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A Necessary Algebraic Condition for Controllability and Observability of Linear Time-Varying Systems
ArticleAbstract: In this note, we give an algebraic condition which is necessary for the system x′(t) = A(t)x(t) + B(Palabras claves:Algebraic condition, Linear time-varying control systems, Noncontrollability, NonobservabilityAutores:Hugo Leiva, Siegmund S.Fuentes:googlescopusA characterization of semilinear dense range operators and applications
ArticleAbstract: We characterize a broad class of semilinear dense range operators G <inf>H</inf>: W → Z given by thePalabras claves:Autores:Hugo Leiva, Merentes N., Sanchez J.L.Fuentes:googlescopusA lemma on C0-semigroups and applications
ArticleAbstract: In this note we characterize a large class of C<inf>0</inf>-semigroups which can be applied to provePalabras claves:C -semigroup 0, C0-semigroup, Existence of solutions, Systems of partial differential equationsAutores:Hugo LeivaFuentes:googlescopusSolutions of Hammerstein equations in the space BV (Ib a)
ArticleAbstract: where a = (a<inf>1</inf>, a<inf>2</inf>), b = (b<inf>1</inf>, b<inf>2</inf>) ∈ ℝ<sup>2</sup>, (FigurPalabras claves:Banach spaces, bounded variation, Hammerstein integral equationAutores:Aziz W., Hugo Leiva, Merentes N.Fuentes:googlescopusSolvability of semilinear equations in hilbert spaces
ArticleAbstract: In this paper, we study the existence of solutions for a broad class of semilinear equations in HilbPalabras claves:Approximate controllability, Hilbert space, Semilinear equation, Semilinear evolution equation, strongly continuous semigroupAutores:Hugo LeivaFuentes:googlescopusA lemma on C0-semigroups on time scales and approximate controllability of the heat dynamic equation
ArticleAbstract: In this paper, we present a lemma that allows us to characterize a broad class of C<inf>0</inf>-semiPalabras claves:C0-semigroups, controllability, heat equation, infinitesimal generator, Time scalesAutores:Duque C., Hugo Leiva, Martin Bohner, Zoraida SívoliFuentes:scopusOn the Existence and Stability of Bounded Solutions for Abstract Dynamic Equations on Time Scales
ArticleAbstract: In this article we study the existence and stability of bounded solutions for semilinear abstract dyPalabras claves:Autores:Duque C., Hugo Leiva, Rodolfo Gallo, Tridane A.Fuentes:scopusCONTROLLABILITY OF A SEMILINEAR NEUTRAL DYNAMIC EQUATION ON TIME SCALES WITH IMPULSES AND NONLOCAL CONDITIONS
ArticleAbstract: In this paper we consider a control system governed by a neutral differential equation on time scalePalabras claves:controllability, impulses, Nonlocal conditions, semilinear neutral dynamic equation, Time scalesAutores:Duque C., Hugo LeivaFuentes:scopusControllability of linear time varying systems: new algebraic criteria
Conference ObjectAbstract: This paper presents algebraic rank conditions for the complete controllability of the system. x(t)=Palabras claves:Autores:Hugo Leiva, Lehman B.Fuentes:googlescopusControllability of semilinear impulsive nonautonomous systems
ArticleAbstract: In this paper we apply Rothes type fixed-point theorem to prove the controllability of the followingPalabras claves:controllability, nonlinear impulsive nonautonomous systems, Rothe's fixed point theoremAutores:Hugo LeivaFuentes:googlescopus