On the existence of periodic motion and the maximum sector bounds for absolute stability of nonlinear nonstationary systems

Authors:
K. Wulff;R. Shorten
Affiliations:
Fachgebiet Regelungstechnik, TU Berlin, Germany;Hamilton Institute, NUI Maynooth, Ireland
Venue:
Automation and Remote Control
Year:
2007

Citing 1
Cited 1

Linear system theory (2nd ed.)

Linear system theory (2nd ed.)

Absolute stability and harmonic balance

Automation and Remote Control

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Abstract

In this contribution we consider the absolute stability problem. We derive necessary and sufficient conditions for the existence of periodic motion using an operator approach. The results yield an efficient algorithm to approximate the maximum sector bounds for absolute stability numerically.