Control Problems for Conservation Laws with Traffic Applications

Alexandre Bayen is a Professor of Electrical Engineering and Computer Science at UC Berkeley, and the Director of the Institute of Transportation Studies. Maria Laura Delle Monache is a research scientist at Inria, the French National Institute for computer Science and Applied Mathematics. Mauro Garavello is an Associate Professor of Mathematical Analysis at the University of Milano Bicocca.Paola Goatin is Research Director a Inria, the French National Institute for Research in Digital Science and TechnologyBenedetto Piccoli is Distinguished Professor and the Joseph and Loretta Lopez Chair Professor of Mathematics at Rutgers University - Camden. He also serves as Vice Chancellor for Research.

• Introduction.- Boundary Control.- Decentralized Control.- Distributed Control.- Lagrangian Control.- Hamilton-Jacobi Equations.- Appendix A: Balance Laws with Boundary.- Conservation Laws on Networks.

“This book provides comprehensive and self-contained descriptions and analysis of such problems and can be used for a one semester course at graduate or advanced undergraduate level.” (Giuseppe Maria Coclite, Mathematical Reviews, April, 2024)