Control of the continuity equation with a non local flow
RM Colombo, M Herty, M Mercier - ESAIM: Control, Optimisation and …, 2011 - cambridge.org
This paper focuses on the analytical properties of the solutions to the continuity equation
with non local flow. Our driving examples are a supply chain model and an equation for the …
with non local flow. Our driving examples are a supply chain model and an equation for the …
Adjoint and defect error bounding and correction for functional estimates
We present two error estimation approaches for bounding or correcting the error in
functional estimates such as lift or drag. Adjoint methods quantify the error in a particular …
functional estimates such as lift or drag. Adjoint methods quantify the error in a particular …
Optimal control in networks of pipes and canals
This paper deals with the optimal control of systems governed by nonlinear systems of
conservation laws at junctions. The applications considered range from gas compressors in …
conservation laws at junctions. The applications considered range from gas compressors in …
A sensitivity and adjoint calculus for discontinuous solutions of hyperbolic conservation laws with source terms
S Ulbrich - SIAM journal on control and optimization, 2002 - SIAM
We present a sensitivity and adjoint calculus for the control of entropy solutions of scalar
conservation laws with controlled initial data and source term. The sensitivity analysis is …
conservation laws with controlled initial data and source term. The sensitivity analysis is …
Adjoint complement to the volume-of-fluid method for immiscible flows
The paper is concerned with an adjoint complement to the Volume-of-Fluid (VoF) method for
immiscible two-phase flows, eg air and water, which is widely used in marine engineering …
immiscible two-phase flows, eg air and water, which is widely used in marine engineering …
Control of continuum models of production systems
M La Marca, D Armbruster, M Herty… - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
A production system which produces a large number of items in many steps can be
modelled as a continuous flow problem. The resulting hyperbolic partial differential equation …
modelled as a continuous flow problem. The resulting hyperbolic partial differential equation …
Adjoint-based optimization on a network of discretized scalar conservation laws with applications to coordinated ramp metering
The adjoint method provides a computationally efficient means of calculating the gradient for
applications in constrained optimization. In this article, we consider a network of scalar …
applications in constrained optimization. In this article, we consider a network of scalar …
[图书][B] Control problems for conservation laws with traffic applications: modeling, analysis, and numerical methods
Conservation and balance laws on networks have been the subject of much research
interest given their wide range of applications to real-world processes, particularly traffic …
interest given their wide range of applications to real-world processes, particularly traffic …
Convergence of linearized and adjoint approximations for discontinuous solutions of conservation laws. Part 1: Linearized approximations and linearized output …
This paper analyzes the convergence of discrete approximations to the linearized equations
arising from an unsteady one-dimensional hyperbolic equation with a convex flux function. A …
arising from an unsteady one-dimensional hyperbolic equation with a convex flux function. A …
An alternating descent method for the optimal control of the inviscid Burgers equation in the presence of shocks
C Castro, F Palacios, E Zuazua - Mathematical Models and Methods …, 2008 - World Scientific
We introduce a new optimization strategy to compute numerical approximations of
minimizers for optimal control problems governed by scalar conservation laws in the …
minimizers for optimal control problems governed by scalar conservation laws in the …