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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:371

Article

Banhelyi, Balazs¹  Csendes, Tibor¹  Hatvani, Laszlo² 

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

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

关键词: Dynamical systems;    Pendulum;    Chaos;    Stabilization;   

DOI  :  10.1016/j.cam.2019.112702

来源: Elsevier

【 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.

【 授权许可】

Free