Filters








4 Hits in 7.6 sec

State Estimation for the discretized LWR PDE using explicit polyhedral representations of the Godunov scheme

Jerome Thai, Boris Prodhomme, Alexandre M. Bayen
2013 2013 American Control Conference  
This article investigates the problem of estimating the state of discretized hyperbolic scalar partial differential equations.  ...  Using this explicit representation, the system is written as a switching dynamical system (hybrid system), with an exponential number of modes.  ...  We can recursively compute the number of "modes" M k with respect to k, where k is the number of cells of the discretized link.  ... 
doi:10.1109/acc.2013.6580198 fatcat:4hkve7p7oveyhgjvuh3p6aokye

State estimation for polyhedral hybrid systems and applications to the Godunov scheme

Jerome Thai, Alexandre Bayen
2013 Proceedings of the 16th international conference on Hybrid systems: computation and control - HSCC '13  
In this article, the problem of estimating the state of a discretized hyperbolic scalar partial differential equation is studied.  ...  The discretization of the Lighthill-Whitham-Richards equation with a triangular flux function using the Godunov scheme is shown to lead to a hybrid linear system or Switched Linear Systems (SLS) with a  ...  The Lighthill-Whitham-Richards (LWR) PDE [20, 23] and its discretization using the Godunov scheme [14, 17, 25] is a well established model for traffic dynamics, also known as the Cell Transmission  ... 
doi:10.1145/2461328.2461354 dblp:conf/hybrid/ThaiB13 fatcat:hgw2syuijbhsdnrx7isqbw6ihu

State Estimation for Polyhedral Hybrid Systems and Applications to the Godunov Scheme for Highway Traffic Estimation

Jerome Thai, Alexandre M. Bayen
2015 IEEE Transactions on Automatic Control  
This article investigates the problem of estimating the state of discretized hyperbolic scalar partial differential equations.  ...  Using this explicit representation, the system is written as a switching dynamical system, with a state space partitioned into an exponential number of polyhedra in which one mode is active.  ...  The authors would like to thank Professor Claire Tomlin from University of California, Berkeley for insightful discussions on hybrid systems and the members of the staff of the California Institute for  ... 
doi:10.1109/tac.2014.2342151 fatcat:pnp6fzrv4nax3prnqkzie4vnim

Coupling a System Code with Computational Fluid Dynamics for the Simulation of Complex Coolant Reactivity Effects

Davide Bertolotto
2011
of state-of-the-art system codes employed for nuclear power plant (NPP) simulations.  ...  Moreover, two numerical coupling schemes were implemented and tested: a sequential explicit scheme and a sequential semi-implicit scheme.  ...  schemes in a nite volume discretization is to obtain a good estimate of the cell-edge values of the dependent variables.  ... 
doi:10.5075/epfl-thesis-5227 fatcat:bkbt2z5vsvgb5ev2cl4yllrbui