2013 - Fellow of the American Mathematical Society
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.
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.
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.
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.
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Traffic Flow on Networks
Mauro Garavello;Benedetto Piccoli.
(2006)
Introduction to the Mathematical Theory of Control
Alberto Bressan;Benedetto Piccoli.
(2007)
Traffic Flow on a Road Network
Giuseppe Maria Coclite;Mauro Garavello;Benedetto Piccoli.
Siam Journal on Mathematical Analysis (2005)
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)
A traffic model for velocity data assimilation
Daniel B. Work;Sébastien Blandin;Olli Pekka Tossavainen;Benedetto Piccoli.
Applied Mathematics Research Express (2010)
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)
Optimal Syntheses for Control Systems on 2-D Manifolds
Ugo Boscai;Benedetto Piccoli.
(2003)
Multiscale Modeling of Pedestrian Dynamics
Emiliano Cristiani;Benedetto Piccoli;Andrea Tosin.
(2014)
Multiscale Modeling of Granular Flows with Application to Crowd Dynamics
Emiliano Cristiani;Benedetto Piccoli;Andrea Tosin.
Multiscale Modeling & Simulation (2011)
Well-posedness of the Cauchy problem for × systems of conservation laws
Alberto Bressan;Graziano Crasta;Benedetto Piccoli.
Memoirs of the American Mathematical Society (2000)
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