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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 ...
Stability and assignment of spectrum in systems with discrete time lags
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2006)
(Hindawi Publishing Corporation, 2006)
The asymptotic stability with a prescribed degree of time delayed systems subject to multiple bounded discrete delays has received important attention in the last years. It is basically proved that the alpha-stability ...
Fractional hold circuits versus positive realness of discrete transfer functions
De la Sen Parte, Manuel ; Bilbao Guillerna, A. (Hindawi Publishing Corporation, 2005)
; Bilbao Guillerna, A. (Hindawi Publishing Corporation, 2005)
The appropriate use of fractional-order holds(beta-FROH) of correcting gains beta is an element of[- 1,1] as an alternative to the classical zero- and first-order holds(ZOHs, FOHs) is discussed related to the positive ...
Robustly stable multiestimation scheme for adaptive control and identification with model reduction issues
Bilbao Guillerna, A.; De la Sen Parte, Manuel ; Ibeas Hernández, Asier ; (Hindawi Publishing Corporation, 2005)
; Ibeas Hernández, Asier ; (Hindawi Publishing Corporation, 2005)
A discrete pole-placement-based and multiestimation-based adaptive control scheme involving a relative adaptation dead zone is presented for a plant with known poles and unknown zeros., The basic usefulness of the proposed ...
Adaptive control of time-invariant systems with discrete delays subject to multiestimation
De la Sen Parte, Manuel ; (Hindawi Publishing Corporation, 2006)
; (Hindawi Publishing Corporation, 2006)
This paper deals with a robustly stable adaptive pole-placement-based controller for time-delay linear systems with unknown point delays within known intervals of sufficiently small lengths under unmodeled dynamics and ...
Stabilization criteria for continuous linear time-invariant systems with constant lags
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2006)
(Hindawi Publishing Corporation, 2006)
Some criteria for asymptotic stability of linear and time-invariant systems with constant point delays are derived. Such criteria are concerned with the properties of robust stability related to two relevant auxiliary ...
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 ...
Model-matching-based control of the Beverton-Holt equation in Ecology
De la Sen Parte, Manuel ; (Hindawi Publishing Corporation, 2008)
; (Hindawi Publishing Corporation, 2008)
Beverton-Holt equation of Ecology has a prescribed solution. The way used to achieve the tracking objective is the design of a carrying capacity through a feedback law so that the prescribed reference sequence, which defines ...