The hybrid maximum principle is a consequence of pontryagin maximum principle

被引：67

作者：

Dmitruk, A. V. ^{[1
]}

Kaganovich, A. M. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, VMK MGU, Moscow 119992, Leninskie Gory, Russia

来源：

SYSTEMS & CONTROL LETTERS | 2008年 / 57卷 / 11期

基金：

俄罗斯基础研究基金会;

关键词：

hybrid system; optimal control problem; pontryagin maximum principle; endpoint constraints; jumps in adjoint variables; transversality conditions;

D O I：

10.1016/j.sysconle.2008.05.006

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We give a simple proof of the Maximum Principle for smooth hybrid control systems by reducing the hybrid problem to an optimal control problem of Pontryagin type and then by using the classical Pontryagin Maximum Principle. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：964 / 970

页数：7

共 8 条

[1]

Alekseev VM., 1979, Optimal Control

[2] Hybrid optimal control: case study of a car with gears [J].

D'Apice, C ;

Garavello, M ;

Manzo, R ;

Piccoli, B .

INTERNATIONAL JOURNAL OF CONTROL, 2003, 76 (13) :1272-1284

[3]

DMITRUK AV, 2008, NONLINEAR D IN PRESS, V6

[4] Hybrid necessary principle [J].

Garavello, M ;

Piccoli, B .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2005, 43 (05) :1867-1887

[5]

Milyutin A. A., 2004, MAXIMUM PRINCIPLE OP

[6]

Pontryagin L. S., 1961, MATH THEORY OPTIMAL

[7]

Sussmann H. J., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P425, DOI 10.1109/CDC.1999.832814

[8]

VOLIN UM, 1969, RADIOPHYSICS, V12, P1609

← 1 →