Mixed integer-continuous dynamical Systems with partial differential equations (A03)

Third Party Funds Group - Sub project


Start date : 01.07.2014

Overall project details

Overall project

TRR 154: Mathematical Modelling, Simulation and Optimisation Using the Example of Gas Networks (TRR 154) July 1, 2014 - July 1, 2017

Overall project speaker:

Prof. Dr. Alexander Martin Lehrstuhl für Analytics & Mixed-Integer Optimization, Economics - Discrete Optimization - Mathematics (EDOM)

Project details

Scientific Abstract

The goal of the project is to develop a theory for mixed integer-continuous (hybrid) dynamical systems comprising partial differential equations with application to optimal control of gas networks. The focus lies on creating a theoretical foundation for the regularity and sensitivity of solutions to hyperbolic partial differential equations under the influence of integer decisions.

Involved:

Günter Leugering Project Leader Falk Hante Project Leader

Contributing FAU Organisations:

Lehrstuhl für Angewandte Mathematik SFB/TRR 154: Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzwerken, TP A03

Funding Source

DFG / Sonderforschungsbereich / Transregio (SFB / TRR)