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

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

2007-12-03

arxiv.org/abs/0712.0295v1

Journal of Geometry and Physics, 57(2007), 2213-2228

Mathematics

Dynamical Systems

21 pages, 1 figure

Scientific paper

10.1016/j.geomphys.2007.06.005

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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