On the existence and stabilization of an upper unstable limit cycle of the damped forced pendulum

被引：2

作者：

Banhelyi, Balazs ^{[1
]}

Csendes, Tibor ^{[1
]}

Hatvani, Laszlo ^{[2
]}

机构：

[1] Univ Szeged, Inst Informat, Arpad Ter 2, H-6720 Szeged, Hungary

[2] Univ Szeged, Bolyai Inst, Arpad Ter 2, H-6720 Szeged, Hungary

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2020年 / 371卷

基金：

匈牙利科学研究基金会;

关键词：

Dynamical systems; Pendulum; Chaos; Stabilization; COMPUTER-ASSISTED PROOF; INVERTED PENDULUM; STABILITY; CHAOS;

D O I：

10.1016/j.cam.2019.112702

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By the use of interval methods it is proven that there exists an unstable periodic solution to the damped and periodically forced pendulum around the upper equilibrium. It is also proved that this solution can be stabilized by a control which does not need the knowledge of values of the state variables but of the unstable periodic solution. (C) 2019 Elsevier B.Y. All rights reserved.

引用

页数：9

共 21 条

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