Turnpike Properties of Approximate Solutions of Discrete-Time Optimal Control Problems on Compact Metric Spaces

被引：0

作者：

Zaslavski, Alexander J. ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

VARIATIONAL AND OPTIMAL CONTROL PROBLEMS ON UNBOUNDED DOMAIN | 2014年 / 619卷

关键词：

HORIZON VARIATIONAL-PROBLEMS; INFINITE-HORIZON; CONTROL-SYSTEMS; CALCULUS;

D O I：

10.1090/conm/619/12392

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We study turnpike properties of nonautonomous discrete-time optimal control problems in a compact metric space which are determined by sequences of continuous objective functions. To have these properties means that the approximate solutions of the problems are determined mainly by the integrand, and are essentially independent of the choice of interval and endpoint conditions, except in regions close to the endpoints.

引用

页码：209 / 224

页数：16

共 50 条

[1] Turnpike Properties of Approximate Solutions of Nonconcave Discrete-Time Optimal Control Problems
Zaslavski, Alexander J.
JOURNAL OF CONVEX ANALYSIS, 2014, 21 (03) : 681 - 701
[2] TURNPIKE PROPERTIES OF PATHS IN DISCRETE-TIME OPTIMAL-CONTROL PROBLEMS
PANASYUK, VI
AUTOMATION AND REMOTE CONTROL, 1981, 42 (08) : 1091 - 1101
[3] Stability of a turnpike phenomenon for approximate solutions of nonautonomous discrete-time optimal control systems
Zaslavski, Alexander J.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 100 : 1 - 22
[4] PERIODIC TURNPIKE PATHS IN DISCRETE-TIME OPTIMAL-CONTROL PROBLEMS
PANASYUK, VI
AUTOMATION AND REMOTE CONTROL, 1983, 44 (09) : 1149 - 1157
[5] Turnpike Properties in Discrete-Time Mixed-Integer Optimal Control
Faulwasser, Timm
Murray, Alexander
IEEE CONTROL SYSTEMS LETTERS, 2020, 4 (03): : 704 - 709
[6] Minimal solutions for discrete-time control systems in metric spaces
Zaslavski, AJ
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2003, 24 (5-6) : 637 - 651
[7] Turnpike Results for a Class of Discrete-Time Optimal Control Problems Arising in Economic Dynamics
Zaslavski, Alexander J.
SET-VALUED AND VARIATIONAL ANALYSIS, 2009, 17 (03) : 285 - 318
[8] Turnpike Results for a Class of Discrete-Time Optimal Control Problems Arising in Economic Dynamics
Alexander J. Zaslavski
Set-Valued and Variational Analysis, 2009, 17 : 285 - 318
[9] Two turnpike results for a discrete-time optimal control systems
Zaslavski, Alexander J.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : E902 - E909
[10] Stability of a Turnpike Phenomenon for a Discrete-Time Optimal Control System
A. J. Zaslavski
Journal of Optimization Theory and Applications, 2010, 145 : 597 - 612

← 1 2 3 4 5 →