Results 41 to 50 of about 230,932 (286)
Mean-Field Stochastic Linear Quadratic Optimal Control Problems: Closed-Loop Solvability
, 2016 An optimal control problem is studied for a linear mean-field stochastic differential equation with a quadratic cost functional. The coefficients and the weighting matrices in the cost functional are all assumed to be deterministic.
Li, Xun, Sun, Jingrui, Yong, Jiongmin
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Discrete time mean-field stochastic linear-quadratic optimal control problems [PDF]
Automatica, 2013 This paper first presents necessary and sufficient conditions for the solvability of discrete time, mean-field, stochastic linear-quadratic optimal control problems. Then, by introducing several sequences of bounded linear operators, the problem becomes an operator stochastic LQ problem, in which the optimal control is a linear state feedback ...
Elliott, Rhys Robert +2 more
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On the linear quadratic data-driven control [PDF]
, 2007 The classical approach for solving control problems is model based: first a model representation is derived from given data of the plant and then a control law is synthesized using the model and the control specifications.
Markovsky, Ivan, Rapisarda, Paolo
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Stochastic HJB Equations and Regular Singular Points [PDF]
, 2018 IIn this paper we show that some HJB equations arising from both finite and infinite horizon stochastic optimal control problems have a regular singular point at the origin. This makes them amenable to solution by power series techniques.
Krener, Arthur J.
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Linear Quadratic Stochastic Optimal Control Problems with Operator Coefficients: Open-Loop Solutions
, 2019 An optimal control problem is considered for linear stochastic differential equations with quadratic cost functional. The coefficients of the state equation and the weights in the cost functional are bounded operators on the spaces of square integrable ...
Wei, Qingmeng +2 more
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Milyutin's Theorem in Linear-Quadratic Optimal Control Problems
Differential Equations, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Characterization of optimal feedback for stochastic linear quadratic control problems [PDF]
Probability, Uncertainty and Quantitative Risk, 2017 One of the fundamental issues in Control Theory is to design feedback controls. It is well-known that, the purpose of introducing Riccati equations in the deterministic case is to provide the desired feedback controls for linear quadratic control problems. To date, the same problem in the stochastic setting is only partially well-understood.
Lü, Qi, Wang, Tianxiao, Zhang, Xu
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Bayesian Estimation Improves Prediction of Outcomes After Epilepsy Surgery
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT We estimated the statistical power of studies predicting seizure freedom after epilepsy surgery. We extracted data from a Cochrane meta‐analysis. The median power across all studies was 14%. Studies with a median sample size or less (n ≤ 56) and a statistically significant result exaggerated the true effect size by a factor of 5.4, while the ...
Adam S. Dickey +4 more
wiley +1 more source
Interpreting the dual Riccati equation through the LQ reproducing kernel
Comptes Rendus. Mathématique, 2021 In this study, we provide an interpretation of the dual differential Riccati equation of Linear-Quadratic (LQ) optimal control problems. Adopting a novel viewpoint, we show that LQ optimal control can be seen as a regression problem over the space of ...
Aubin-Frankowski, Pierre-Cyril
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source