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Asymptotic Comparison of the Solutions of Linear Time-Delay Systems with Point and Distributed Lags with Those of Their Limiting Equations
De la Sen Parte, Manuel 
(Hindawi Publishing Corporation, 2009)
(Hindawi Publishing Corporation, 2009)
This paper investigates the relations between the particular eigensolutions of a limiting functional differential equation of any order, which is the nominal (unperturbed) linear autonomous differential equations, and the ...
On the uniform exponential stability of linear time-delay systems
De la Sen Parte, Manuel ; Luo, Ningsu (Hindawi Publishing Corporation, 2004)
; Luo, Ningsu (Hindawi Publishing Corporation, 2004)
This paper deals with the global uniform exponential stability independent of delay of time-delay linear and time-invariant systems subject to point and distributed delays for the initial conditions being continuous real ...
Some Combined Relations between Contractive Mappings, Kannan Mappings, Reasonable Expansive Mappings, and T-Stability
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2009)
(Hindawi Publishing Corporation, 2009)
In recent literature concerning fixed point theory for self-mappings T : X -> X in metric spaces (X,d), there are some new concepts which can be mutually related so that the inherent properties of each one might be combined ...
Total Stability Properties Based on Fixed Point Theory for a Class of Hybrid Dynamic Systems
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2009)
(Hindawi Publishing Corporation, 2009)
Robust stability results for nominally linear hybrid systems are obtained from total stability theorems for purely continuous-time and discrete-time systems by using the powerful tool of fixed point theory. The class of ...
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 ...
About the properties of a modified generalized Beverton-Holt equation in ecology models
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2008)
(Hindawi Publishing Corporation, 2008)
This paper is devoted to the study of a generalized modified version of the well-known Beverton-Holt equation in ecology. The proposed model describes the population evolution of some species in a certain habitat driven ...
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 ...
On the Necessary and Sufficient Condition for a Set of Matrices to Commute and Some Further Linked Results
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2009)
(Hindawi Publishing Corporation, 2009)
This paper investigates the necessary and sufficient condition for a set of (real or complex) matrices to commute. It is proved that the commutator [A,B]=0 for two matrices A and B if and only if a vector v(B) defined ...