Title :
The pseudo-linearization and any order approximate analytical solutions for nonlinear dynamical equation
Author :
Cao, Shaozhong ; Li, Yang
Author_Institution :
Sch. of Inf. & Mech. Eng., Beijing Inst. of Graphic Commun., Beijing, China
Abstract :
The integrand is expanded as the Taylor series, at the initial state of time-state space, by introducing the concept of time-state space and the method of pseudo-linearization. The any order approximate general analytical solutions are obtained by directed integrating, and proven to be convergent. Compared with the general method of linear or nonlinear removal, this method can simplify the calculation for non-commutative system and commutative time-varying system. The method is also proven to be universal.
Keywords :
approximation theory; nonlinear equations; series (mathematics); time-varying systems; Taylor series; approximate general analytical solution; commutative time-varying system; integrand; linear removal; noncommutative calculation system; nonlinear dynamical equation; nonlinear removal; pseudolinearization method; time-state space; Approximation methods; Differential equations; Equations; Mathematical model; Nonlinear dynamical systems; Taylor series; Vectors; analytical solution; nonlinear dynamical equation; pseudo-linearization;
Conference_Titel :
Intelligent Control, Automatic Detection and High-End Equipment (ICADE), 2012 IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4673-1331-5
DOI :
10.1109/ICADE.2012.6330098
