Title :
Analysis of periodic orbits based on uncertain data
Author :
Jönsson, Ulf ; Kao, Chung-Yao ; Megretski, Alex
Author_Institution :
Lab. for Inf. & Decision Syst., MIT, MA, USA
Abstract :
A framework for robust stability analysis of periodic orbits of autonomous ordinary differential equations (ODE) is presented. The linearization of the dynamics around a periodic solution to an autonomous ODE has a neutrally stable mode. It is therefore not suitable to directly apply standard techniques for robustness analysis of time-varying systems. It is shown that the system can be transformed in such a way that the neutral mode can be removed from the stability analysis. Any method for robust stability analysis of periodically-varying linear systems can now be applied
Keywords :
asymptotic stability; differential equations; limit cycles; linear systems; matrix algebra; periodic control; robust control; time-varying systems; uncertain systems; autonomous ordinary differential equations; neutral mode; periodic orbits; robust stability analysis; robustness analysis; uncertain data; Asymptotic stability; Harmonic analysis; Information analysis; Laboratories; Limit-cycles; Orbits; Performance analysis; Robust stability; Robustness; Stability analysis;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.762005
