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A study on the convergence of the solution of the normalizing transformation

机译:A study on the convergence of the solution of the normalizing transformation

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摘要

Linearization of a nonlinear system has been a subject of much research. There have been different approaches proposed. Nonlinear terms of a certain degree could not be removed from the nonlinear system. It was showed, how such a situation can be avoided by a proper choice of state feedback thus leading to the linearization condition. In this paper, to begin with, we explain about the state feedback. And, we define resonance. Moreover, we explain Poincare's Theorem and mention two remarks on this theorem. Then, we propose two interesting problems on the convergence of the solution of the normalizing transformation of the nonlinear systems.
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