80 citations · 151 across the 7 of their papers we have counts for
10 papers
Penalty alternating direction methods for mixed-integer optimal control with combinatorial constraints
Simone Göttlich, Falk M. Hante, Andreas Potschka +1
We consider mixed-integer optimal control problems with combinatorial constraints that couple over time such as minimum dwell times. We analyze a lifting and decomposition approach…
Stabilization of Partial Differential Equations by Sequential Action Control
Yan Brodskyi, Falk M. Hante, Arno Seidel
We present a framework of sequential action control (SAC) for stabilization of systems of partial differential equations which can be posed as abstract semilinear control problems…
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…
Stability and Optimal Control of Switching PDE-Dynamical Systems
Falk M. Hante
Selected results for the stability and optimal control of abstract switched systems in Banach and Hilbert space are reviewed. The dynamics are typically given in a piecewise sense…
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…
Optimal Switching for Hybrid Semilinear Evolutions
Fabian Rueffler, Falk M. Hante
We consider the optimization of a dynamical system by switching at discrete time points between abstract evolution equations composed by nonlinearly perturbed strongly continuous s…
Relaxation Methods for Hyperbolic PDE Mixed-Integer Optimal Control Problems
Falk M. Hante
We extend the convergence analysis for methods solving PDE-constrained optimal control problems containing both discrete and continuous control decisions based on relaxation and ro…
Relaxation Methods for Mixed-Integer Optimal Control of Partial Differential Equations
Falk M. Hante, Sebastian Sager
We consider integer-restricted optimal control of systems governed by abstract semilinear evolution equations. This includes the problem of optimal control design for certain distr…
On conditions for asymptotic stability of dissipative infinite-dimensional systems with intermittent damping
Falk Hante, Mario Sigalotti, Marius Tucsnak
We study the asymptotic stability of a dissipative evolution in a Hilbert space subject to intermittent damping. We observe that, even if the intermittence satisfies a persistent e…
Converse Lyapunov Theorems for Switched Systems in Banach and Hilbert Spaces
Falk Hante, Mario Sigalotti
We consider switched systems on Banach and Hilbert spaces governed by strongly continuous one-parameter semigroups of linear evolution operators. We provide necessary and sufficien…