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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 ...
Observer-Based Vaccination Strategy for a True Mass Action SEIR Epidemic Model with Potential Estimation of All the Populations
De la Sen Parte, Manuel ; Ibeas Hernández, Asier ; (Hindawi Publishing Corporation, 2011)
; Ibeas Hernández, Asier ; (Hindawi Publishing Corporation, 2011)
This paper presents a simple continuous-time linear vaccination-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The model takes into account ...
On the Extensions of Krasnoselskii-Type Theorems to p-Cyclic Self-Mappings in Banach Spaces
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2011)
(Hindawi Publishing Corporation, 2011)
A set of np(>= 2)-cyclic and either continuous or contractive self-mappings, with at least one of them being contractive, which are defined on a set of subsets of a Banach space, are considered to build a composed self-mapping ...
Robust Adaptive Stabilization of Linear Time-Invariant Dynamic Systems by Using Fractional-Order Holds and Multirate Sampling Controls
De la Sen Parte, Manuel ; (Hindawi Publishing Corporation, 2010-02)
; (Hindawi Publishing Corporation, 2010-02)
This paper presents a strategy for designing a robust discrete-time adaptive controller for stabilizing linear time-invariant (LTI) continuous-time dynamic systems. Such systems may be unstable and noninversely stable in ...
On Chebyshev's Systems and Non-Uniform Sampling Related to Caputo Fractional Dynamic Time-Invariant Systems
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2010)
(Hindawi Publishing Corporation, 2010)
This paper is concerned with the investigation of the controllability and observability of Caputo fractional differential linear systems of any real order α. Expressions for the expansions of the evolution operators in ...
About the Stabilization of a Nonlinear Perturbed Difference Equation
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2012)
(Hindawi Publishing Corporation, 2012)
This paper investigates the local asymptotic stabilization of a very general class of instable autonomous nonlinear difference equations which are subject to perturbed dynamics which can have a different order than that ...
Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces
Abbas, Mujahid; De la Sen Parte, Manuel ; Nazir, Talat (Hindawi Publishing Corporation, 2015)
; Nazir, Talat (Hindawi Publishing Corporation, 2015)
The aim of this paper is to present fixed point result of mappings satisfying a generalized rational contractive condition in the setup of multiplicative metric spaces. As an application, we obtain a common fixed point of ...
On Weak Contractive Cyclic Maps in Generalized Metric Spaces and Some Related Results on Best Proximity Points and Fixed Points
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2016)
(Hindawi Publishing Corporation, 2016)
This paper discusses the properties of convergence of sequences to limit cycles defined by best proximity points of adjacent subsets for two kinds of weak contractive cyclic maps defined by composite maps built with ...
On the Stability and Equilibrium Points of Multistaged SI (n) R Epidemic Models
Nistal Riobello, Raúl ; De la Sen Parte, Manuel ; ; Ibeas Hernández, Asier ; Garrido Hernández, Aitor Josu (Hindawi Publishing, 2015)
; De la Sen Parte, Manuel ; ; Ibeas Hernández, Asier ; Garrido Hernández, Aitor Josu (Hindawi Publishing, 2015)
This paper relies on the concept of next generation matrix defined ad hoc for a new proposed extended SEIR model referred to as SI(n)R-model to study its stability. The model includes n successive stages of infectious ...
On a New Epidemic Model with Asymptomatic and Dead-Infective Subpopulations with Feedback Controls Useful for Ebola Disease
De la Sen Parte, Manuel ; Ibeas Hernández, Asier ; ; Nistal Riobello, Raúl (Hindawi Publishing Corporation, 2017-02-19)
; Ibeas Hernández, Asier ; ; Nistal Riobello, Raúl (Hindawi Publishing Corporation, 2017-02-19)
This paper studies the nonnegativity and local and global stability properties of the solutions of a newly proposed SEIADR model which incorporates asymptomatic and dead-infective subpopulations into the standard SEIR model ...