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On minimal realizations and minimal partial realizations of linear time-invariant systems subject to point incommensurate delays
De la Sen Parte, Manuel 
(Hindawi Publishing Corporation, 2008)
(Hindawi Publishing Corporation, 2008)
This paper investigates key aspects of realization and partial realization theories for linear time-invariant systems being subject to a set of incommensurate internal and external point delays. The results are obtained ...
Adaptive stabilization of continuous-time systems through a controllable modified estimation model
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2004)
(Hindawi Publishing Corporation, 2004)
This paper presents an indirect adaptive control scheme of continuous-time systems. The estimated plant model is controllable and then the adaptive scheme is free from singularities. Such singularities are avoided through ...
On pole-placement controllers for linear time-delay systems with commensurate point delays
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2005)
(Hindawi Publishing Corporation, 2005)
We investigate the exact and approximate spectrum assignment properties associated with realizable output-feedback pole-placement-type controllers for single-input single-output linear time-invariant time-delay systems ...
Oscillatory behavior in linear difference equations under unmodeled dynamics and parametrical errors
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2007)
(Hindawi Publishing Corporation, 2007)
This paper investigates the presence of oscillating solutions in time-varying difference equations even in the case when there exist parametrical errors (i.e., errors in the sequences defining their coefficients) and/or ...
On the Existence of Equilibrium Points, Boundedness, Oscillating Behavior and Positivity of a SVEIRS Epidemic Model under Constant and Impulsive Vaccination
De la Sen Parte, Manuel ; Ravi, P.; Agarwal, A.; Ibeas Hernández, Asier ; (Hindawi Publishing Corporation, 2011)
; Ravi, P.; Agarwal, A.; Ibeas Hernández, Asier ; (Hindawi Publishing Corporation, 2011)
This paper discusses the disease-free and endemic equilibrium points of a SVEIRS propagation disease model which potentially involves a regular constant vaccination. The positivity of such a model is also discussed as well ...
Positivity and Stability of the Solutions of Caputo Fractional Linear Time-Invariant Systems of Any Order with Internal Point Delays
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2011)
(Hindawi Publishing Corporation, 2011)
This paper is devoted to the investigation of the nonnegative solutions and the stability and asymptotic properties of the solutions of fractional differential dynamic systems involving delayed dynamics with point delays. ...
Stable Iteration Procedures in Metric Spaces which Generalize a Picard-Type Iteration
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2010)
(Hindawi Publishing Corporation, 2010)
This paper investigates the stability of iteration procedures defined by continuous functions acting on self-maps in continuous metric spaces. Some of the obtained results extend the contraction principle to the use of ...
About Robust Stability of Caputo Linear Fractional Dynamic Systems with Time Delays through Fixed Point Theory
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2011)
(Hindawi Publishing Corporation, 2011)
This paper investigates the global stability and the global asymptotic stability independent of the sizes of the delays of linear time-varying Caputo fractional dynamic systems of real fractional order possessing internal ...
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 ...