M
Manuel De la Sen
Researcher at University of the Basque Country
Publications - 306
Citations - 2249
Manuel De la Sen is an academic researcher from University of the Basque Country. The author has contributed to research in topics: Fixed point & Metric space. The author has an hindex of 18, co-authored 306 publications receiving 1514 citations. Previous affiliations of Manuel De la Sen include Shahrekord University & Siirt University.
Papers
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Second-order counterexamples to the discrete-time Kalman conjecture
TL;DR: A class of second-order discrete-time systems for which the Kalman conjecture is true provided the nonlinearity is odd, but false in general is discussed, which has strong implications for the analysis of saturated systems.
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Robust stabilization of a class of uncertain time delay systems in sliding mode
TL;DR: Methods for the design of sliding mode controllers based on state feedback, static output feedback and dynamic output feedback, respectively, are proposed and sufficient conditions for the asymptotic stability and robustness of the closed–loop systems are given.
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Hybrid Ćirić Type Graphic Υ,Λ-Contraction Mappings with Applications to Electric Circuit and Fractional Differential Equations
TL;DR: The notion of Ciric type rational graphic Υ, Λ -contraction pair mappings is initiated and some new related common fixed point results on partial b-metric spaces endowed with a directed graph G are provided.
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A Novel Homotopy Perturbation Method with Applications to Nonlinear Fractional Order KdV and Burger Equation with Exponential-Decay Kernel
TL;DR: Yang transform homotopy perturbation method (YTHPM) as mentioned in this paper is a novel method which is based on the Yang transform of Caputo-Fabrizio fractional order derivatives.
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Exponential stability of simultaneously triangularizable switched systems with explicit calculation of a common Lyapunov function
Asier Ibeas,Manuel De la Sen +1 more
TL;DR: In this note, a common quadratic Lyapunov function is explicitly calculated for a linear hybrid system described by a family of simultaneously triangularizable matrices, obtaining an estimate of the convergence rate of the exponential stability of the switched system under arbitrary switching and calculating an upper bound for the output during its transient response.