Bang-singular-bang extremals: sufficient optimality conditions

被引：0
|
作者：
L. Poggiolini
G. Stefani
机构：
[1] Università degli Studi di Firenze,Dipartimento di Sistemi e Informatica
来源：
Journal of Dynamical and Control Systems | 2011年 / 17卷
关键词：
Optimal control; minimum time; sufficient conditions; Hamiltonian methods; 49K15; 49K30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we give second-order sufficient conditions for strong local optimality of a bang-singular-bang extremal in the minimum time problem. The conditions are given in terms of some regularity assumptions on the extremal and of the coercivity of the extended second variation associated with the minimum time problem with fixed endpoints on the singular arc. The conditions are close to the necessary conditions in the usual sense; namely, we require strict inequalities where the necessary conditions have nonstrict inequalities.
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页码：469 / 514
页数：45
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