Title :
Any order approximate solution of the differential state equation for affine nonlinear systems
Author_Institution :
Sch. of Inf. & Mech. Eng., Beijing Inst. of Graphic Commun., Beijing, China
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;
Conference_Titel :
Test and Measurement, 2009. ICTM '09. International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-4699-5
DOI :
10.1109/ICTM.2009.5412917
