Stabilization of an overturned pendulum with delayed feedback
type: Item
instance of: scholarly article
title: Stabilization of an overturned pendulum with delayed feedback
zbMATH Open document ID: 1037.34074
author: A. V. Vlakhova
published in: Moscow University Mechanics Bulletin
publication date: 2003-09-04T00:00:00Z
review text: The goal of the paper is to construct a domain of asymptotic stability of the zero solution to the differential equation \[ \ddot\varphi(t) + \dot\varphi(t-\tau) cos\varphi(t) + a\varphi(t-\tau)\cos\varphi(t) - b\sin\varphi(t)=0 \] in the plane of combined parameters \(a>b\) and \(b>0\) for fixed \(\tau\). The construction is made by the method of \(D\)-partitionings.
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 1974908
zbMATH Keywords: turned over pendulum
zbMATH Keywords: stabilization
zbMATH Keywords: feedback with delay
reviewed by: A. A. Martynyuk
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1974908