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Duality And Decomposition For Extended Linear-Quadratic Stochastic Control Problems In Discrete Time  (Make Corrections)  
Lisa A. Korf Department of Mathematics University of California, Davis



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Abstract: . New dual problems emphasizing decomposability are established for a general class of stochastic dynamic optimization problems, with piecewise linearquadratic objective function. Optimality conditions are derived which emphasize decomposition. The dual dynamics are conditioned on the available system state information, and this leads to a symmetry that is well-suited to computational methods such as operator splitting. Keywords: linear-quadratic programming, conditional expectation, optimal... (Update)

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BibTeX entry:   (Update)

@misc{ korf-duality,
  author = "Lisa Korf",
  title = "Duality And Decomposition For Extended Linear-Quadratic Stochastic Control
    Problems In Discrete Time",
  url = "citeseer.ist.psu.edu/104577.html" }
Citations (may not include all citations):
291   Markov Decision Processes: Discrete Stochastic Dynamic Progr.. (context) - Puterman - 1994
230   Dynamic Programming: deterministic and stochastic models (context) - Bertsekas - 1987  ACM
110   Variational Analysis (context) - Rockafellar, Wets - 1997
44   Optimum Consumption and Portfolio Rules in a Continuous-Time.. (context) - Merton - 1971
19   Generalized linear-quadratic problems of deterministic and s.. (context) - Rockafellar, Wets - 1990  ACM
5   Approximation and Solution Schemes for Stochastic Dynamic Op.. (context) - Korf - 1998
4   Duality in stochastic programming (context) - Rockafellar - 1998
4   A Splitting Algorithm for Multistage Stochastic Programming .. (context) - Salinger - 1997  ACM
2   An Optimal Investment/Consumption Model with Borrowing (context) - Fleming, Zariphopoulou - 1991
2   Stochastic dynamic optimization, approaches and computation (context) - Varaiya, Wets - 1989
1   Generalized linear-quadratic programming and optimal control (context) - Rockafellar - 1987

Documents on the same site (http://math.ucdavis.edu/~korf/abstracts.html):   More
An Ergodic Theorem for Stochastic Programming Problems - Korf, Wets (1999)   (Correct)
Random LSC Functions: Scalarization - Korf, Wets (1999)   (Correct)
An Approximation Framework for Infinite Horizon Optimization.. - Korf   (Correct)

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