activity
20142023
most citedPolynomial approximation of high-dimensional Hamilton-Jacobi-Bellman equations and applications to feedback control of semilinear parabolic PDEs

88 citations · 467 across the 63 of their papers we have counts for

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Showing 2021Show all

7 papers · 1 filter

math.OC2021★ 1 cited

Infinite Horizon Optimal Control Problems for a Class of Semilinear Parabolic Equations

Eduardo Casas, Karl Kunisch

Infinite horizon open loop optimal control problems for semilinear parabolic equations are investigated. The controls are subject to a cost-functional which promotes sparsity in ti…

math.OC2021

Optimal Control of Semilinear Parabolic Equations with Non-smooth Pointwise-Integral Control Constraints in Time-Space

Eduardo Casas, Karl Kunisch

This work concentrates on a class of optimal control problems for semilinear parabolic equations subject to control constraint of the form for $t \in (0,T…

math.OC2021

Saturated feedback stabilizability to trajectories for the Schlögl parabolic equation

Behzad Azmi, Karl Kunisch, Sérgio S. Rodrigues

It is shown that there exist a finite number of indicator functions, which allow us to track an arbitrary given trajectory of the Schlögl model, by means of an explicit saturated f…

math.OC2021

On fast convergence rates for generalized conditional gradient methods with backtracking stepsize

Karl Kunisch, Daniel Walter

A generalized conditional gradient method for minimizing the sum of two convex functions, one of them differentiable, is presented. This iterative method relies on two main ingredi…

math.OC2021

Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on under Control Constraints

Karl Kunisch, Buddhika Priyasad

An abstract framework guaranteeing the local continuous differentiability of the value function associated with optimal stabilization problems subject to abstract semilinear parabo…

math.OC2021

Design of the monodomain model by artificial neural networks

Sebastien Court, Karl Kunisch

We propose an optimal control approach in order to identify the nonlinearity in the monodomain model, from given data. This data-driven approach gives an answer to the problem of s…