Weak maximum principle for optimal control problems of nonsmooth systems

被引：1

作者：

Ilter, Serkan ^{[1
]}

机构：

[1] Istanbul Univ, Fac Sci, TR-34134 Istanbul, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 03期

关键词：

Optimal control; Maximum principle; Nonsmooth analysis;

D O I：

10.1016/j.amc.2011.03.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by considering vector-valued maximum type functions satisfying Lipschitz condition, and optimal control systems with continuous-time which is governed by systems of ordinary differential equation, we derive results similar to Pontryagin's maximum principle and properties concerning the generalized Jacobian set for optimal control problems of these systems. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：805 / 808

页数：4

共 50 条

[1] Weak maximum principle for optimal control problems of nonsmooth systems
Istanbul University, Faculty of Science, 34134, Vezneciler, Istanbul, Turkey
Appl. Math. Comput., 3 (805-808):
[2] A Weak Maximum Principle for Optimal Control Problems with Nonsmooth Mixed Constraints
M. d. R. de Pinho
P. Loewen
G. N. Silva
Set-Valued and Variational Analysis, 2009, 17 : 203 - 221
[3] A Weak Maximum Principle for Optimal Control Problems with Nonsmooth Mixed Constraints
de Pinho, M. d. R.
Loewen, P.
Silva, G. N.
SET-VALUED AND VARIATIONAL ANALYSIS, 2009, 17 (02) : 203 - 221
[4] Discrete Maximum Principle for Nonsmooth Optimal Control Problems with Delays
B. S. Mordukhovich
I. Shvartsman
Cybernetics and Systems Analysis, 2002, 38 (2) : 255 - 264
[5] On Feedback Maximum Principle for Nonsmooth Optimal Impulsive Control Problems
Staritsyn, Maxim
Sorokin, Stepan
2017 CONSTRUCTIVE NONSMOOTH ANALYSIS AND RELATED TOPICS (DEDICATED TO THE MEMORY OF V.F. DEMYANOV) (CNSA), 2017, : 308 - 311
[6] Maximum principle for nonsmooth optimal impulse problems
Dykhta, V
Samsonuk, O
NONLINEAR CONTROL SYSTEMS 2001, VOLS 1-3, 2002, : 1303 - 1307
[7] Nonsmooth Approximate Maximum Principle in Optimal Control
Mordukhovich, Boris S.
Shvartsman, Ilya
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 7331 - 7333
[8] Weak maximum principle for optimal control problems with mixed constraints
de Pinho, MDR
Ilchmann, A
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 48 (08) : 1179 - 1196
[9] A Maximum Principle for Optimal Control Problems Involving Sweeping Processes with a Nonsmooth Set
de Pinho, Maria do Rosario
Ferreira, Maria Margarida A.
Smirnov, Georgi
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2023, 199 (01) : 273 - 297
[10] A Maximum Principle for Optimal Control Problems Involving Sweeping Processes with a Nonsmooth Set
do Rosario de Pinho, Maria
Ferreira, Maria Margarida A.
Smirnov, Georgi
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2023,

← 1 2 3 4 5 →