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

collaborators

66 papers

math.OC2023

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

Karl Kunisch, Buddhika Priyasad

An abstract framework guaranteeing the continuous differentiability of local value functions on associated with optimal stabilization problems subject to abstract semiline…

math.OC2023

Stabilizability for nonautonomous linear parabolic equations with actuators as distributions

Karl Kunisch, Sérgio S. Rodrigues, Daniel Walter

The stabilizability of a general class of abstract parabolic-like equations is investigated, with a finite number of actuators. This class includes the case of actuators given as d…

math.OC2023

Frequency-domain criterion on the stabilizability for infinite-dimensional linear control systems

Karl Kunisch, Gengsheng Wang, Huaiqiang Yu

A quantitative frequency-domain condition related to the exponential stabilizability for infinite-dimensional linear control systems is presented. It is proven that this condition…

math.OC2023

Stabilization of uncertain linear dynamics: an offline-online strategy

Philipp A. Guth, Karl Kunisch, Sérgio S. Rodrigues

A strategy is proposed for adaptive stabilization of linear systems, depending on an uncertain parameter. Offline, the Riccati stabilizing feedback input control operators, corresp…

math.OC2023★ 2 cited

Ensemble Feedback Stabilization of Linear Systems

Philipp A. Guth, Karl Kunisch, Sergio S. Rodrigues

Stabilization of linear control systems with parameter-dependent system matrices is investigated. A Riccati based feedback mechanism is proposed and analyzed. It is constructed by…

math.OC2023★ 1 cited

Optimal polynomial feedback laws for finite horizon control problems

Karl Kunisch, Donato Vásquez-Varas

A learning technique for finite horizon optimal control problems and its approximation based on polynomials is analyzed. It allows to circumvent, in part, the curse dimensionality…