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Controlling a population

Nathalie Bertrand ; Miheer Dewaskar ; Blaise Genest ; Hugo Gimbert ; Adwait Amit Godbole.

We introduce a new setting where a population of agents, each modelled by a finite-state system, are controlled uniformly: the controller applies the same action to every agent. The framework is largely inspired by the control of a biological system, namely a population of yeasts, where the&nbsp;[&hellip;]

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On Robustness for the Skolem, Positivity and Ultimate Positivity Problems

S. Akshay ; Hugo Bazille ; Blaise Genest ; Mihir Vahanwala.

The Skolem problem is a long-standing open problem in linear dynamical systems: can a linear recurrence sequence (LRS) ever reach 0 from a given initial configuration? Similarly, the positivity problem asks whether the LRS stays positive from an initial configuration. Deciding Skolem (or positivity)&nbsp;[&hellip;]

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