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Research Output 1994 2020

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Article
2020

Generalized dynamic programming principle and sparse mean-field control problems

Cavagnari, G., Marigonda, A. & Piccoli, B., Jan 1 2020, In : Journal of Mathematical Analysis and Applications. 481, 1, 123437.

Rutgers, The State University

Research output: Contribution to journalArticle

Dynamic Programming Principle
Dynamic programming
Mean Field
Control Problem
Optimal Trajectory
2019
1 Citation (Scopus)
Differential equation
Vector Field
Tangent Bundle
Euclidean space
Existence and Uniqueness

Measure dynamics with probability vector fields and sources

Piccoli, B. & Rossi, F., Jan 1 2019, In : Discrete and Continuous Dynamical Systems- Series A. 39, 11, p. 6207-6230 24 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Open Access
Vector Field
Differential equations
Differential equation
Probability distributions
Formulation
6 Citations (Scopus)

Quantifying air quality benefits resulting from few autonomous vehicles stabilizing traffic

Stern, R. E., Chen, Y., Churchill, M., Wu, F., Delle Monache, M. L., Piccoli, B., Seibold, B., Sprinkle, J. & Work, D. B., Feb 2019, In : Transportation Research Part D: Transport and Environment. 67, p. 351-365 15 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Air quality
air quality
air
traffic
traffic emission
1 Citation (Scopus)

Social dynamics models with time-varying influence

McQuade, S., Piccoli, B. & Pouradier Duteil, N., Apr 1 2019, In : Mathematical Models and Methods in Applied Sciences. 29, 4, p. 681-716 36 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Social Dynamics
Dynamic models
Dynamic Model
Time-varying
Opinion Dynamics

Sparse control of Hegselmann–Krause models: Black hole and declustering

Piccoli, B., Duteil, N. P. & Trélat, E., Jan 1 2019, In : SIAM Journal on Control and Optimization. 57, 4, p. 2628-2659 32 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Black Holes
Clustering
Opinion Formation
Model
Basin of Attraction

Special issue on mathematical methods in systems biology

Chyba, M. & Piccoli, B., Jan 1 2019, In : Networks and Heterogeneous Media. 14, 1, p. i-ii

Rutgers, The State University

Research output: Contribution to journalArticle

Open Access

Stability of metabolic networks via Linear-in-Flux-Expressions

Merrill, N. J., An, Z., McQuade, S. T., Garin, F., Azer, K., Piccoli, B. & Abrams, R. E., Jan 1 2019, In : Networks and Heterogeneous Media. 14, 1, p. 101-130 30 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Open Access
Metabolic Network
Fluxes
Metabolites
Graph in graph theory
Control theory
1 Citation (Scopus)

Tracking vehicle trajectories and fuel rates in phantom traffic jams: Methodology and data

Wu, F., Stern, R. E., Cui, S., Delle Monache, M. L., Bhadani, R., Bunting, M., Churchill, M., Hamilton, N., Haulcy, R., Piccoli, B., Seibold, B., Sprinkle, J. & Work, D. B., Feb 2019, In : Transportation Research Part C: Emerging Technologies. 99, p. 82-109 28 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Telecommunication traffic
Trajectories
traffic
methodology
Cameras

Traffic reconstruction using autonomous vehicles

Monache, M. L. D., Liard, T., Piccoli, B., Stern, R. & Work, D., Jan 1 2019, In : SIAM Journal on Applied Mathematics. 79, 5, p. 1748-1767 20 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Autonomous Vehicles
Traffic
Car-following Model
Scalar Conservation Laws
Traffic Flow

Well-posedness for scalar conservation laws with moving flux constraints

Liard, T. & Piccoli, B., Jan 1 2019, In : SIAM Journal on Applied Mathematics. 79, 2, p. 641-667 27 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Scalar Conservation Laws
Well-posedness
Conservation
Traffic
Fluxes
2018

A general bv existence result for conservation laws with spatial heterogeneities

Piccoli, B. & Tournus, M., Jan 1 2018, In : SIAM Journal on Mathematical Analysis. 50, 3, p. 2901-2927 27 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Spatial Heterogeneity
Conservation Laws
Existence Results
Conservation
Entropy
7 Citations (Scopus)

