DocumentCode
718784
Title
Approximate analytical solution of free motion equations of quadratically-cubic control objects
Author
Shopin, Sergey A. ; Lovchakov, Vladimir I.
Author_Institution
Dept. of electrotechnics & Electr. Equip., Tula State Univ., Tula, Russia
fYear
2015
fDate
21-23 May 2015
Firstpage
1
Lastpage
4
Abstract
It is obtained approximate analytical solution of Cauchy problem for the system of autonomous quadraticallycubic differential equations in the form of first three terms of Volterra series. Estimate of region of convergence is presented.
Keywords
Volterra series; approximation theory; differential equations; Cauchy problem; Volterra series; approximate analytical solution; autonomous quadratically cubic differential equation; free motion equation; quadratically-cubic control object; Convergence; Differential equations; Eigenvalues and eigenfunctions; Integral equations; Lyapunov methods; Mathematical model; Trajectory; Cauchy problem; Kronecker product; Lyapunov function; Volterra series; approximate solution; quadratically-cubic nonlinearities; region of convergence;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Communications (SIBCON), 2015 International Siberian Conference on
Conference_Location
Omsk
Print_ISBN
978-1-4799-7102-2
Type
conf
DOI
10.1109/SIBCON.2015.7147289
Filename
7147289
Link To Document