Presentation 2002/6/20
A Study on the Convergence of the Solution of the Normalizing Transformation
Atsushi Kawakami,
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Abstract(in English) 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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Keyword(in English) differential equations / state feedback / linearization / resonance / normalizing transformation / convergence
Paper # DSP2002-54
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Committee DSP
Conference Date 2002/6/20(1days)
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Registration To Digital Signal Processing (DSP)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Study on the Convergence of the Solution of the Normalizing Transformation
Sub Title (in English)
Keyword(1) differential equations
Keyword(2) state feedback
Keyword(3) linearization
Keyword(4) resonance
Keyword(5) normalizing transformation
Keyword(6) convergence
1st Author's Name Atsushi Kawakami
1st Author's Affiliation Mathematics and Sciences Core, Kanazawa Institute of Technology()
Date 2002/6/20
Paper # DSP2002-54
Volume (vol) vol.102
Number (no) 167
Page pp.pp.-
#Pages 4
Date of Issue