Optimality conditions for age-structured control systems

被引：84

作者：

Feichtinger, G

Tragler, G

Veliov, VM

机构：

[1] Vienna Univ Technol, Inst Econometr Operat Res & Syst Theory, A-1040 Vienna, Austria

[2] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 288卷 / 01期

关键词：

age-structured systems; population dynamics; McKendrick equation; optimal control of distributed systems; Pontryagin's maximum principle;

D O I：

10.1016/j.jmaa.2003.07.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a fairly general model (extension of the Gurtin-MacCamy model of population dynamics) of an age structured control system with nonlocal dynamics and nonlocal boundary conditions. A necessary optimality condition is obtained in the form of Pontryagin's maximum principle, which is applicable to a number of practically meaningful models where the previously known results fail. We discuss such models (an epidemic control, and a capital accumulation model) as illustrations. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：47 / 68

页数：22

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