Asymptotic Method for Solving the Time-Optimal Control Problem for a Nonlinear Singularly Perturbed System

被引：1

作者：

Grudo, Ya. O. ^{[1
]}

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

机构：

[1] Belarusian State Univ, Minsk 220050, BELARUS

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2008年 / 48卷 / 11期

关键词：

time-optimal control; nonlinear system; singular perturbations; asymptotic approximations;

D O I：

10.1134/S0965542508110043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The time-optimal control problem for a nonlinear singularly perturbed system with multidimensional controls bounded in the Euclidean norm is considered. An algorithm for constructing asymptotic approximations to its solution is proposed. The main advantage of the algorithm is that the original optimal control problem decomposes into two unperturbed problems of lower dimensions.

引用

页码：1945 / 1954

页数：10

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