BackSearch
Now showing items 1-7 of 7
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 ...
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 ...
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 ...
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 ...
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, ...