Averaged time-optimal control problem in the space of positive Borel measures

Cavagnari, G., Marigonda, A. & Piccoli, B., Apr 1 2018, In : ESAIM - Control, Optimisation and Calculus of Variations. 24, 2, p. 721-740 20 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Time-optimal Control
Borel Measure
Superposition
Optimal Control Problem
Trajectories
56 Citations (Scopus)

Dissipation of stop-and-go waves via control of autonomous vehicles: Field experiments

Stern, R. E., Cui, S., Delle Monache, M. L., Bhadani, R., Bunting, M., Churchill, M., Hamilton, N., Haulcy, R., Pohlmann, H., Wu, F., Piccoli, B., Seibold, B., Sprinkle, J. & Work, D. B., Apr 2018, In : Transportation Research Part C: Emerging Technologies. 89, p. 205-221 17 p.

Rutgers, The State University

Research output: Contribution to journalArticle

traffic
experiment
Experiments
Intelligent control
Fuel economy

Fluvial to torrential phase transition in open canals

Briani, M. & Piccoli, B., Dec 1 2018, In : Networks and Heterogeneous Media. 13, 4, p. 663-690 28 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Balance Laws
Canals
Phase Transition
Phase transitions
Network Flow

Priority-based Riemann solver for traffic flow on networks

Delle Monache, M. L., Goatin, P. & Piccoli, B., Jan 1 2018, In : Communications in Mathematical Sciences. 16, 1, p. 185-211 27 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Riemann Solver
Traffic Flow
Fluxes
Riemann Solvers
Soft Constraints
3 Citations (Scopus)

Regularization of chattering phenomena via bounded variation controls

Caponigro, M., Ghezzi, R., Piccoli, B. & Trelat, E., Jul 2018, In : IEEE Transactions on Automatic Control. 63, 7, p. 2046-2060 15 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Trajectories
Costs
Hybrid systems
Control theory

Riemann solver for a macroscopic double-lane roundabout model

Delle Monache, M. L., Hammond, S. & Piccoli, B., Jan 1 2018, In : IFAC-PapersOnLine. 51, 9, p. 55-60 6 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Fluxes
2017
1 Citation (Scopus)

A convex formulation of traffic dynamics on transportation networks

Li, Y., Claudel, C. G., Piccoli, B. & Work, D. B., Jan 1 2017, In : SIAM Journal on Applied Mathematics. 77, 4, p. 1493-1515 23 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Traffic Dynamics
Transportation Networks
Partial differential equations
Hamilton-Jacobi
Convex optimization
3 Citations (Scopus)
Traffic Model
First-order
Front Tracking
Ordinary differential equations
Wave Front
1 Citation (Scopus)

Experimental and Mathematical Analyses Relating Circadian Period and Phase of Entrainment in Neurospora crassa

Lee, K., Shiva Kumar, P., McQuade, S., Lee, J. Y., Park, S., An, Z. & Piccoli, B., Dec 1 2017, In : Journal of Biological Rhythms. 32, 6, p. 550-559 10 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Neurospora crassa
Population
Circadian Rhythm
Theoretical Models
Genome
14 Citations (Scopus)

Mean-field sparse Jurdjevic-Quinn control

Caponigro, M., Piccoli, B., Rossi, F. & Trélat, E., Jun 30 2017, In : Mathematical Models and Methods in Applied Sciences. 27, 7, p. 1223-1253 31 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Mean Field
Lyapunov Function
Lie Derivative
Lyapunov functions
Transport Equation
1 Citation (Scopus)

Modeling birds on wires

Aydoğdu, A., Frasca, P., D'Apice, C., Manzo, R., Thornton, J. M., Gachomo, B., Wilson, T., Cheung, B., Tariq, U., Saidel, W. & Piccoli, B., Feb 21 2017, In : Journal of Theoretical Biology. 415, p. 102-112 11 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Birds
wire
Wire
birds
Modeling
4 Citations (Scopus)

Multiscale Modeling and Control Architecture for V2X Enabled Traffic Streams

Kachroo, P., Agarwal, S., Piccoli, B. & Ozbay, K., Jun 2017, In : IEEE Transactions on Vehicular Technology. 66, 6, p. 4616-4626 11 p., 7896618.

