Search Results - subject:"Hamilton–Jacobi partial differential equation"

The Hamilton–Jacobi partial differential equation and the three representations of traffic flow

Laval, Jorge A.; Leclercq, Ludovic - In: Transportation Research Part B: Methodological 52 (2013) C, pp. 17-30

This paper applies the theory of Hamilton–Jacobi partial differential equations to the case of first-order traffic flow models. The traffic flow surface is analyzed with respect to the three 2-dimensional coordinate systems arising in the space of vehicle number, time and distance. In each...

Persistent link: https://www.econbiz.de/10010666247

DISTURBANCE ATTENUATION IN CONTROL SYSTEMS

KNOBLOCH, HANS W. - In: International Game Theory Review (IGTR) 07 (2005) 03, pp. 261-283

system. The mathematical background — which is worked out in detail — amounts to an explicit integration of the Hamilton-Jacobi … partial differential equation via the method of characteristics. …

Persistent link: https://www.econbiz.de/10004970216