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- Benedetto Piccoli

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
46
Citations
8,400
277
World Ranking
977
National Ranking
464

Engineering and Technology
D-index
50
Citations
9,668
292
World Ranking
2019
National Ranking
780

2013 - Fellow of the American Mathematical Society

- Mathematical analysis
- Artificial intelligence
- Computer network

Benedetto Piccoli spends much of his time researching Mathematical analysis, Conservation law, Optimal control, Initial value problem and Mathematical optimization. Benedetto Piccoli combines subjects such as Underdetermined system, Traffic flow, Scalar, Applied mathematics and Riemann hypothesis with his study of Conservation law. His Optimal control research is multidisciplinary, incorporating perspectives in Immune system and Cancer immunotherapy.

His Mathematical optimization research is multidisciplinary, relying on both Hybrid system, Controllability and Ode. The Uniqueness study combines topics in areas such as Measure and Convection–diffusion equation. His Control theory research incorporates elements of Traffic wave and Traffic flow.

- Traffic Flow on a Road Network (260 citations)
- Dissipation of stop-and-go waves via control of autonomous vehicles: Field experiments (215 citations)
- Traffic Flow on Networks (215 citations)

Control theory, Applied mathematics, Conservation law, Optimal control and Mathematical optimization are his primary areas of study. His studies deal with areas such as Control and Limit as well as Control theory. His Applied mathematics study incorporates themes from Measure, Lipschitz continuity and Ordinary differential equation.

His Conservation law research is within the category of Mathematical analysis. Benedetto Piccoli interconnects Riemann solver and Pure mathematics in the investigation of issues within Mathematical analysis. His study looks at the relationship between Initial value problem and topics such as Uniqueness, which overlap with Convection–diffusion equation.

- Control theory (17.38%)
- Applied mathematics (16.84%)
- Conservation law (16.31%)

- Applied mathematics (16.84%)
- Traffic flow (12.30%)
- Control theory (17.38%)

Benedetto Piccoli mainly investigates Applied mathematics, Traffic flow, Control theory, Mathematical analysis and Conservation law. The study incorporates disciplines such as Measure, Norm, Uniqueness and Ordinary differential equation, Differential equation in addition to Applied mathematics. His Traffic flow course of study focuses on Partial differential equation and Convex optimization, Grid, Discretization and Topology.

The Optimal control research Benedetto Piccoli does as part of his general Control theory study is frequently linked to other disciplines of science, such as Gradient descent, therefore creating a link between diverse domains of science. His study with Optimal control involves better knowledge in Mathematical optimization. Benedetto Piccoli interconnects Ode, Bounded variation and Scalar in the investigation of issues within Conservation law.

- Dissipation of stop-and-go waves via control of autonomous vehicles: Field experiments (215 citations)
- On Properties of the Generalized Wasserstein Distance (48 citations)
- Models for vehicular traffic on networks (47 citations)

- Mathematical analysis
- Artificial intelligence
- Computer network

His scientific interests lie mostly in Control theory, Applied mathematics, Mathematical analysis, Traffic flow and Traffic wave. His Control theory research includes themes of Control, Simulation and Social dynamics. His Applied mathematics research is multidisciplinary, relying on both Norm, Trajectory, Ordinary differential equation and Optimal control.

The Mathematical analysis study combines topics in areas such as Lyapunov equation and Lyapunov redesign. His Traffic flow study combines topics in areas such as Traffic regulation, Road networks, Fuel efficiency, Acceleration and Ode. His research integrates issues of Microsimulation and Flow in his study of Traffic wave.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Traffic Flow on Networks

Mauro Garavello;Benedetto Piccoli.

**(2006)**

569 Citations

Introduction to the Mathematical Theory of Control

Alberto Bressan;Benedetto Piccoli.

**(2007)**

536 Citations

Traffic Flow on a Road Network

Giuseppe Maria Coclite;Mauro Garavello;Benedetto Piccoli.

Siam Journal on Mathematical Analysis **(2005)**

463 Citations

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

Raphael E. Stern;Shumo Cui;Maria Laura Delle Monache;Rahul Bhadani.

Transportation Research Part C-emerging Technologies **(2018)**

450 Citations

A traffic model for velocity data assimilation

Daniel B. Work;Sébastien Blandin;Olli Pekka Tossavainen;Benedetto Piccoli.

Applied Mathematics Research Express **(2010)**

318 Citations

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

Raphael E. Stern;Shumo Cui;Maria Laura Delle Monache;Rahul Bhadani.

Unknown Journal **(2017)**

301 Citations

Optimal Syntheses for Control Systems on 2-D Manifolds

Ugo Boscai;Benedetto Piccoli.

**(2003)**

272 Citations

Multiscale Modeling of Pedestrian Dynamics

Emiliano Cristiani;Benedetto Piccoli;Andrea Tosin.

**(2014)**

242 Citations

Multiscale Modeling of Granular Flows with Application to Crowd Dynamics

Emiliano Cristiani;Benedetto Piccoli;Andrea Tosin.

Multiscale Modeling & Simulation **(2011)**

239 Citations

Well-posedness of the Cauchy problem for × systems of conservation laws

Alberto Bressan;Graziano Crasta;Benedetto Piccoli.

Memoirs of the American Mathematical Society **(2000)**

234 Citations

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