Rutgers, The State University

Research output: Contribution to journalArticle

Multiscale Modeling
Traffic
Traffic Flow
Traffic Network
Traffic Control

Optimal control of a multi-level dynamic model for biofuel production

Ghezzi, R. & Piccoli, B., Jan 1 2017, In : Mathematical Control and Related Fields. 7, 2, p. 235-257 23 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Multilevel Models
Biofuels
Dynamic models
Dynamic Model
Optimal Control
8 Citations (Scopus)

Optimal synchronization problem for a multi-agent system

Cavagnari, G., Marigonda, A. & Piccoli, B., Jan 1 2017, In : Networks and Heterogeneous Media. 12, 2, p. 277-295 19 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Borel Measure
Multi agent systems
Multi-agent Systems
Synchronization
Trajectories
14 Citations (Scopus)

Regularity and Lyapunov Stabilization of Weak Entropy Solutions to Scalar Conservation Laws

Blandin, S., Litrico, X., Delle Monache, M. L., Piccoli, B. & Bayen, A., Apr 2017, In : IEEE Transactions on Automatic Control. 62, 4, p. 1620-1635 16 p., 7509658.

Rutgers, The State University

Research output: Contribution to journalArticle

Conservation
Entropy
Stabilization
Boundary value problems
Boundary conditions
7 Citations (Scopus)

Sparse Jurdjevic–Quinn stabilization of dissipative systems

Caponigro, M., Piccoli, B., Rossi, F. & Trélat, E., Dec 2017, In : Automatica. 86, p. 110-120 11 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Feedback control
Stabilization
Feedback
Lyapunov functions
Hysteresis
4 Citations (Scopus)

Traffic regulation via controlled speed limit

Delle Monache, M. L., Piccoli, B. & Rossi, F., Jan 1 2017, In : SIAM Journal on Control and Optimization. 55, 5, p. 2936-2958 23 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Traffic
Gradient
Traffic Dynamics
Steepest Descent
Costs
2016
2 Citations (Scopus)
Tangent vector
Hyperbolic Systems of Conservation Laws
Optimal Control Problem
Conservation
Numerical methods
16 Citations (Scopus)

Continuity of the path delay operator for dynamic network loading with spillback

Han, K., Piccoli, B. & Friesz, T. L., Oct 1 2016, In : Transportation Research Part B: Methodological. 92, p. 211-233 23 p.

Rutgers, The State University

Research output: Contribution to journalArticle

continuity
Partial differential equations
Boundary conditions
traffic
supply
29 Citations (Scopus)

Continuous-time link-based kinematic wave model: formulation, solution existence, and well-posedness

Han, K., Piccoli, B. & Szeto, W. Y., Sep 1 2016, In : Transportmetrica B. 4, 3, p. 187-222 36 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Solution Existence
Well-posedness
Continuous Time
Kinematics
Formulation
5 Citations (Scopus)

Notes on RKDG Methods for Shallow-Water Equations in Canal Networks

Briani, M., Piccoli, B. & Qiu, J. M., Sep 1 2016, In : Journal of Scientific Computing. 68, 3, p. 1101-1123 23 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Shallow Water Equations
Canals
First-order
Water
High-order Schemes
15 Citations (Scopus)

On Properties of the Generalized Wasserstein Distance

Piccoli, B. & Rossi, F., Dec 1 2016, In : Archive For Rational Mechanics And Analysis. 222, 3, p. 1339-1365 27 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Wasserstein Distance
Equality
Total Variation
Supremum
Kinetic energy
5 Citations (Scopus)

Optimal control of a collective migration model

Piccoli, B., Pouradier Duteil, N. & Scharf, B., Feb 1 2016, In : Mathematical Models and Methods in Applied Sciences. 26, 2, p. 383-417 35 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Migration
Optimal Control
Target
Optimal Strategy
Control Strategy
2015
16 Citations (Scopus)

A nonlinear model of opinion formation on the sphere

Caponigro, M., Lai, A. C. & Piccoli, B., Sep 1 2015, In : Discrete and Continuous Dynamical Systems- Series A. 35, 9, p. 4241-4266 26 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Opinion Formation
Nonlinear Model
Opinion Dynamics
Controllability
Stabilization
25 Citations (Scopus)

