Optimal synthesis in an infinite-dimensional space

被引：2
|
作者：
Borisov, V. F.
Zelikin, M. I. [1 ]
Manita, L. A. [2 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia
[2] Tech Univ, Moscow State Inst Elect & Math, Moscow 109028, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2010年 / 271卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
TIMOSHENKO BEAM;
D O I：
10.1134/S008154381004005X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a class of optimal control problems and Hamiltonian systems generated by these problems in the space l (2), we prove the existence of extremals with a countable number of switchings on a finite time interval. The optimal synthesis that we construct in the space l (2) forms a fiber bundle with piecewise smooth two-dimensional fibers consisting of extremals with a countable number of switchings over an infinite-dimensional basis of singular extremals.
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页码：34 / 52
页数：19
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