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arXiv · 0712.0295

Liapunov's direct method for Birkhoffian systems: Applications to electrical networks

Delia Ionescu-Kruse
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Abstract

In this paper, the concepts and the direct theorems of stability in the sense of Liapunov, within the framework of Birkhoffian dynamical systems on manifolds, are considered. The Liapunov-type functions are constructed for linear and nonlinear LC and RLC electrical networks, to prove stability under certain conditions.

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BibTeXRIS

Delia Ionescu-Kruse. 2007-12-03. Liapunov's direct method for Birkhoffian systems: Applications to electrical networks. https://doi.org/10.1016/j.geomphys.2007.06.005

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