Control to flocking of the kinetic Cucker-Smale model

Piccoli, B., Rossi, F. & Trélat, E., Jan 1 2015, In : SIAM Journal on Mathematical Analysis. 47, 6, p. 4685-4719 35 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Flocking
Kinetics
Configuration
Control Function
Time-varying
1 Citation (Scopus)

Keep right or left? Towards a cognitive-mathematical model for pedestrians

Bravo, M. J., Caponigro, M., Leibowitz, E. & Piccol, B., Jan 1 2015, In : Networks and Heterogeneous Media. 10, 3, p. 559-578 20 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Cognitive Models
Mathematical Model
Mathematical models
Applied mathematics
Optimization Model
12 Citations (Scopus)

Runge–Kutta Discontinuous Galerkin Method for Traffic Flow Model on Networks

Canic, S., Piccoli, B., Qiu, J. M. & Ren, T., Jan 1 2015, In : Journal of Scientific Computing. 63, 1, p. 233-255 23 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Traffic Flow Model
Discontinuous Galerkin Method
Galerkin methods
Runge-Kutta
Traffic Flow
27 Citations (Scopus)

Second-order models and traffic data from mobile sensors

Piccoli, B., Han, K., Friesz, T. L., Yao, T. & Tang, J., Mar 1 2015, In : Transportation Research Part C: Emerging Technologies. 52, p. 32-56 25 p.

Rutgers, The State University

Research output: Contribution to journalArticle

traffic
Sampling
Sensors
Phase transitions
Deceleration
48 Citations (Scopus)

Sparse stabilization and control of alignment models

Caponigro, M., Fornasier, M., Piccoli, B. & Trélat, E., Mar 22 2015, In : Mathematical Models and Methods in Applied Sciences. 25, 3, p. 521-564 44 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Alignment
Stabilization
Self-organization
Sparsity
Controllability
2014

An introduction to the modeling of crowd dynamics

Cristiani, E., Piccoli, B. & Tosin, A., Jan 1 2014, In : Modeling, Simulation and Applications. 12, p. 3-27 25 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Mathematical Modeling
Modeling
Self-organization
Kinetics
Interaction
2 Citations (Scopus)

An overview of the modeling of crowd dynamics

Cristiani, E., Piccoli, B. & Tosin, A., Jan 1 2014, In : Modeling, Simulation and Applications. 12, p. 73-74 2 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Modeling
Optimal Control Theory
Control theory
Model
Review
5 Citations (Scopus)

Basic theory of measure-based models

Cristiani, E., Piccoli, B. & Tosin, A., Jan 1 2014, In : Modeling, Simulation and Applications. 12, p. 137-168 32 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Set Theory
Numerical Approximation
Modeling
Well-posedness
Model
12 Citations (Scopus)

Evolution in measure spaces with wasserstein distance

Cristiani, E., Piccoli, B. & Tosin, A., Jan 1 2014, In : Modeling, Simulation and Applications. 12, p. 169-194 26 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Wasserstein Distance
Measure space
Transport Equation
Byproducts
Discretization

Generalizations of the multiscale approach

Cristiani, E., Piccoli, B. & Tosin, A., Jan 1 2014, In : Modeling, Simulation and Applications. 12, p. 195-219 25 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Generalization
44 Citations (Scopus)
Wasserstein Distance
Transport Equation
Vector Field
Weak Convergence
Cauchy Problem

Mathematical models of cardiac cells arrangements: The bidomain model

Cristiani, E., Piccoli, B. & Tosin, A., Jan 1 2014, In : Modeling, Simulation and Applications. 13, p. 77-122 46 p.

Rutgers, The State University

Research output: Contribution to journalArticle

33 Citations (Scopus)
optimal control
Mean Field
Optimal Control Problem
Optimal Control
Mean-field Limit
1 Citation (Scopus)

Multiscale modeling by time-evolving measures

Cristiani, E., Piccoli, B. & Tosin, A., Jan 1 2014, In : Modeling, Simulation and Applications. 12, p. 109-135 27 p.

Rutgers, The State University

Research output: Contribution to journalArticle

Multiscale Modeling
Modeling
Dimensional Analysis
Numerical Scheme
Kinematics