12 citations · 14 across the 5 of their papers we have counts for
6 papers
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…
The Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-Smooth Tracking Terms
Martin Gugat, Michael Schuster, Enrique Zuazua
In this paper, problems of optimal control are considered where in the objective function, in addition to the control cost there is a tracking term that measures the distance to a…
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…
Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property
Martin Gugat, Emmanuel Trélat, Enrique Zuazua
We consider a vibrating string that is fixed at one end with Neumann control action at the other end. We investigate the optimal control problem of steering this system from given…