A numerical approximation framework for the stochastic linear quadratic regulator on Hilbert spaces
From MaRDI portal
Publication:2013932
DOI10.1007/s00245-016-9339-3zbMath1371.49015OpenAlexW2344818275MaRDI QIDQ2013932
Tijana Levajković, Amjad M. Tuffaha, Hermann Mena
Publication date: 10 August 2017
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-016-9339-3
Riccati equationsfeedback controlapproximation schemesstochastic linear quadratic regulator problems
Optimal stochastic control (93E20) Linear-quadratic optimal control problems (49N10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stochastic integral equations (60H20) Existence of optimal solutions to problems involving randomness (49J55)
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Cites Work
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- The stochastic linear quadratic optimal control problem in Hilbert spaces: a polynomial chaos approach
- Representation and control of infinite dimensional systems. Volume I
- Direct solution of a Riccati equation arising in stochastic control theory
- Backward stochastic Riccati equations and infinite horizon L-Q optimal control with infinite dimensional state space and random coefficients
- Direct solution of a Riccati equation arising in a stochastic control problem with control and observation on the boundary
- Solving matrix equations on multi-core and many-core architectures
- Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations
- Global adapted solution of one-dimensional backward stochastic Riccati equations, with application to the mean-variance hedging.
- On the benefits of the \(L D L^T\) factorization for large-scale differential matrix equation solvers
- Riccati theory and singular estimates for a Bolza control problem arising in linearized fluid-structure interaction
- Stochastic evolution equations with multiplicative noise
- Differential Riccati equation for the active control of a problem in structural acoustics
- Fast Solution of Optimal Control Problems in the Selective Cooling of Steel
- On Deterministic and Stochastic Linear Quadratic Control Problems
- The Stochastic Linear Quadratic Control Problem with Singular Estimates
- The Linear Regulator Problem for Parabolic Systems
- Dynamic Programming Approach to Stochastic Evolution Equations
- Convergence Rates for the Feedback Operators Arising in the Linear Quadratic Regulator Problem Governed by Parabolic Equations
- Linear Quadratic Optimal Stochastic Control with Random Coefficients
- The Riccati Integral Equations for Optimal Control Problems on Hilbert Spaces
- Multidimensional Backward Stochastic Riccati Equations and Applications
- Relationship Between Backward Stochastic Differential Equations and Stochastic Controls: A Linear-Quadratic Approach
- On the Backward Stochastic Riccati Equation in Infinite Dimensions
- Rosenbrock Methods for Solving Riccati Differential Equations
- Mathematical Methods in Robust Control of Linear Stochastic Systems
- On the Separation Theorem of Stochastic Control
- On a Matrix Riccati Equation of Stochastic Control
- Stochastic Equations in Infinite Dimensions