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Fixed Point and Best Proximity Theorems under Two Classes of Integral-Type Contractive Conditions in Uniform Metric Spaces
De la Sen Parte, Manuel 
(Hindawi Publishing Corporation, 2010)
(Hindawi Publishing Corporation, 2010)
This paper investigates the existence of fixed points and best proximity points of p-cyclic self-maps on a set of subsets of a certain uniform space under integral-type contractive conditions. The parallel properties of ...
Global Stability of Polytopic Linear Time-Varying Dynamic Systems under Time-Varying Point Delays and Impulsive Controls
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2010)
(Hindawi Publishing Corporation, 2010)
This paper investigates the stability properties of a class of dynamic linear systems possessing several linear time-invariant parameterizations (or configurations) which conform a linear time-varying polytopic dynamic ...
Some Results on Fixed and Best Proximity Points of Precyclic Self-Mappings
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2013)
(Hindawi Publishing Corporation, 2013)
This paper is devoted to investigating the limit properties of distances and the existence and uniqueness of fixed points, best proximity points and existence, and uniqueness of limit cycles, to which the iterated sequences ...
On Best Proximity Point Theorems and Fixed Point Theorems for p-Cyclic Hybrid Self-Mappings in Banach Spaces
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2013)
(Hindawi Publishing Corporation, 2013)
This paper relies on the study of fixed points and best proximity points of a class of so-called generalized point-dependent (K-Lambda)hybrid p-cyclic self-mappings relative to a Bregman distance Df, associated with a ...
On Bounded Strictly Positive Operators of Closed Range and Some Applications to Asymptotic Hyperstability of Dynamic Systems
De la Sen Parte, Manuel (Hindawi, 2013)
(Hindawi, 2013)
The problem discussed is the stability of two input-output feedforward and feedback relations, under an integral-type constraint defining an admissible class of feedback controllers. Sufficiency-type conditions are given ...
Pata contractions and coupled type fixed points
Eshaghi, Madjid; Mohseni, Samad; Delavar, Mohsen Rostamian; De la Sen Parte, Manuel ; Kim, Gwang Hui; Arian, Asma (Springer International Publishing, 2014-06-02)
; Kim, Gwang Hui; Arian, Asma (Springer International Publishing, 2014-06-02)
A new coupled fixed point theorem related to the Pata contraction for mappings having the mixed monotone property in partially ordered complete metric spaces is established. It is shown that the coupled fixed point can be ...
Hyers-Ulam-Rassias Stability of Functional Differential Systems with Point and Distributed Delays
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2015)
(Hindawi Publishing Corporation, 2015)
This paper investigates stability and asymptotic properties of the error with respect to its nominal version of a nonlinear time-varying perturbed functional differential system subject to point, finite-distributed, and ...
Robust speed control for a variable speed wind turbine
Barambones Caramazana, Oscar ; González de Durana García, José María; De la Sen Parte, Manuel (ICIC International, 2012-11)
; González de Durana García, José María; De la Sen Parte, Manuel (ICIC International, 2012-11)
Modern wind turbines are designed in order to work in variable speed opera-tions. To perform this task, these turbines are provided with adjustable speed generators, like the double feed induction generator (DFIG). One of ...
An observer-based vaccination control law for an SEIR epidemic model based on feedback linearization techniques for nonlinear systems
Alonso Quesada, Santiago ; De la Sen Parte, Manuel ; Agarwal, A.; Ibeas Hernández, Asier (Springer, 2012-09)
; De la Sen Parte, Manuel ; Agarwal, A.; Ibeas Hernández, Asier (Springer, 2012-09)
This paper presents a vaccination strategy for fighting against the propagation of epidemic diseases. The disease propagation is described by an SEIR (susceptible plus infected plus infectious plus removed populations) ...
Some Combined Relations between Contractive Mappings, Kannan Mappings, Reasonable Expansive Mappings, and T-Stability
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2009)
(Hindawi Publishing Corporation, 2009)
In recent literature concerning fixed point theory for self-mappings T : X -> X in metric spaces (X,d), there are some new concepts which can be mutually related so that the inherent properties of each one might be combined ...