Sufficient optimality conditions for a bang-singular extremal in the minimum time problem

被引：0
|
作者：
Poggiolini, Laura [1 ]
Stefani, Gianna [1 ]
机构：
[1] Univ Florence, Dipartimento Matemat Applicata G Sansone, I-50121 Florence, Italy
来源：
CONTROL AND CYBERNETICS | 2008年 / 37卷 / 02期
关键词：
minimum time; second order sufficient conditions; bang-singular arc; Hamiltonian formalism;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper gives second order sufficient conditions for the strong local optimality of a bang-singular extremal in a minimum time problem. The conditions are given in terms of regularity assumptions on the extremal and of the coercivity of the extended second variation associated to the minimum time problem with fixed end-points on the singular arc. The conditions are close to the necessary ones in the usual sense, namely we require strict inequalities where necessary conditions have mild inequalities.
引用
收藏
页码：469 / 490
页数：22
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