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

共 25 条

[1]

Abraham R., 1983, MANIFOLDS TENSOR ANA

[2]

AGRACHEV A, 1997, IN PRESS AMS P BOULD

[3]

Agrachev A.A., 1998, P STEKLOV I MATH, V220, p[4, 8]

[4] Abnormal sub-Riemannian geodesics: Morse index and rigidity [J].

Agrachev, AA ;

Sarychev, AV .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1996, 13 (06) :635-690

[5]

AGRACHEV AA, 1997, GEOMETRY FEEDBACK OP, P1

[6]

AGRACHEV AA, 1989, ITOGI NAUKI VINITI S, V35, P109

[7]

AGRACHEV AA, 1995, J MATH SYSTEMS ESTIM, V5, P127

[8] A SURVEY OF NETWORK RELIABILITY AND DOMINATION THEORY [J].

AGRAWAL, A ;

BARLOW, RE .

OPERATIONS RESEARCH, 1984, 32 (03) :478-492

[9]

[Anonymous], 1980, MATH METHODS CLASSIC

[10] CONTROLLABILITY ALONG A TRAJECTORY - A VARIATIONAL APPROACH [J].

BIANCHINI, RM ;

STEFANI, G .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1993, 31 (04) :900-927

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