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On Some Sufficiency-Type Stability and Linear State-Feedback Stabilization Conditions for a Class of Multirate Discrete-Time Systems
De la Sen Parte, Manuel 
(MDPI, 2018-05)
(MDPI, 2018-05)
This paper presents and discusses the stability of a discrete multirate sampling system whose sets of sampling rates (or sampling periods) are the integer multiple of those operating on all the preceding substates. Each ...
Aspects and Some Results on Passivity and Positivity of Dynamic Systems
De la Sen Parte, Manuel (IOP Publishing, 2017)
(IOP Publishing, 2017)
This paper is devoted to discuss certain aspects of passivity results in dynamic systems and the characterization of the regenerative systems counterparts. In particular, the various concepts of passivity as standard ...
On Some Relations between Accretive, Positive, and Pseudocontractive Operators and Passivity Results in Hilbert Spaces and Nonlinear Dynamic Systems
De la Sen Parte, Manuel (Hindawi, 2017)
(Hindawi, 2017)
This paper investigates some parallel relations between the operators (I-G) and G in Hilbert spaces in such a way that the pseudocontractivity, asymptotic pseudocontractivity, and asymptotic pseudocontractivity in the ...
PPF-Dependent Fixed Point Results for New Multi-Valued Generalized F-Contraction in the Razumikhin Class with an Application
Hammad, Hasanen A; De la Sen Parte, Manuel (MDPI, 2019-01-07)
(MDPI, 2019-01-07)
In this paper, a new multi-valued generalized F-contraction mapping is given. Using it, the existence of PPF-dependent fixed point for such mappings in the Razumikhin class is obtained. Moreover, an application for nonlinear ...
On the Design of Hyperstable Feedback Controllers for a Class of Parameterized Nonlinearities. Two Application Examples for Controlling Epidemic Models
De la Sen Parte, Manuel (MDPI, 2019-08)
(MDPI, 2019-08)
This paper studies the hyperstability and the asymptotic hyperstability of a single-input single-output controlled dynamic system whose feed-forward input-output dynamics is nonlinear and eventually time-varying consisting ...
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 ; (Hindawi Publishing Corporation, 2013)
; Ibeas Hernández, Asier ; (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 ...
Coincidence and common fixed point theorems for Suzuki type hybrid contractions and applications
Singh, Shyam Lal; Kamal, Raj; De la Sen Parte, Manuel (Springer International Publishing, 2014-07-22)
(Springer International Publishing, 2014-07-22)
Coincidence and common fixed point theorems for a class of Suzuki hybrid contractions involving two pairs of single-valued and multivalued maps in a metric space are obtained. In addition, the existence of a common solution ...