4 papers
On the gain of entrainment in stable linear control systems with a nonlinear output
Ram Massas, Michael Margaliot
A control system admits a positive gain of entrainment (GOE) if entrainment to a periodic input yields a larger output, on average, than the output generated by the corresponding c…
Negative feedback and oscillations in a model for mRNA translation
Aliza Ehrman, Thomas Kriecherbauer, Lars Gruene +1
The ribosome flow model (RFM) is a phenomenological model for the unidirectional flow of particles along a 1D chain of sites. The RFM has been extensively used to study the dyn…
Random attraction in TASEP with time-varying hopping rates
Lars Grüne, Kilian Pioch, Thomas Kriecherbauer +1
The totally asymmetric simple exclusion principle (TASEP) is a fundamental model in nonequilibrium statistical mechanics. It describes the stochastic unidirectional movement of par…
-Contraction in a Generalized Lurie System
Ron Ofir, Jean-Jacques Slotine, Michael Margaliot
We derive a sufficient condition for -contraction in a generalized Lurie system~(GLS), that is, the feedback connection of a nonlinear dynamical system and a memoryless nonlinea…