Approximation methods in optimal control problems for nonlinear infinite-dimensional systems

被引：1

作者：

Serovaiskii, S. Ya. ^{[1
]}

机构：

[1] Al Farabi Kazakh Natl Univ, Alma Ata, Kazakhstan

来源：

MATHEMATICAL NOTES | 2013年 / 94卷 / 3-4期

关键词：

optimization problem; nonlinear parabolic equation; approximate solution; phase constraint; fixed terminal state; CONSTRAINED CONTROL-PROBLEMS; PONTRYAGINS PRINCIPLE; EQUATIONS;

D O I：

10.1134/S0001434613090277

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some notions related to approximate solutions and to the approximation of extremum problems for nonlinear infinite-dimensional systems are proposed. Optimization problems for nonlinear parabolic equations with a fixed terminal state and on an infinite time interval, as well as for singular stationary systems with phase constraints, are illustrated by several examples.

引用

页码：567 / 582

页数：16

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