Title :
Averaging for nonlinear systems on Riemannian manifolds
Author :
Taringoo, Farzin ; Nesic, D. ; Ying Tan ; Dower, Peter M.
Author_Institution :
Electr. & Electron. Eng. Dept., Univ. of Melbourne, Melbourne, VIC, Australia
Abstract :
This paper provides a derivation of the averaging methods for nonlinear time-varying dynamical systems defined on Riemannian manifolds. We extend the results on ℝn to Riemannian manifolds by employing the language of differential geometry.
Keywords :
differential geometry; nonlinear dynamical systems; time-varying systems; Riemannian manifolds; averaging method; differential geometry; nonlinear time-varying dynamical systems; Equations; Extraterrestrial measurements; Manifolds; Time-varying systems; Trajectory; Vectors;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6759956