Title :
Orbital stability analysis of coupled harmonic oscillators
Author :
Xinmin Liu ; Iwasaki, Takuya
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Univ. of California, Los Angeles, Los Angeles, CA, USA
Abstract :
A fundamental problem in understanding complex dynamical systems is how synchronization and coordination emerge through interactions of oscillators. This paper presents an orbital stability analysis for a class of coupled harmonic oscillators. Based on the Floquet theory and averaging principle, conditions on the coupling and damping parameters are obtained for local convergence to an orbit with prescribed pattern of oscillations. Insights into the stabilization mechanisms are gained through digraph theory.
Keywords :
convergence; directed graphs; harmonic oscillators; nonlinear control systems; stability; synchronisation; Floquet theory; complex dynamical systems; coupled harmonic oscillators; digraph theory; local convergence; orbital stability analysis; stabilization mechanisms; synchronization; Couplings; Damping; Eigenvalues and eigenfunctions; Orbits; Oscillators; Stability analysis; Zinc;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426970
