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Qualitative control of periodic solutions in piecewise affine models of genetic networks
2010
IFAC Proceedings Volumes
Piecewise affine (PWA) systems are often used to model gene regulatory networks. In this paper we elaborate on previous work about control problems for this class of models, using also some recent results guaranteeing the existence and uniqueness of limit cycles, based solely on a discrete abstraction of the system and its interaction structure. Our aim is to control the transition graph of the PWA system to obtain an oscillatory behaviour, which is indeed of primary functional importance in
doi:10.3182/20100901-3-it-2016.00145
fatcat:plrtcmnzzffwth4dfeuvn6yidm