13 citations · 33 across the 34 of their papers we have counts for
7 papers · 2 filters
Turnpike in Lipschitz-nonlinear optimal control
Carlos Esteve-Yagüe, Borjan Geshkovski, Dario Pighin +1
We present a new proof of the turnpike property for nonlinear optimal control problems, when the running target is a steady control-state pair of the underlying system. Our strateg…
Large-time asymptotics in deep learning
Carlos Esteve, Borjan Geshkovski, Dario Pighin +1
We consider the neural ODE perspective of supervised learning and study the impact of the final time (which may indicate the depth of a corresponding ResNet) in training. For t…
Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems
Jan Heiland, Enrique Zuazua
The concept of turnpike connects the solution of long but finite time horizon optimal control problems with steady state optimal controls. A key ingredient of the analysis of the t…
The Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-Smooth Tracking Terms
Martin Gugat, Michael Schuster, Enrique Zuazua
In this paper, problems of optimal control are considered where in the objective function, in addition to the control cost there is a tracking term that measures the distance to a…
Constrained control of gene-flow models
Idriss Mazari, Domenec Ruiz-Balet, Enrique Zuazua
In ecology and population dynamics, gene-flow refers to the transfer of a trait from one population to another. This phenomenon appears in studying the evolution of social features…
Stochastic optimization methods for the simultaneous control of parameter-dependent systems
Umberto Biccari, Ana Navarro-Quiles, Enrique Zuazua
We address the application of stochastic optimization methods for the simultaneous control of parameter-dependent systems. In particular, we focus on the classical Stochastic Gradi…