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
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;
Conference_Titel :
Control and Communications (SIBCON), 2015 International Siberian Conference on
Conference_Location :
Omsk
Print_ISBN :
978-1-4799-7102-2
DOI :
10.1109/SIBCON.2015.7147289
