General Mathematics, Vol. 5, No. 1 - 4, pp. 157-160, 1995

Mihai Dupac -- Another Proof of the Krishnaprasad-Berenstein's Theorem

Abstract: 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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