DocumentCode
512787
Title
Any order approximate solution of the differential state equation for affine nonlinear systems
Author
Cao, Shaozhong
Author_Institution
Sch. of Inf. & Mech. Eng., Beijing Inst. of Graphic Commun., Beijing, China
Volume
1
fYear
2009
fDate
5-6 Dec. 2009
Firstpage
361
Lastpage
365
Abstract
Based on the Taylor expansion, the differential state equation of affine nonlinear systems is converted to a set of equations for state variation with infinite series expression. Utilizing the theory of differential equation, any order approximate solution with series expression for the differential state equation of affine nonlinear systems is obtained.
Keywords
affine transforms; approximation theory; differential equations; nonlinear control systems; series (mathematics); Taylor expansion; affine nonlinear systems; any order approximate solution; differential state equation; infinite series expression; state variation equation; Differential equations; Educational technology; Graphics; Mechanical engineering; Mechanical variables measurement; Nonlinear control systems; Nonlinear equations; Nonlinear systems; System testing; Taylor series; Taylor expansion; affine nonlinear systems; any order approximate solution; differential state equation;
fLanguage
English
Publisher
ieee
Conference_Titel
Test and Measurement, 2009. ICTM '09. International Conference on
Conference_Location
Hong Kong
Print_ISBN
978-1-4244-4699-5
Type
conf
DOI
10.1109/ICTM.2009.5412917
Filename
5412917
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