12 citations · 14 across the 5 of their papers we have counts for
4 papers · 1 filter
Modeling, Control and Numerics of Gas Networks
Martin Gugat, Michael Herty
In this article we survey recent progress on mathematical results on gas flow in pipe networks with a special focus on questions of control and stabilization. We briefly present th…
On the turnpike phenomenon for optimal boundary control problems with hyperbolic systems
Martin Gugat, Falk Hante
We study problems of optimal boundary control with systems governed by linear hyperbolic partial differential equations. The objective function is quadratic and given by an integra…
Boundary feedback stabilization of the isothermal Euler-equations with uncertain boundary data
Martin Gugat, Rüdiger Schultz
In a gas transport system, the customer behavior is uncertain. Motivated by this situation, we consider a boundary stabilization problem for the flow through a gas pipeline, where…
Boundary stabilization of quasilinear hyperbolic systems of balance laws: Exponential decay for small source terms
Martin Gugat, Vincent Perrollaz, Lionel Rosier
We investigate the long-time behavior of solutions of quasilinear hyperbolic systems with transparent boundary conditions when small source terms are incorporated in the system. Ev…