Applications of the covering property axiom

The purpose of this work is two-fold. First, we present some consequences of the Covering Property Axiom CPA of Ciesielski and Pawlikowski which captures the combinatorial core of the Sacks\u27 model of the set theory. Second, we discuss the assumptions in the formulation of different versions of CPA.;As our first application of CPA we prove that under the version CPAgamecube of CPA there are uncountable strong gamma-sets on R . It is known that Martin\u27s Axiom (MA) implies the existence of a strong gamma-set on R . Our result is interesting since that CPAgamecube implies the negation of MA.;Next, we use the version CPAgameprism of CPA to construct some special ultrafilters on Q . An ultrafilter on Q is crowded provided it contains a filter basis consisting of perfect sets in Q . These ultrafilters have been constructed under various hypotheses. We study the properties of being P-point, Q-point, and o1-OK point and their negations; and prove under CPAgameprism the existence of an o1-generated crowded ultrafilter satisfying each consistent combination of these properties. We also refute an earlier claim by Ciesielski and Pawlikowski by proving under CPAgameprism that there are 2c -many crowded c -generated Q-points.;We also study various notions of density, central to the foundation of CPA and defined in the set of all perfect subsets of a Polish space X . These notions involve the concepts of perfect cube and iterated perfect set on Ca . If X is a Polish space, we say that F ⊆ Perf( X ) is alpha-cube (alpha-prism) dense provided for every continuous injection f : Ca → X there exists a perfect cube (iterated perfect set) C ⊆ Ca such that f[C] ∈ F .;We prove that for every alpha \u3c o1 and every Polish space X there exists a family F such that F is beta-prism dense for every beta \u3c alpha but &vbm0;X\⋃ F&vbm0;=c . Therefore, any attempt of strengthening of axiom CPAprism by replacing prism-density with any proper subclass of these densities leads to a false statement. The proof of this theorem is based in the following result: Any separately nowhere-constant function defined on a product of Polish spaces is one-to-one on some perfect cube

Application of a Fractional Order Integral Resonant Control to increase the achievable bandwidth of a nanopositioner

The congress program will essentially include papers selected on the highest standard by the IPC, according to the IFAC guidelines www.ifac-control.org/publications/Publications-requirements-1.4.pdf, and published in open access in partnership with Elsevier in the IFAC-PapersOnline series, hosted on the ScienceDirect platform www.sciencedirect.com/science/journal/24058963. Survey papers overviewing a research topic are also most welcome. Contributed papers will have usual 6 pages length limitation. 12 pages limitation will apply to survey papers.Publisher PD

Retinal Image Analysis Oriented to the Clinical Task

Ophthalmology can profit greatly from the analysis of digital images because they can aid in establishing an early diagnosis even before the first symptoms appear. This dissertation contributes to the digital analysis of such images and the problems that arise along the imaging pipeline of fundus photography, a field that is commonly referred to as retinal image analysis. We have dealt with and proposed solutions to problems that arise in retinal image acquisition and longitudinal monitoring of retinal disease evolution. Specifically, non- uniform illumination compensation[1], poor image quality [2], automated focusing [3], image segmentation [4], change detection [5], space-invariant (SI) [5] and space-variant (SV) [6] blind deconvolution (BD). Digital retinal image analysis can be effective and cost-efficient for disease management, computer-aided-diagnosis, screening and telemedicine and applicable to a variety of disorders such as glaucoma, macular degeneration, and retinopathy [7, 8]

Butterworth Pattern-based Simultaneous Damping and Tracking Controller Designs for Nanopositioning Systems

Peer reviewedPublisher PD

A Modified Positive Velocity and Position Feedback scheme with delay compensation for improved nanopositioning performance

Acknowledgments This paper was sponsored by the Spanish FPU12/00984 Program (Ministerio de Educacion, Cultura y Deporte). It was also sponsored by the Spanish Government Research Program with the Project DPI2012-37062-CO2-01 (Ministerio de Economia y Competitividad) and by the European Social Fund.Peer reviewedPostprin

Two-degrees-of-freedom PI2D controller for precise nanopositioning in the presence of hardware-induced constant time delay

This work was supported in part by the Spanish Agencia Estatal de Investigacion (AEI) under Project DPI2016-80547-R (Ministerio de Economia y Competitividad) and in part by the European Social Fund (FEDER, EU), and in part by the Spanish FPU12/00984 Program (Ministerio de Educacion, Cultura y Deporte).Peer reviewedPostprin

Hybrid Control Strategy for Force and Precise End Effector Positioning of a Twisted String Actuator

Funding Agency: Swiss Innovation Agency, InnosuissePeer reviewedPostprin

Quantifying the Performance Enhancement Facilitated by Fractional-Order Implementation of Classical Control Strategies for Nanopositioning

Open Access via the Elsevier/JISC agreementPeer reviewe

A mathematical model for the optimization of e-commerce logistics operations in the face of the spread of COVID-19

In this work, it was carry out a new model of attention to product orders in e-commerce operations in a pandemic situation. The model was evaluated in situations that require capacity and flexibility for companies when the forecast presents a high level of uncertainty. A two-echelon multi-period MIP model was used. It was shown from a case example the model's behavior in stressful situations, which represent a pandemic moment or high demand, and a case in which companies can use the model for decision-making when demand is lower or stable. It is proposed to use a productivity factor and extra hours to decide to hire permanent or temporary employees to take the best strategies in its logistics operations. The results show the usability of the model for decisions and the flexibility obtained for better productivity in e-commerce operations. © 2021 IEEE

Fractional order implementation of Integral Resonant Control – A nanopositioning application

This paper was sponsored by the Spanish FPU12/00984 Program (Ministerio de Educacion, Cultura y Deporte). It was also sponsored by the Spanish Government Research Program with the Project DPI2012-37062-CO2-01 (Ministerio de Economia y Competitividad) and by the European Social Fund.Peer reviewedPostprin