STRUCTURAL STABILITY OF BANG-BANG TRAJECTORIES WITH A DOUBLE SWITCHING TIME IN THE MINIMUM TIME PROBLEM

被引：6

作者：

Poggiolini, Laura ^{[1
]}

机构：

[1] Univ Florence, Dipartimento Matemat & Informat Ulisse Dini, I-50139 Florence, Italy

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2017年 / 55卷 / 06期

关键词：

Hamiltonian methods; bang-bang controls; sufficient second order conditions; SUFFICIENT OPTIMALITY CONDITIONS; LOCAL OPTIMALITY; EXTREMALS;

D O I：

10.1137/16M1083761

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 consider the problem of structural stability of strong local optimizers for the minimum time problem in the case when the nominal problem has a bang-bang strongly local optimal control which exhibits a double switch.

引用

页码：3779 / 3798

页数：20

共 18 条

[1] Strong optimality or a bang-bang trajectory [J].

Agrachev, AA ;

Stefani, G ;

Zezza, P .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2002, 41 (04) :991-1014

[2]

Felgenhauer U., 2004, International Journal of Applied Mathematics and Computer Science, V14, P447

[3]

Felgenhauer U, 2009, CONTROL CYBERN, V38, P1305

[4]

Hestenes MR., 1951, Pac. J. Math, V1, P525, DOI [10.2140/pjm.1951.1.525, DOI 10.2140/PJM.1951.1.525]

[5]

Kim JHR, 2003, 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, P3281

[6]

Malanowski K., 1994, Control and Cybernetics, V23, P61

[7]

Malanowski K., 1993, Adv Math Sci Appl, V2, P397, DOI [10.1515/9783110883237.2557, DOI 10.1515/9783110883237.2557]

[8]

MALANOWSKI K., 2001, DISSERTATIONES MATH, V394

[9] Second order sufficient conditions for time-optimal bang-bang control [J].

Maurer, H ;

Osmolovskii, NP .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2004, 42 (06) :2239-2263

[10]

Maurer H, 2003, CONTROL CYBERN, V32, P555

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