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Characterization of extremal controls for infinite dimensional time-varying systems
ArticleAbstract: In this paper we prove some properties of attainable sets for time-varying infinite dimensional linePalabras claves:Attainable sets, Extremal control, Normal system, Time optimal controlAutores:Barcenas D., Hugo LeivaFuentes:googlescopusA 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:googlescopusA necessary and sufficient algebraic condition for the controllability of a thermoelastic plate equation
ArticleAbstract: An overview is given of a necessary and sufficient algebraic condition for the approximate controllaPalabras claves:Algebraic condition, Approximate controllability, Thermoelastic plate equationAutores:Hugo LeivaFuentes:googlescopusA necessary and sufficient condition for the controllability of linear systems in Hilbert spaces and applications
ArticleAbstract: As we have announced in the title of this work, we show that a broad class of linear evolution equatPalabras claves:damped wave equation, exact controllability, Linear evolution equationsAutores:Hugo Leiva, Iturriaga E.Fuentes:googlescopusTwo definitions of exponential dichotomy for skew-product semiflow in banach spaces
ArticleAbstract: In this paper we introduce a concept of exponential dichotomy for linear skew-product semiflows (LSPPalabras claves:Exponential dichotomy, Skew-product semiflow, Stable and unstable manifoldsAutores:Chow S.N., Hugo LeivaFuentes:googlescopusSkew-product semi-flows and non-autonomous control systems
ArticleAbstract: In this paper we give a necessary and sufficient conditions for exact and approximate controllabilitPalabras claves:controllability, Non-autonomous equation, Skew product semi-flowsAutores:Barcenas D., Chow S.N., Hugo Leiva, Tineo Moya A.Fuentes: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:googlescopus