The stochastic linear quadratic optimal control problem on Hilbert spaces: the case of non-analytic systems
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Publication:6043154
DOI10.1007/s00245-023-09969-1zbMath1512.49032OpenAlexW4362699734MaRDI QIDQ6043154
Publication date: 4 May 2023
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-023-09969-1
algebraic Riccati equationsinfinite dimensional control systemsstochastic linear quadratic optimal control
Linear-quadratic optimal control problems (49N10) Existence theories for problems in abstract spaces (49J27) Existence of optimal solutions to problems involving randomness (49J55)
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Cites Work
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- Some linear-quadratic stochastic differential games for equations in Hilbert spaces with fractional Brownian motions
- Optimal control for infinite dimensional stochastic differential equations with infinite Markov jumps and multiplicative noise
- Direct solution of a Riccati equation arising in stochastic control theory
- Second order parabolic Hamilton-Jacobi-Bellman equations in Hilbert spaces and stochastic control: \(L^{2}_{\mu}\) approach
- Backward stochastic Riccati equations and infinite horizon L-Q optimal control with infinite dimensional state space and random coefficients
- Min-max game theory and non-standard differential Riccati equations under the singular estimate for \(e^{At}B\) and \(e^{At}G\) in the absence of analyticity
- Direct solution of a Riccati equation arising in a stochastic control problem with control and observation on the boundary
- An example in linear quadratic optimal control
- Stochastic optimization theory in Hilbert spaces. I
- Classical solutions of nonautonomous Riccati equations arising in parabolic boundary control problems
- Representation and control of infinite dimensional systems. Vol. 2
- Extended algebraic Riccati equations in the abstract hyperbolic case
- Stochastic maximum principle for optimal control of partial differential equations driven by white noise
- Maximum principle for an optimal control problem associated to a SPDE with nonlinear boundary conditions
- Well-posedness of stochastic Riccati equations and closed-loop solvability for stochastic linear quadratic optimal control problems
- The exponential stability of a coupled hyperbolic/parabolic system arising in structural acoustics
- A numerical approximation framework for the stochastic linear quadratic regulator on Hilbert spaces
- Improved boundary regularity for a Stokes-Lamé system
- On the infinitesimal generator of an optimal state semigroup
- Stochastic maximum principle for SPDEs with delay
- Riccati theory and singular estimates for a Bolza control problem arising in linearized fluid-structure interaction
- Riccati equations for the Bolza problem arising in boundary/point control problems governed by \(C_{0}\) semigroups satisfying a singular estimate
- Optimal boundary control and Riccati theory for abstract dynamics motivated by hybrid systems of PDEs
- Extending a theorem of A. M. Liapunov to Hilbert space
- Differential Riccati equation for the active control of a problem in structural acoustics
- Mathematical Control Theory of Coupled PDEs
- A Theory of the Infinite Horizon LQ-Problem for Composite Systems of PDEs with Boundary Control
- Riccati equations for generalized singular estimate control systems
- On the Existence of Optimal Controls for SPDEs with Boundary Noise and Boundary Control
- Linear-quadratic Control for Stochastic Equations in a Hilbert Space with Fractional Brownian Motions
- The Stochastic Linear Quadratic Control Problem with Singular Estimates
- Quadratic Control for Linear Time-Varying Systems
- INFINITE HORIZON OPTIMAL CONTROL PROBLEMS OF BACKWARD STOCHASTIC DELAY DIFFERENTIAL EQUATIONS IN HILBERT SPACES
- Dynamic Programming Approach to Stochastic Evolution Equations
- Some Remarks on the Riccati Equation Arising in an Optimal Control Problem with State- and Control-Dependent Noise
- A semigroup approach to the LQG problem for infinite-dimensional systems
- A direct approach to linear-quadratic stochastic control
- Linear-quadratic optimal control under non-Markovian switching
- Stochastic Stability of Differential Equations in Abstract Spaces
- Algebraic Riccati Equation Arising in Boundary Control Problems
- The modeling of piezoceramic patch interactions with shells, plates, and beams
- Second Order Hamilton--Jacobi Equations in Hilbert Spaces and Stochastic Boundary Control
- Backward SDEs and infinite horizon stochastic optimal control
- Time-Inconsistent Linear Quadratic Optimal Control Problems for Stochastic Evolution Equations
- On the Backward Stochastic Riccati Equation in Infinite Dimensions
- On the Separation Theorem of Stochastic Control
- On a Matrix Riccati Equation of Stochastic Control
- Stochastic Equations in Infinite Dimensions
- Uniqueness for Riccati equations with application to the optimal boundary control of composite systems of evolutionary partial differential equations
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