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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 ...
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 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 ...
On the Global Asymptotic Stability of Switched Linear Time-Varying Systems with Constant Point Delays
De la Sen Parte, Manuel ; Ibeas Hernández, Asier (Hindawi Publishing Corporation, 2008)
; Ibeas Hernández, Asier (Hindawi Publishing Corporation, 2008)
This paper investigates the asymptotic stability of switched linear time-varying systems with constant point delays under not very stringent conditions on the matrix functions of parameters. Such conditions are their ...
Stability Results of a Class of Hybrid Systems under Switched Continuous-Time and Discrete-Time Control
De la Sen Parte, Manuel ; Ibeas Hernández, Asier (Hindawi Publishing Corporation, 2009)
; Ibeas Hernández, Asier (Hindawi Publishing Corporation, 2009)
This paper investigates the stability properties of a class of switched systems possessing several linear time-invariant parameterizations (or configurations) which are governed by a switching law. It is assumed that the ...
About the stability and positivity of a class of discrete nonlinear systems of difference equations
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2008)
(Hindawi Publishing Corporation, 2008)
This paper investigates stability conditions and positivity of the solutions of a coupled set of nonlinear difference equations under very generic conditions of the nonlinear real functions which are assumed to be bounded ...
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 ...
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 ...
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 ...