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Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint
De la Sen Parte, Manuel 
; Ibeas Hernández, Asier ; Alonso Quesada, Santiago (Hindawi Publishing Corporation, 2013)
; Ibeas Hernández, Asier ; Alonso Quesada, Santiago (Hindawi Publishing Corporation, 2013)
This paper is focused on the study of the important property of the asymptotic hyperstability of a class of continuous-time dynamic systems. The presence of a parallel connection of a strictly stable subsystem to an ...
Best Proximity Points of Generalized Semicyclic Impulsive Self-Mappings: Applications to Impulsive Differential and Difference Equations
De la Sen Parte, Manuel ; Karapinar, E. (Hindawi Publishing Corporation, 2013)
; Karapinar, E. (Hindawi Publishing Corporation, 2013)
This paper is devoted to the study of convergence properties of distances between points and the existence and uniqueness of best proximity and fixed points of the so-called semicyclic impulsive self-mappings on the union ...
Properties of convergence of a class of iterative processes generated by sequences of self-mappings with applications to switched dynamic systems
De la Sen Parte, Manuel ; Ibeas Hernández, Asier (Springer International Publishing, 2014-12-15)
; Ibeas Hernández, Asier (Springer International Publishing, 2014-12-15)
This article investigates the convergence properties of iterative processes involving sequences of self-mappings of metric or Banach spaces. Such sequences are built from a set of primary self-mappings which are either ...
A New Type of Coincidence and Common Fixed Point Theorem with Applications
Singh, Shyam Lal; Kamal, Raj; De la Sen Parte, Manuel ; Chugh, Renu (Hindawi Publishing, 2014)
; Chugh, Renu (Hindawi Publishing, 2014)
Coincidence and common fixed point theorems for a class of 'Ciric-Suzuki hybrid contractions involving a multivalued and two single-valued maps in a metric space are obtained. Some applications including the existence of ...
Convergence Properties and Fixed Points of Two General Iterative Schemes with Composed Maps in Banach Spaces with Applications to Guaranteed Global Stability
De la Sen Parte, Manuel ; Ibeas Hernández, Asier (Hindawi Publishing, 2014)
; Ibeas Hernández, Asier (Hindawi Publishing, 2014)
This paper investigates the boundedness and convergence properties of two general iterative processes which involve sequences of self-mappings on either complete metric or Banach spaces. The sequences of self-mappings ...
On Nonnegative Solutions of Fractional q-Linear Time-Varying Dynamic Systems with Delayed Dynamics
De la Sen Parte, Manuel (Hindawi Publishing, 2014)
(Hindawi Publishing, 2014)
This paper is devoted to the investigation of nonnegative solutions and the stability and asymptotic properties of the solutions of fractional differential dynamic linear time-varying systems involving delayed dynamics ...
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 ...
On Best Proximity Point Theorems and Fixed Point Theorems for p-Cyclic Hybrid Self-Mappings in Banach Spaces
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2013)
(Hindawi Publishing Corporation, 2013)
This paper relies on the study of fixed points and best proximity points of a class of so-called generalized point-dependent (K-Lambda)hybrid p-cyclic self-mappings relative to a Bregman distance Df, associated with a ...
On Bounded Strictly Positive Operators of Closed Range and Some Applications to Asymptotic Hyperstability of Dynamic Systems
De la Sen Parte, Manuel (Hindawi, 2013)
(Hindawi, 2013)
The problem discussed is the stability of two input-output feedforward and feedback relations, under an integral-type constraint defining an admissible class of feedback controllers. Sufficiency-type conditions are given ...