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
Pages43-55
Number of pages13
Volume393
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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