8 citations · 8 across the 5 of their papers we have counts for
5 papers
New Lyapunov functions for systems with source terms
Martin Gugat
Lyapunov functions with exponential weights have been used successfully as a powerful tool for the stability analysis of hyperbolic systems of balance laws. In this paper we extend…
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…
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…
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…