Isoperimetric Problems on Time Scales with Nabla Derivatives

被引：58

作者：

Almeida, Ricardo ^{[1
]}

Torres, Delfim F. M. ^{[1
]}

机构：

[1] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal

来源：

JOURNAL OF VIBRATION AND CONTROL | 2009年 / 15卷 / 06期

关键词：

Control; isoperimetric problems; nabla derivatives; time scales; NONLINEAR CONTROL-SYSTEMS; CALCULUS;

D O I：

10.1177/1077546309103268

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

We prove a necessary optimality condition for isoperimetric problems under nabla-differentiable curves. As a consequence, the recent results of Caputo (2008), that put together seemingly dissimilar optimal control problems in economics and physics, are extended to a generic time scale. We end with an illustrative example of the application of our main result to a dynamic optimization problem from economics.

引用

页码：951 / 958

页数：8

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