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Abstract: Previously, the stability regions of satellites with elastically deformable structural elements were investigated by the methods of the theory of hybrid dynamical systems (HDS), and parametric synthesis was realized by the linearized model taking into account the time lag in the stabilization system. In this paper, based on the results of numerical modeling of satellites with elasticdeformable structural elements, it is shown that the nonlinear HDS with a delay in the control system can be stabilized as a result of parametric synthesis by a linearized model.
Index terms: hybrid dynamic systems, satellites with elastic-deformable structural elements, stabilization systems.

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