Another Proof of the Krishnaprasad-Berenstein's Theorem

This source preferred by Mihai Dupac

Authors: Dupac, M.

http://www.emis.de/journals/GM/vol5/dupa.html

Journal: General Mathematics

Volume: 5

Pages: 157-160

ISSN: 1221-5023

In a very nice paper Krishnaprasad and Berenstein[1] have proved using a geometric argument namely Lasalle's theorem that the equilibrium state $(0,0,0,0)$ of the rigid body dynamics with a single rotor is nonlinear stable. The goal of my paper is to give another proof of this result via the energy-Casimir method.

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