposed. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
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页码：6128 / 6133
页数：6
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