A Solution to Fuller’s Problem Using Constructions of Pontryagin’s Maximum Principle

被引：0
|
作者：
Yu. N. Kiselev
M. V. Orlov
S. M. Orlov
机构：
[1] Moscow State University,Department of Computational Mathematics and Cybernetics
来源：
Moscow University Computational Mathematics and Cybernetics | 2018年 / 42卷 / 4期
关键词：
Fuller problem; Pontryagin maximum principle; chattering regime;
D O I：
10.3103/S0278641918040039
中图分类号：
学科分类号：
摘要：
The classical two-dimensional Fuller problem is considered. The boundary value problem of Pontryagin’s maximum principle is considered. Based on the central symmetry of solutions to the boundary value problem, the Pontryagin maximum principle as a necessary condition of optimality, and the hypothesis of the form of the switching line, a solution to the boundary value problem is constructed and its optimality is substantiated. Invariant group analysis is in this case not used. The results are of considerable methodological interest.
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页码：152 / 162
页数：10
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