List of publications and scientific works of Fabio
Bagagiolo
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Flows of vector fields and the Kalman theorem,
ArXiv.
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A zero-sum differential game for two opponent masses,
ArXiv.
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Wave-front tracking for a quasi-linear scalar conservation law with hysteresis,
Journal of Mathematical Analysis and Applications, 543 (2025), 128900.
Open access.
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A single player and a mass of agents: a pursuit evasion-like game,
Open access.
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A time-dependent switching mean-field game on networks motivated by optimal visiting problems,
Journal of Dynamics and Games, 10 (2023), 151--180.
arXiv.
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Hybrid control for optimal visiting problems for a single player and for a crowd,
arXiv.
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Optimal control of the mean field game equilibrium for a pedestrian tourists' flow model,
arXiv (early version).
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The orienteering problem: a hybrid control formulation,
arXiv.
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A hybrid control framework for an optimal visiting problem,
arXiv.
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Origin-to-destination network flow with path preferences and velocity controls: a mean field game-like approach,
arXiv.
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Hysteresis and controllability of affine driftless systems: some case studies,
Mathematical Modelling of Natural Phenomena, 15 (2020), 55.
online version.
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A mean field
approach to model flows of agents with path preferences over a network,
arXiv (early version).
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Hybrid thermostatic approximations of junctions for some optimal control problems on networks,
SIAM Journal on Control and Optimization, 57 (2019), 2415-2442.
arXiv (early version).
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Hybrid deterministic/stochastic simulation of complex biochemical systems,
.pdf version.
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Non-memoryless pedestrian flow in a crowded environment with target sets,
Advances in Dynamic and Mean Field Games. Annals of the International Society of Dynamic Games, vol 15 (2017). 3 - 25
Birkhauser, Cham
.pdf version.
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Game theoretic decentralized feedback controls in Markov jump processes,
.pdf version.
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Swimming by switching,
arXiv.
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Necessary and sufficient stability conditions for equilibria of linear SISO feedbacks with a play operator,
.pdf version.
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Mean-field game modeling the bandwagon effect
with activation costs,
.pdf version.
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On the value function of one-dimensional optimal control problems with junctions,
in NETwork Games, COntrol and OPtimization (NetGCoop), 2014 7th International Conference on, United States of America: IEEE, 2014, p. 188-194. -
ISBN: 9788884435743. Atti di: NETGCOOP 2014, Trento, 29-31 Ottobre 2014.
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Mean-field games and dynamic demand management in power grids,
Dynamic Games and Applications, 4 (2014), 155 - 176.
.pdf version.
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Opinion dynamics and stubbornness through mean-field games,
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Bandwagon effect in mean field games,
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On the controllability of the semilinear heat equation with hysteresis,
Physica B, 407 (2012), 1401-1403.
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About an optimal visiting problem,
Applied Mathematics and Optimization, 65 (2012), 31-51.
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Infinite horizon optimal control
problems with multiple thermostatic hybrid dynamics,
Nonlinear Analysis: Hybrid Systems, 6 (2012), 824-838.
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Objective function design for
robust optimality of linear control under
state-constraints and uncertainty,
ESAIM: Control, Optimisation and Calculus of Variations, 17 (2011),
155-177.
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Robust optimality of linear saturated control in
uncertain linear network flows,
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on Decision and Control
2008 Page(s):3676 - 3681 .
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Minimum time for a hybrid system
with thermostatic switchings,
in "Hybrid Systems: Computation and Control",
A. Bemporad, A. Bicchi, and G. Buttazzo (Eds.),
pp. 32-45, Lecture Notes in Computer Sciences 4416,
Springer-Verlag, Berlin 2007.
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Automatic control via Preisach hysteresis of a filtration model with
capillarity,
Adv. Math. Sci. Appl., Vol. 17 no. 1 (2007), 1-22
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Optimal control of finite horizon type for a multidimensional
delayed switching system,
Discrete Contin. Dyn. Syst. Ser. B, 5, no. 2, (2005), 239-264.
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Porous media filtration with hysteresis,
Adv. Math. Sci. Appl., 14 (2004), 379-403.
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Viscosity solutions for an optimal control problem
with Preisach hysteresis nonlinearities,
ESAIM: Control,
Optimisation, and Calculus of Variations, vol. 10, (2004), 271-294.
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Dynamic programming for some optimal control problems
with hysteresis,
NoDEA Nonlinear Differ. Equ. Appl., 9 (2002), 149-174.
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An infinite horizon optimal control problem for
some switching systems,
Discrete Contin. Dyn. Syst. Ser. B, 1, no. 4
(2001), 443-462.
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Hysteresis in filtration through porous media,
Z. Anal. Anwendungen, Vol. 19 (4) (2000), 977-998..ps
version
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Un problema di controllo con isteresi per la filtrazione
nei mezzi porosi,
Bollettino U.M.I. "La matematica nella Societa`
e nella Cultura" (8) 2-A Suppl. (1999), pag. 71-74.
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River profile evolution with graded sediments:
a linear analysis,
proceedings of the meeting IAHR (International
Association Hydrological Research), Graz (Austria) 1999.
(with Giampaolo Di Silvio and Andrea Marion)
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Feedback control of a filtration problem with
hysteresis,
Adv. Math. Sci. Appl., 9, no. 2, (1999), 787-804.
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Un problema di controllo con isteresi per la filtrazione
nei mezzi porosi,
Ph. D. Thesis Series n.15, Dipartimento di Matematica,
Universita` di Trento, 1998.
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Singular perturbation of a finite horizon problem
with state-space constraints,
SIAM Journal Control Optim., 36, no. 6, (1998),
2040-2060.
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A viscosity solutions approach to some asymptotic
problems in optimal control,
in "Partial differential equations methods in
control and shape analysis", G. Da Prato and J.P. Zolesio eds., 27-37,
Marcel Dekker, new York 1997.
(with Martino Bardi and Italo Capuzzo Dolcetta)