Another proof of the Krishnaprasad-Berenstein's theorem
type: Item
instance of: scholarly article
zbMATH Open document ID: 0978.70501
author: Mihai Dupac
publication date: 2002-01-13T00:00:00Z
full work available at URL: https://eudml.org/doc/225197
Mathematics Subject Classification ID: 70E50
zbMATH DE Number: 1689531
zbMATH Keywords: nonlinear stability
zbMATH Keywords: equilibrium state
zbMATH Keywords: rigid body dynamics
MaRDI profile type: Publication
title: Another proof of the Krishnaprasad-Berenstein's theorem
published in: General Mathematics
review text: There is obtained a new proof of the \textit{P.S.~Krishnaprasad} and \textit{C.S.~Berenstein} [Syst. Control Lett. 4, 157-163 (1984; Zbl 0537.93043)], (see also \textit{P.S.~Krishnaprasad} [Nonlinear Anal., Theory Methods Appl. 9, 1011-1035 (1985; Zbl 0626.70028)]) stating that the equilibrium state \((0,0,0,0)\) of the rigid body dynamics with a single rotor is nonlinearly stable.
reviewed by: Dumitru Acu
description: scientific article; zbMATH DE number 1689531