Admissible Robust nodal control (C03)

Third Party Funds Group - Sub project

Overall project details

Overall project: TRR 154: Mathematical Modelling, Simulation and Optimisation Using the Example of Gas Networks

Overall project speaker:
Prof. Dr. Alexander Martin (Economics - Discrete Optimization - Mathematics (EDOM))


Project Details

Project leader:
apl. Prof. Dr. Martin Gugat


Contributing FAU Organisations:
Lehrstuhl für Angewandte Mathematik
SFB/TRR 154: Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzwerken, TP C03

Funding source: DFG / Sonderforschungsbereich / Transregio (SFB / TRR)
Acronym: TRR 154
Start date: 01/07/2014


Abstract (technical / expert description):


The focus lies on the development of a mathematical theory for optimal control problems with hyperbolic PDEs and stochastic boundary data. We will provide a reasonable framework for the system dynamics, develop objective functions motivated by applications, prove the existence of optimal controls and provide necessary optimality conditions and sensitivity results for the optimal value functions. We will study networks with 1D space variables and with control action that is concentrated in a relatively small number of parts of the network.


External Partners

Universität Duisburg-Essen (UDE)


Publications

Gugat, M., & Schuster, M. (2018). Stationary Gas Networks with Compressor Control and Random Loads: Optimization with Probabilistic Constraints. Mathematical Problems in Engineering, 2018. https://dx.doi.org/10.1155/2018/7984079
Gugat, M., & Wintergerst, D. (2018). Transient flow in gas networks: Traveling waves. International Journal of Applied Mathematics and Computer Science, 28(2), 341–348. https://dx.doi.org/10.2478/amcs-2018-0025

Last updated on 2018-26-09 at 13:38