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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 ...
Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamics
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2005)
(Hindawi Publishing Corporation, 2005)
This paper deals with the problem of synthesizing a robust adaptive controller for a specific class of single-input single-output (SISO) time-invariant hybrid controlled object (plant) which can operate under bounded ...
Stability Results for Switched Linear Systems with Constant Discrete Delays
De la Sen Parte, Manuel ; Ibeas Hernández, Asier (Hindawi Publishing Corporation, 2008)
; Ibeas Hernández, Asier (Hindawi Publishing Corporation, 2008)
This paper investigates the stability properties of switched systems possessing several parameterizations (or configurations) while being subject to internal constant point delays. Some of the stability results are formulated ...
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 Robust Stability of Dynamic Systems with Time Delays through Fixed Point Theory
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2008)
(Hindawi Publishing Corporation, 2008)
This paper investigates the global asymptotic stability independent of the sizes of the delays of linear time-varying systems with internal point delays which possess a limiting equation via fixed point theory. The error ...
On the properties of reachability, observability, controllability, and constructibility of discrete-time positive time-invariant linear systems with aperiodic choice of the sampling instants
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2007)
(Hindawi Publishing Corporation, 2007)
This paper investigates the properties of reachability, observability, controllability, and constructibility of positive discrete-time linear time-invariant dynamic systems when the sampling instants are chosen aperiodically. ...
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 ...
Stability and Convergence Results Based on Fixed Point Theory for a Generalized Viscosity Iterative Scheme
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2009)
(Hindawi Publishing Corporation, 2009)
A generalization of Halpern's iteration is investigated on a compact convex subset of a smooth Banach space. The modified iteration process consists of a combination of a viscosity term, an external sequence, and a continuous ...