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math.OC2017★ 8 cited
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…
math.OC2016
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…
math.OC2010
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…