Nathalie Bertrand ; Miheer Dewaskar ; Blaise Genest ; Hugo Gimbert ; Adwait Amit Godbole - Controlling a population

lmcs:4662 - Logical Methods in Computer Science, July 29, 2019, Volume 15, Issue 3 -
Controlling a population

Authors: 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 controller may only change the environment common to all cells. We study a synchronisation problem for such populations: no matter how individual agents react to the actions of the controller, the controller aims at driving all agents synchronously to a target state. The agents are naturally represented by a non-deterministic finite state automaton (NFA), the same for every agent, and the whole system is encoded as a 2-player game. The first player (Controller) chooses actions, and the second player (Agents) resolves non-determinism for each agent. The game with m agents is called the m -population game. This gives rise to a parameterized control problem (where control refers to 2 player games), namely the population control problem: can Controller control the m-population game for all m in N whatever Agents does?

Volume: Volume 15, Issue 3
Published on: July 29, 2019
Accepted on: July 29, 2019
Submitted on: July 4, 2018
Keywords: Computer Science - Formal Languages and Automata Theory,Electrical Engineering and Systems Science - Systems and Control


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