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Applications of Lie Group on Linearization to Nonlinear Control System

This paper presents the Lie-Backlund symmetry method to give the equivalence between differential equations and describe the equivalent transformation procedure of nonlinear control systems of partial differential equations.
The equivalent linear systems found by solving the infinitesimal generator of one-parameter Lie groups with prolongations and the infinitesimal generator are used to construct the parameters of invertible mapping u. And the equivalence linear form of the nonlinear system is constructed via u.
Some necessary conditions for mapping a nonlinear control system of PDE¡¦s to a linear control system of PDE¡¦s are discussed, and application of Lie-Backlund symmetries and invertible mapping u constructed linear time-invariant control system of partial differential equations.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0723103-101630
Date23 July 2003
CreatorsLiu, Sheng-Yi
ContributorsChien-Hsiang Chao, Chi-Cheng Cheng, Nan-Chyuan Tsai
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageCholon
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0723103-101630
Rightsnot_available, Copyright information available at source archive

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