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Control of collective dynamics with time-varying weights

Abstract : This paper focuses on a model for opinion dynamics, where the influence weights of agents evolve in time. We formulate a control problem of consensus type, in which the objective is to drive all agents to a final target point under suitable control constraints. Controllability is discussed for the corresponding problem with and without constraints on the total mass of the system, and control strategies are designed with the steepest descent approach. The mean-field limit is described both for the opinion dynamics and the control problem. Numerical simulations illustrate the control strategies for the finite-dimensional system.
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https://hal.archives-ouvertes.fr/hal-02995844
Contributor : Nastassia Pouradier Duteil <>
Submitted on : Monday, November 9, 2020 - 1:11:40 PM
Last modification on : Tuesday, December 8, 2020 - 3:34:45 AM

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  • HAL Id : hal-02995844, version 1
  • ARXIV : 2011.04387

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Nastassia Duteil, Benedetto Piccoli. Control of collective dynamics with time-varying weights. 2020. ⟨hal-02995844⟩

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