David Salas

David Salas
Universidad de O'Higgins · Instituto de Ciencias de la Ingeniería

PhD

About

23
Publications
2,019
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
101
Citations
Education
September 2013 - December 2016
Université de Montpellier
Field of study
  • Mathematics

Publications

Publications (23)
Preprint
Full-text available
Industrial water conservation is an important adaptation to preserve the environment. Eco-Industrial Parks (EIPs) have been designed to encourage the establishment of water exchange networks between enterprises in order to minimize freshwater consumption and wastewater discharge by maximizing wastewater reuse. This control-input model presents a ma...
Preprint
Full-text available
In the setting of stochastic Stackelberg games, we introduce a new indicator called the Expected Value of Shared Information. This indicator allows to measure, for the leader, the value of having perfect information and sharing it with the follower, in the context where both agents must solve here-and-know problem, making their decisions prior to t...
Preprint
Full-text available
We show that in a metric space, any continuous function with compact sublevel sets and finite metric slope is uniquely determined by the slope and its critical values.
Preprint
Full-text available
In 1996, Mallozzi and Morgan [31] proposed a new model for bilevel games with one leader (which they called Intermediate). The leader has only partial information about how followers select their response among possible multiple optimal ones. This partial information is modeled as a decision-dependent distribution, the so-called belief of the leade...
Preprint
Full-text available
Understanding the strategic behavior of miners in a blockchain is of great importance for its proper operation. A common model for mining games considers an infinite time horizon, with players optimizing asymptotic average objectives. Implicitly, this assumes that the asymptotic behaviors are realized at human-scale times, otherwise invalidating cu...
Article
Full-text available
In past decades, the deployment of renewable-energy-based power generators, namely solar photovoltaic (PV) power generators, has been projected to cause a number of new difficulties in planning, monitoring, and control of power distribution grids. In this paper, a control scheme for flexible asset management is proposed with the aim of closing the...
Article
The present paper is a continuation of a previous work with conditions for regularity of the metric projection. Here we provide a full quantitative characterization of closed bodies in Hilbert spaces with Cp+1-smooth boundary in terms of the smoothness of the metric projection and the behavior of its first derivative.
Article
Full-text available
We show, in Hilbert space setting, that any two convex proper lower semicontinuous functions bounded from below, for which the norm of their minimal subgradients coincide, they coincide up to a constant. Moreover, under classic boundary conditions, we provide the same results when the functions are continuous and defined over an open convex domain....
Article
Motivated by the design and optimization of the water exchange networks in Eco-Industrial Parks (EIP), we investigate the abstract Blind-Input model for general exchange networks. This abstract model is based on a Game Theory approach, formulating it as a Single-Leader-Multi-Follower (SLMF) game: at the upper level, there is an authority (leader) t...
Article
Full-text available
in recent years, growing penetration of renewable-energy-based distributed generation into power distribution grids has been compromising operational constraints. In this paper, a model-based predictive control (MPC) strategy is proposed for demand/supply balance and voltage regulation in a power distribution grid with prolific distributed generati...
Conference Paper
Full-text available
in recent years, growing penetration of renewable-energy-based distributed generation into power distribution grids has been compromising operational constraints. In this paper, a model-based predictive control (MPC) strategy is proposed for demand/supply balance and voltage regulation in a power distribution grid with prolific distributed generati...
Article
This paper explores two new paradigms by studying the techno-economic relevance of a concentrated solar power plant in spot electricity markets involving strong price variations, and by investigating the integration of an innovative thermal storage performed by a thermochemical process in such plant. Its aim is to optimize simultaneously the physic...
Article
Full-text available
The property of continuous differentiability with Lipschitz derivative of the square distance function is known to be a characterization of prox-regular sets. We show in this paper that the property of higher-order continuous differentiability with locally uniformly continuous last derivative of the square distance function near a point of a set ch...
Article
Full-text available
Projected differential equations are known as fundamental mathematical models in economics, for electric circuits, etc. The present paper studies the (higher order) derivability as well as a generalized type of derivability of solutions of such equations when the set involved for projections is prox-regular with smooth boundary. © 2019 American Ins...
Article
Quasi-variational inequalities are variational inequalities in which the constraint map depends on the current point. Due to this characteristic, specific proofs have been built to prove adapted existence results. Semicontinuity and generalized monotonicity are assumed and many efforts have been made in the last decades to use the weakest concepts....
Article
Thermal storage is a key point for the development of concentrated solar power technologies. This article aims to develop a methodology for the optimization, from an economic point of view, of a Concentrated Solar Power plant with thermal storage. It addresses two original aspects: (1) it incorporates a thermochemical storage process; (2) it consid...
Article
Based on a fundamental work of R. B. Holmes from 1973, we study differentiability properties of the metric projection onto prox-regular sets. We show that if the set is a nonconvex body with a $C^{p+1}$-smooth boundary, then the projection is $C^{p}$-smooth near suitable open truncated normal rays, which are determined only by the function of prox-...
Article
We introduce the notion of convex smooth-like (resp. w∗-smooth-like) properties, which are a generalization of the well-known Asplund (resp. w∗-Asplund) prop- erty. We show that many of the reductions made for the Asplund property also work for these smooth-like properties. In this framework, we introduce a new geometrical property, called the Face...
Thesis
Full-text available
This work is divided in two parts: In the first part, we present an integration result in locally convex spaces for a large class of nonconvex functions which enables us to recover the closed convex envelope of a function from its convex subdifferential. Motivated by this, we introduce the class of Subdifferential Dense Primal Determined (SDPD) spa...
Article
We introduce the notions of extended topological vector spaces and extended seminormed spaces, following the main ideas of extended normed spaces, which were introduced by G. Beer and J. Vanderwerff. We provide a topological study of such structures, giving a unifying theory with main applications in the study of spaces of continuous functions. We...
Article
Full-text available
We extend results of R. Correa, Y. Garcia and A. Hantoute ["Integration formulas via the (Fenchel) subdifferential of nonconvex functions", Nonlinear Analysis 75(3) (2012) 1188-1201)] dealing with the integration of nonconvex epi-pointed functions using the Fenchel subdifferential. In this line, we prove that the classical formula of Rockafellar in...

Network

Cited By

Projects

Projects (3)
Project
To provide a detailed study of Bilevel games where the decision of the followers is uncertain.
Project
The aim of this project is to investigate the integration of such a thermochemical process in a CSP installation by an approach which aims at the global optimization of the performances of the power plant integrating this storage.