Singular extremals in L1-optimal control problems: sufficient optimality conditions

被引：1
|
作者：
Chittarao, Francesca C. [1 ]
Poggiolini, Laura [2 ]
机构：
[1] Aix Marseille Univ, Univ Toulon, LIS, CNRS, Marseille, France
[2] Univ Firenze, DiMaI, I-50139 Florence, Italy
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2020年 / 26卷
关键词：
Sufficient optimality conditions; control-affine systems; singular control; L-1; minimisation; minimum fuel problem; STRONG LOCAL OPTIMALITY; TIME;
D O I：
10.1051/cocv/2020023
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 are concerned with generalised L-1-minimisation problems, i.e. Bolza problems involving the absolute value of the control with a control-affine dynamics. We establish sufficient conditions for the strong local optimality of extremals given by the concatenation of bang, singular and inactive (zero) arcs. The sufficiency of such conditions is proved by means of Hamiltonian methods. As a by-product of the result, we provide an explicit invariant formula for the second variation along the singular arc.
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页数：33
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