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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 ...
On the Characterization of Hankel and Toeplitz Operators Describing Switched Linear Dynamic Systems with Point Delays
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2009)
(Hindawi Publishing Corporation, 2009)
This paper investigates the causality properties of a class of linear time-delay systems under constant point delays which possess a finite set of distinct linear time-invariant parameterizations (or configurations) which, ...
About K-Positivity Properties of Time-Invariant Linear Systems Subject to Point Delays
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2007)
(Hindawi Publishing Corporation, 2007)
This paper discusses nonnegativity and positivity concepts and related properties for the state and output trajectory solutions of dynamic linear time-invariant systems described by functional differential equations subject ...
On the links between limit characteristic zeros and stability properties of linear time-invariant systems with point delays and their delay-free counterparts
De la Sen Parte, Manuel ; Jugo García, Josu (Hindawi Publishing Corporation, 2004)
; Jugo García, Josu (Hindawi Publishing Corporation, 2004)
We investigate the relationships between the infinitely many characteristic zeros (or modes) of linear systems subject to point delays and their delay-free counterparts based on algebraic results and theory of analytic ...
Suboptimal regulation of a class of bilinear interconnected systems with finite-time sliding planning horizons
De la Sen Parte, Manuel ; Garrido Hernández, Aitor Josu ; Soto Merino, Juan Carlos ; Barambones Caramazana, Oscar ; Garrido Hernández, Izaskun (Hindawi Publishing Corporation, 2008)
; Garrido Hernández, Aitor Josu ; Soto Merino, Juan Carlos ; Barambones Caramazana, Oscar ; Garrido Hernández, Izaskun (Hindawi Publishing Corporation, 2008)
This paper focuses on the suboptimization of a class of multivariable discrete-time bilinear systems consisting of interconnected bilinear subsystems with respect to a linear quadratic optimal regulation criterion which ...