15 citations · 54 across the 11 of their papers we have counts for
12 papers
Observability as a constraint qualification for a nonsmooth bilevel PDE-constrained problem
Christian Clason, Alberto Domínguez Corella, Jyrki Jauhiainen
Motivated by experiment design for parameter identification in image reconstruction, we analyze a bilevel control problem involving sparse inversion at the lower level. Qualified o…
The Brøndsted-Rockafellar theorem in geodesic spaces
Alberto Domínguez Corella, Alejandro Villegas-Acuña
We present a constructive version of the Brøndsted-Rockafellar theorem in general geodesic metric spaces. Applications include a constructive form of the Caristi theorem and quanti…
On the geometry of sharp minima
Alberto Domínguez Corella
We give characterizations of sharp minimizers that emphasize their geometric properties. These include tilt invariance and weak upper gradient conditions. We relate sharp minimalit…
The maximum principle for discrete-time control systems and applications to dynamic games
Alberto Domínguez Corella, Onésimo Hernández-Lerma
We study deterministic nonstationary discrete-time optimal control problems in both finite and infinite horizon. With the aid of Gateaux differentials, we prove a discrete-time max…
Strong bi-metric regularity in affine optimal control problems
Alberto Domínguez Corella, Marc Quincampoix, Vladimir Veliov
The paper presents new sufficient conditions for the property of strong bi-metric regularity of the optimality map associated with an optimal control problem which is affine with r…
Hölder regularity in bang-bang type affine optimal control problems
Alberto Domínguez Corella, Vladimir Veliov
This paper revisits the issue of Hölder Strong Metric sub-Regularity (HSMs-R) of the optimality system associated with ODE optimal control problems that are affine with respect to…
On the accuracy of the model predictive control method
Georgi Angelov, Alberto Domínguez Corella, Vladimir Veliov
The paper investigates the accuracy of the Model Predictive Control (MPC) method for finding online approximate optimal feedback control for Bolza type problems on a fixed finite h…
Stability and genericity of bang-bang controls in affine problems
Alberto Domínguez Corella, Gerd Wachsmuth
We analyse the role of the bang-bang property in affine optimal control problems. We show that many essential stability properties of affine problems are only satisfied when minimi…
Solution stability of parabolic optimal control problems with fixed state-distribution of the controls
Alberto Domínguez Corella, Nicolai Jork, Vladimir M. Veliov
The paper presents results about strong metric subregularity of the optimality mapping associated with the system of first-order necessary optimality conditions for a problem of op…
On the solution stability of parabolic optimal control problems
Alberto Domínguez Corella, Nicolai Jork, Vladimir M. Veliov
The paper investigates stability properties of solutions of optimal control problems for semilinear parabolic partial differential equations. Hölder or Lipschitz dependence of the…
New assumptions for stability analysis in elliptic optimal control problems
Eduardo Casas, Alberto Domínguez Corella, Nicolai Jork
This paper is dedicated to the stability analysis of the optimal solutions of a control problem associated with a semilinear elliptic equation. The linear differential operator of…
Stability in affine optimal control problems constrained by semilinear elliptic partial differential equations
Alberto Domínguez Corella, Nicolai Jork, Vladimir Veliov
This paper investigates stability properties of affine optimal control problems constrained by semilinear elliptic partial differential equations. This is done by studying the so c…