Presentation 2002/7/15
On Poincare's Theorem Extended to Include the Input
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 three remarks on this theorem. Then, we propose two interesting problems on Poincare's Theorem extended to include the control input in a straightforward way.
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Keyword(in English) state feedback / linearization / resonance / control input / variable transformation / input transformation
Paper # SST2002-17
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Conference Date 2002/7/15(1days)
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Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On Poincare's Theorem Extended to Include the Input
Sub Title (in English)
Keyword(1) state feedback
Keyword(2) linearization
Keyword(3) resonance
Keyword(4) control input
Keyword(5) variable transformation
Keyword(6) input transformation
1st Author's Name Atsushi Kawakami
1st Author's Affiliation Mathematics and Sciences Core, Kanazawa Institute of Technology()
Date 2002/7/15
Paper # SST2002-17
Volume (vol) vol.102
Number (no) 227
Page pp.pp.-
#Pages 4
Date of Issue