Pontryagin Maximum Principle for Control Systems on Infinite Dimensional Manifolds

被引：4

作者：

Kipka, Robert J. ^{[1
]}

Ledyaev, Yuri S. ^{[1
]}

机构：

[1] Western Michigan Univ, Dept Math, Kalamazoo, MI 49008 USA

来源：

SET-VALUED AND VARIATIONAL ANALYSIS | 2015年 / 23卷 / 01期

关键词：

Optimal control on manifolds; Infinite-dimensional manifolds; Maximum principle; MEAN-VALUE INEQUALITIES;

D O I：

10.1007/s11228-014-0301-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss a mathematical framework for analysis of optimal control problems on infinite-dimensional manifolds. Such problems arise in study of dynamic optimization for partial differential equations with some symmetry. We develop nonsmooth analysis methods and Lagrangian charts techniques which can be used for study of global variations of optimal trajectories of such control systems and derivation of a maximum principle for them.

引用

页码：133 / 147

页数：15

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