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

Volume

4

fYear

1998

fDate

16-18 Dec 1998

Firstpage

4400

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.762005

Filename

762005