Asymptotic Stability of Dissipated Hamilton-Poisson Systems

Details Asymptotic Stability of Dissipated Hamilton-Poisson Systems Asymptotic Stability of Dissipated Hamilton-Poisson Systems

2011-07-21

arxiv.org/abs/1107.4231v1

Mathematics

Dynamical Systems

Scientific paper

We will further develop the study of the dissipation for a Hamilton-Poisson system introduced in \cite{2}. We will give a tensorial form of this dissipation and show that it preserves the Hamiltonian function but not the Poisson geometry of the initial Hamilton-Poisson system. We will give precise results about asymptotic stabilizability of the stable equilibria of the initial Hamilton-Poisson system.

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