Asymptotic Behavior of the Solution to a Singularly Perturbed Linear-Quadratic Terminal Control Problem

被引：0

作者：

Kalinin, A. I. ^{[1
]}

机构：

[1] Belarusian State Univ, Minsk 220030, BELARUS

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2010年 / 50卷 / 03期

关键词：

optimal control problem; linear system; quadratic functional; singular perturbations; asymptotic approximations; algorithm for constructing asymptotic approximations;

D O I：

10.1134/S0965542510030036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A quadratic terminal cost functional is minimized on the trajectories of a linear singularly perturbed system. Equality constraints are imposed on the right end of the trajectories, while the multidimensional controls are bounded in the Euclidean norm. An algorithm is proposed for constructing asymptotic approximations to the solution of the problem.

引用

页码：403 / 413

页数：11

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