# 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.