Hamilton-Jacobi Theory for Periodic Control Problems

被引：30

作者：

Maffezzoni, C.

机构：

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1974年 / 14卷 / 01期

关键词：

Calculus of variations; control theory; Hamilton-Jacobi equation; periodic processes;

D O I：

10.1007/BF00933172

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：

The general problem of periodic optimization is considered in this paper. The contribution consists in stating sufficient conditions for the optimality of a control satisfying the periodicity constraint. The result has been achieved by means of the classical Hamilton-Jacobi equation, suitably modified in order to consider the peculiar constraint of the problem. Finally, an interesting application of the theory to the case of linear, time-invariant systems is given.

引用

页码：21 / 29

页数：9