An invariant second variation in optimal control

被引：24

作者：

Agrachev, A

Stefani, G

Zezza, P

机构：

[1] VA Steklov Math Inst, Moscow 117966, Russia

[2] Dipartimento Matemat Applicata, I-50139 Florence, Italy

[3] Dipartimento Matemat DEFAS, I-50134 Florence, Italy

来源：

INTERNATIONAL JOURNAL OF CONTROL | 1998年 / 71卷 / 05期

关键词：

D O I：

10.1080/002071798221533

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For an optimal control problem we define a second variation which is invariant under change of coordinates, and realize it as a linear-quadratic problem. When the strong Legendre condition is satisfied we give a complete Hamiltonian characterization of the index and of the nullity of the second variation.

引用

页码：689 / 715

页数：27

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