Showing math.OCShow all
3 papers · 1 filter
math.OC2026
Optimal nodal control and the exponential turnpike property for the flow in gas networks
Martin Gugat, Michael Herty, Michael Schuster +1
We study an optimal boundary control problem for a quasilinear hyperbolic system describing isothermal gas flow in pipelines. The control acts at network nodes and models the actio…
math.OC2025
Turnpike property for hierarchical optimal control problems: from particle systems to hydrodynamic equations
Michael Herty, Yizhou Zhou
This work is concerned with a hierarchical framework of optimal control problems connecting interacting particle systems, the mean field limit equations, and associated hydrodynami…
math.OC2024
Exponential turnpike property for particle systems and mean-field limit
Michael Herty, Yizhou Zhou
This work is concerned with the exponential turnpike property for optimal control problems of particle systems and their mean-field limit. Under the assumption of the strict dissip…