7 papers
Differentiability of the value function in control-constrained parabolic problems
Alberto DomÃnguez Corella, Nicolai Jork, Stefan Volkwein
Along the optimal trajectory of an optimal control problem constrained by a semilinear parabolic partial differential equation, we prove the differentiability of the value function…
The Brøndsted-Rockafellar theorem in geodesic spaces
Alberto DomÃnguez 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 quant…
On the geometry of sharp minima
Alberto DomÃnguez 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 DomÃnguez 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 DomÃnguez 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 DomÃnguez 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…