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scopus(9)
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: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:scopusNumerical solution of the finite horizon stochastic linear quadratic control problem
ArticleAbstract: The treatment of the stochastic linear quadratic optimal control problem with finite time horizon rePalabras claves:BDF methods, Rosenbrock methods, splitting methods, stochastic LQR problem, stochastic Riccati equationsAutores:Damm T., Hermann Mena, Stillfjord T.Fuentes:scopusOn deterministic and stochastic linear quadratic control problems
Conference ObjectAbstract: The numerical treatment of linear quadratic regulator (LQR), linear quadratic Gaussian (LQG) designPalabras claves:LQG, LQR, RDEs, SRDEs, Stochastic ControlAutores:Hermann Mena, Levajkovic T.Fuentes:scopusLÉvy processes, subordinators and crime modelling
ArticleAbstract: We investigate some properties of Lévy processes in the context of subordinators. Lévy walks can bePalabras claves:Crime modelling, First passage time, Lévy flight, Lévy processes, Random walks, SubordinatorsAutores:Hermann Mena, Levajkovic T., Zarfl M.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 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