Introduction to Optimal Control for Discrete Time Models with an Application to Disease Modeling

被引：0

作者：

Ding, Wandi ^{[1
]}

Lenhart, Suzanne ^{[2
]}

机构：

[1] Middle Tennessee State Univ, Dept Math Sci, Murfreesboro, TN 37132 USA

[2] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA

来源：

MODELING PARADIGMS AND ANALYSIS OF DISEASE TRANSMISSION MODELS | 2010年 / 75卷

基金：

美国国家科学基金会;

关键词：

D O I：

暂无

中图分类号：

R1 [预防医学、卫生学];

学科分类号：

1004 ; 120402 ;

摘要：

This paper serves as an introduction to the theory of optimal control applied to systems of discrete time models with an emphasis on disease models. We outline the steps in solving such optimal control problems and discuss the necessary conditions. A simple disease example provides detailed methodology in charactering the optimal control through the use of Pontryagin's Maximum Principle. Numerical results are given to illustrate several cases.

引用

页码：109 / +

页数：3

共 50 条

[41] OPTIMAL CONTROL OF DISCRETE-TIME STOCHASTIC SYSTEMS
SWORDER, DD
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1966, 15 (02) : 253 - &
[42] ON THE DISCRETE TIME-OPTIMAL REGULAR CONTROL PROBLEM
FAHMY, MM
HANAFY, AAR
SAKR, MF
INFORMATION AND CONTROL, 1980, 44 (03): : 223 - 235
[43] Quantized optimal control of discrete-time systems
Corona, Daniele
Giua, Alessandro
Seatzu, Carla
ETFA 2005: 10TH IEEE INTERNATIONAL CONFERENCE ON EMERGING TECHNOLOGIES AND FACTORY AUTOMATION, VOL 1, PTS 1 AND 2, PROCEEDINGS, 2005, : 273 - 276
[44] Discrete Time Optimal Control Problems with Infinite Horizon
Prazak, Pavel
Fronckova, Katerina
39TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS (MME 2021), 2021, : 405 - 410
[45] OPTIMAL-CONTROL DISCRETE-TIME-SYSTEMS
DOLEZAL, J
LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1988, 113 : 22 - 28
[46] DISCRETE APPROXIMATION OF A TIME-OPTIMAL CONTROL PROBLEM
KOHLER, M
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1974, 54 (04): : T246 - T247
[47] DISCRETE TIME MATRIX RICCATI EQUATION OF OPTIMAL CONTROL
CAINES, PE
MAYNE, DQ
INTERNATIONAL JOURNAL OF CONTROL, 1970, 12 (05) : 785 - &
[48] Agreeable solutions of discrete time optimal control problems
Alexander J. Zaslavski
Optimization Letters, 2014, 8 : 2173 - 2184
[49] Unified Discrete Time Optimal Control for MEMS Gyroscopes
Zheng, Qing
Li, Bo
Xu, Weifeng
2016 AMERICAN CONTROL CONFERENCE (ACC), 2016, : 1548 - 1553
[50] Optimal discrete time control of antiangiogenic tumor therapy
Drexler, Daniel Andras
Sapi, Johanna
Kovacs, Levente
IFAC PAPERSONLINE, 2017, 50 (01): : 13504 - 13509

← 1 2 3 4 5 →