18 citations · 55 across the 17 of their papers we have counts for
18 papers
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…
Synchronization of velocities in pipline flow of blended gas
Martin Gugat
We consider the pipeline flow of blended gas. The flow is governed by a coupled system where for each component we have the isothermal Euler equations with an additional velocity c…
The turnpike property for high-dimensional interacting agent systems in discrete time
Martin Gugat, Michael Herty, Jiehong Liu +1
We investigate the interior turnpike phenomenon for discrete-time multi-agent optimal control problems. While for continuous systems the turnpike property has been established, we…
An Observer for pipeline flow with hydrogen blending in gas networks: exponential synchronization
Martin Gugat, Jan Giesselmann
We consider a state estimation problem for gas flows in pipeline networks where hydrogen is blended into the natural gas. The flow is modeled by the quasi-linear isothermal Euler e…
The turnpike property for mean-field optimal control problems
Martin Gugat, Michael Herty, Chiara Segala
We study the turnpike phenomenon for optimal control problems with mean field dynamics that are obtained as the limit of systems governed by a large number $N…
Observer-based data assimilation for barotropic gas transport using distributed measurements
Jan Giesselmann, Martin Gugat, Teresa Kunkel
We consider a state estimation problem for gas pipeline flow modeled by the one-dimensional barotropic Euler equations. In order to reconstruct the system state, we construct an ob…
On a nodal observer for a semilinear model for the flow in gas networks
Martin Gugat, Jan Giesselmann, Teresa Kunkel
The flow of gas through networks of pipes can be modeled by coupling hyperbolic systems of partial differential equations that describe the flow through the pipes that form the edg…
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…
Probabilistic Constrained Optimization on Flow Networks
Michael Schuster, Elisa Strauch, Martin Gugat +1
Uncertainty often plays an important role in dynamic flow problems. In this paper, we consider both, a stationary and a dynamic flow model with uncertain boundary data on networks.…
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…
Lipschitz Continuity of the Value Function in Mixed-Integer Optimal Control Problems
Martin Gugat, Falk M. Hante
We study the optimal value function for control problems on Banach spaces that involve both continuous and discrete control decisions. For problems involving semilinear dynamics su…
Neumann boundary feedback stabilization for a nonlinear wave equation: A strict -Lyapunov function
Martin Gugat, Günter Leugering, Ke Wang
For a system that is governed by the isothermal Euler equations with friction for ideal gas, the corresponding field of characteristic curves is determined by the velocity of the f…
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…
On Optimized Feedback Control and the Robustification of Opimal Controls
Martin Gugat
We consider a system that is exactly controllable. For given initial state, terminal state and objective function, an optimal control is often well-defined. Such an optimal control…
Boundary feedback stabilization by piecewise constant time delay for the wave equation
Martin Gugat, Marius Tucsnak
For vibrating systems, a delay in the application of a feedback control can destroy the stabilizing effect of the control. In this paper we consider a vibrating string that is fixe…