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arXiv · 1010.0295

Energy methods in the stability problem for the $\mathfrak{so}(4)$ free rigid body

Petre Birtea·Ioan Casu
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Abstract

For the $\mathfrak{so}(4)$ free rigid body the stability problem for the isolated equilibria has been completely solved using Lie-theoretical and topological arguments. For each case of nonlinear stability previously found we construct a Lyapunov function. These Lyapunov functions are linear combinations of Mishchenko's constants of motion.

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Petre Birtea, Ioan Casu. 2013-01-23. Energy methods in the stability problem for the $\mathfrak{so}(4)$ free rigid body. https://doi.org/10.1142/s0218127413500326

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