… and an observation model in state–space form, and … Thereafter, we will describe the proposed
Lagrangian state estimator. … of the state-space model (13), we will formulate the EKF state …

… of Lagrangian traffic flow models in traffic state estimation. In this paper, a new traffic state
estimation model by using Lagrangian-space … the TTM model into a state-space form to fit the …

… traffic sensors. This article presents a new technique to incorporate mobile probe measurements
into highway traffic … These two techniques are both used to reconstruct traffic density. …

… traffic state estimation framework using the LWR model formulated in vehicle number – space
(Lagrangian – space… benefits and modelling flexibility from Lagrangian (vehicle number – …

… model of traffic dynamics in Lagrangian coordinates. … traffic dynamics and, thereby,
overcoming issues with aggressive oscillation typically observed in sample paths of stochastic traffic …

… In this work, the system model is the Lagrangian-space formulation of the LWR model. It …
traffic stream, this induces bias in traffic state estimation which tends to overestimate travel times. …

… Eulerian (space-time) coordinates are fixed in space; Lagrangian (vehicle … of Lagrangian
traffic state estimation, and thus to fill the four main blanks in the current traffic state estimation …

… proposes a state-space model that estimates traffic states over a … a traffic flow model. Although
a number of studies propose … of traffic state estimation by fusing Eulerian and Lagrangian …

… , this study formulates and validates a state-space model for a two-dimensional … of traffic
state estimation by fusing Eulerian and Lagrangian traffic data represented respectively by traffic …

… stream) than in Eulerian coordinates (which are fixed in space). In this article such a
Lagrangian system model for state estimation is used. The approach uses the extended Kalman …