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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 ...
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 ...
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 ...
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 ...