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 language||English (US)|
|Title of host publication||Emergent Problems in Nonlinear Systems and Control|
|Number of pages||13|
|State||Published - 2009|
|Name||Lecture Notes in Control and Information Sciences|
ASJC Scopus subject areas
- Library and Information Sciences