Optimal control of continuous systems with impulse controls

被引：16

作者：

Leander, Rachel ^{[1
]}

Lenhart, Suzanne ^{[2
]}

Protopopescu, Vladimir ^{[3
]}

机构：

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

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

[3] Oak Ridge Natl Lab, Computat Sci & Engn Div, Oak Ridge, TN USA

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2015年 / 36卷 / 04期

基金：

美国国家科学基金会;

关键词：

continuous systems; impulse control; discrete time optimal control; COMPARTMENT MODELS;

D O I：

10.1002/oca.2128

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Impulse control problems, in which a continuously evolving state is modified by discrete control actions, have applications in epidemiology, medicine, and ecology. In this paper, we present a simple method for solving impulse control problems for systems of differential equations. In particular, we show how impulse control problems can be reformulated and solved as discrete optimal control problems. The method is illustrated with two examples. Published 2014. This article has been contributed to by US Government employees and their work is in the public domain in the USA.

引用

页码：535 / 549

页数：15

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