This article is cited in 1 paper

Mathematics

Decomposition of multirate dynamic systems with small dissipation

N. V. Voropaeva

The Dept. of Differential Equations and Management Theory, Samara State University, Samara, 443011, Russian Federation

Abstract: We consider singularly perturbed differential systems which describe the dynamics of manipulator with flexible joints in conditions of small dissipation. The existence of decoupling transformation which converts original multirate system to “block triangular” form with independent slow subsystem. Decoupling transformation is constructed as asymptotic series.

Keywords: singularly perturbed systems, decomposition, asymptotic methods.

UDC: 517.928

Received: 25.04.2013
Revised: 25.04.2013