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- Mattia Bongini, Massimo Fornasier, Francesco Rossi, Francesco Solombrino
- J. Optimization Theory and Applications
- 2017

We derive a Maximum Principle for optimal control problems with constraints given by the coupling of a system of ODEs and a PDE of Vlasov-type. Such problems arise naturally as Γ-limits of optimal control problems subject to ODE constraints, modeling, for instance, external interventions on crowd dynamics. We obtain these first-order optimality conditions… (More)

- Mattia Bongini, M. Fornasie†r, Markus Hansen, Mauro Maggioni
- 2016

In this paper we are concerned with the learnability of nonlocal interaction kernels for first order systems modeling certain social interactions, from observations of realizations of their dynamics. This paper is the first of a series on learnability of nonlocal interaction kernels and presents a variational approach to the problem. In particular, we… (More)

- Mattia Bongini, Massimo Fornasier
- NHM
- 2014

Conditional self-organization and pattern-formation are relevant phenomena arising in biological, social, and economical contexts, and received a growing attention in recent years in mathematical modeling. An important issue related to optimal government strategies is how to design external parsimonious interventions, aiming at enforcing systems to converge… (More)

We study the problem of consensus emergence in multi-agent systems via external feedback controllers. We consider a set of agents interacting with dynamics given by a Cucker-Smale type of model, and study its consensus stabilization by means of centralized and decentralized control configurations. We present a characterization of consensus emergence for… (More)

For high dimensional particle systems, governed by smooth nonlinearities depending on mutual distances between particles, one can construct low-dimensional representations of the dynamical system, which allow the learning of nearly optimal control strategies in high dimension with overwhelming confidence. In this paper we present an instance of this general… (More)

- Giacomo Albi, Mattia Bongini, Emiliano Cristiani, Dante Kalise
- SIAM Journal of Applied Mathematics
- 2016

Optimization and Numerical Analysis for Partial Differential Equations with Nonsmooth Structures Invisible Control of Self-Organizing Agents Leaving Unknown Environments Mattia Bongini (TUM), Massimo Fornasier (TUM) Problem and Goals • We are concerned with the multiscale modeling, control and simulation of self-organizing agents leaving an unknown area. •… (More)

- Mattia Bongini, Massimo Fornasier, Fabian Frcohlich, Laleh Haghverdi
- 2014 7th International Conference on NETwork…
- 2014

We address dynamical systems of agents driven by attraction and repulsion forces modelling cohesion and collision avoidance. When the total energy, which is composed of a kinetic part and a geometrical part describing the balance between attraction and repulsion forces, is below a certain threshold, then it is known that the agents will converge to a… (More)

In the present paper we deal with an optimal control problem related to a model in population dynamics; more precisely, the goal is to modify the behavior of a given density of individuals via another population of agents interacting with the first. The cost functional to be minimized to determine the dynamics of the second population takes into account the… (More)

- Mattia Bongini, Agata Ciabattoni, Franco Montagna
- Fuzzy Sets and Systems
- 2016

We provide a methodology to introduce proof search oriented calculi for a large class of many-valued logics, and a sufficient condition for their Co-NP completeness. Our results apply to many well known logics including Gödel, Lukasiewicz and Product Logic, as well as Hájek’s Basic Fuzzy Logic.

In recent years, numerous studies have focused on the mathematical modeling of social dynamics, with self-organization, i.e., the autonomous pattern formation, as the main driving concept. Usually, first or second order models are employed to reproduce, at least qualitatively, certain global patterns (such as bird flocking, milling schools of fish or queue… (More)