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A Numerical Approximation Framework for the Stochastic Linear Quadratic Regulator on Hilbert Spaces
ArticleAbstract: We present an approximation framework for computing the solution of the stochastic linear quadraticPalabras claves:Approximation schemes, feedback control, Riccati equations, Stochastic linear quadratic regulator problemsAutores:Hermann Mena, Levajkovic T., Tuffaha A.Fuentes:scopusA splitting/polynomial chaos expansion approach for stochastic evolution equations
ArticleAbstract: In this paper, we combine deterministic splitting methods with a polynomial chaos expansion method fPalabras claves:Analytic semigroups, Fourier–Legendre polynomials, Polynomial chaos expansion, Resolvent splitting, splitting methods, Wiener–Legendre expansionAutores:Hermann Mena, Kofler A., Levajkovic T., Ostermann A.Fuentes:scopusApplications and Numerical Approximation
Book PartAbstract: In this chapter we present applications of the chaos expansion method in optimal control and stochasPalabras claves:Autores:Hermann Mena, Levajkovic T.Fuentes:scopusGeneralized Operators of Malliavin Calculus
Book PartAbstract: In this chapter we extend Malliavin calculus from the classical finite variance setting to generalizPalabras claves:Autores:Hermann Mena, Levajkovic T.Fuentes:scopusEquations Involving Mallivin Calculus Operators
Book PartAbstract: This chapter is devoted to the study of several classes of stochastic equations involving generalizePalabras claves:Autores:Hermann Mena, Levajkovic T.Fuentes:scopusEquations involving malliavin derivative: A chaos expansion approach
Book PartAbstract: We study equations involving the Malliavin derivative operator and the Wick product with a GaussianPalabras claves:Chaos expansion, Galerkin method, Generalized stochastic process, Malliavin derivative, Stochastic differential equation, Wick productAutores:Hermann Mena, Levajkovic T.Fuentes:scopusSolving stochastic LQR problems by polynomial chaos
ArticleAbstract: We consider the infinite dimensional stochastic linear quadratic optimal control problem for the infPalabras claves:computational methods, Stochastic optimal controlAutores:Hermann Mena, Lena Maria Pfurtscheller, Levajkovic T.Fuentes:scopusThe stochastic LQR optimal control with fractional Brownian motion
Book PartAbstract: We consider the stochastic linear quadratic optimal control problem where the state equation is givePalabras claves:Autores:Hermann Mena, Levajkovic T., Tuffaha A.Fuentes:scopusThe stochastic linear quadratic control problem with singular estimates
ArticleAbstract: We study an infinite dimensional finite horizon stochastic linear quadratic control problem in an abPalabras claves:Control of stochastic PDEs, Singular estimate control systems, Stochastic linear quadratic controlAutores:Hafizoglu C., Hermann Mena, Lasiecka I., Levajkovic T., Tuffaha A.Fuentes:scopusThe stochastic linear quadratic optimal control problem in hilbert spaces: A polynomial chaos approach
ArticleAbstract: We consider the stochastic linear quadratic optimal control problem for state equations of the Itô-SPalabras claves:Itô-Skorokhod integral, Polynomial chaos expansion method, Riccati equations, Stochastic linear quadratic optimal control problem, White noise analysisAutores:Hermann Mena, Levajkovic T., Tuffaha A.Fuentes:scopus