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math.DS2009★ 1 cited
Qualitative control of periodic solutions in piecewise affine systems; application to genetic networks
Etienne Farcot, Jean-Luc Gouzé
Hybrid systems, and especially piecewise affine (PWA) systems, are often used to model gene regulatory networks. In this paper we elaborate on previous work about control problems…
math.DS2009
Limit cycles in piecewise-affine gene network models with multiple interaction loops
Etienne Farcot, Jean-Luc Gouzé
In this paper we consider piecewise affine differential equations modeling gene networks. We work with arbitrary decay rates, and under a local hypothesis expressed as an alignment…