On the time-optimal problem for three- and four-dimensional control systems

被引：0
|
作者：
Nikol'skii, M. S. [1 ]
机构：
[1] Russian Acad Sci, VA Steklov Math Inst, Moscow 119991, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2012年 / 277卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
STEKLOV Institute; Nontrivial Solution; Control Object; Adjoint Equation; Optimal Control Theory;
D O I：
10.1134/S008154381204013X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is devoted to the time-optimal problem for three- and four-dimensional nonlinear control systems with one-dimensional control. We obtain sufficient conditions for a time-optimal control to be equivalent (in the Lebesgue sense) to a piecewise constant control that is also optimal, has a finite number of discontinuity points, and takes only extreme values. Such optimal controls are called bang-bang solutions and are of considerable interest in control theory and its applications.
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页码：184 / 190
页数：7
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