On stability of limit cycles of a prototype problem of piecewise linear systems

O. Eriksson*, J. Tègner, Y. Zhou

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The purpose of this paper is to develop a machinery to analyze existence and stability of limit cycle of a prototype of piecewise linear systems, possibly with delays in switching rules. The study of this type of problems is motivated by modelling cell cycle regulation. The results are applied to a cell cycle model of fission yeast. It is shown that the cell cycle model has a limit cycle and it is stable and criterion of the stability regions are also given.

Original languageEnglish (US)
Title of host publicationEmergent Problems in Nonlinear Systems and Control
EditorsM. Thoma, F. Allgower, M. Morari
Pages43-55
Number of pages13
DOIs
StatePublished - 2009
Externally publishedYes

Publication series

NameLecture Notes in Control and Information Sciences
Volume393
ISSN (Print)0170-8643

ASJC Scopus subject areas

  • Library and Information Sciences

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