000 03249nam a2200385 i 4500
001 63456
008 180515s2018 sz a b 001 0 eng d
020 _a9783319790336
_q(electronic bk.)
020 _a3319790331
_q(electronic bk.)
020 _z9783319790329
_q(print)
020 _z3319790323
_q(paperback)
035 _a(OCoLC)1035635968
_z(OCoLC)1035845367
_z(OCoLC)1036267352
_z(OCoLC)1037031598
040 _aGW5XE
_beng
_cGW5XE
_dN$T
_dEBLCP
_dYDX
_dN$T
_dUAB
_dOCLCF
_dOCLCQ
_dFIE
_dSTF
_dBAUN
_erda
041 0 _aeng
049 _aBAUN_MERKEZ
050 1 4 _aQA402.37
_b.S35 2018
082 0 4 _223
100 1 _aSaldi, Naci,
_eaut
_9118739
245 1 0 _aFinite approximations in discrete-time stochastic control :
_bquantized models and asymptotic optimality /
_cNaci Saldi, Tamás Linder, Serdar Yüksel
264 1 _aCham, Switzerland :
_bBirkhäuser,
_c[2018]
300 _avii, 198 pages :
_billustrations ;
_c23 cm.
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
490 1 _aSystems & control: foundations & applications,
_x2324-9749
504 _aIncludes bibliographical references and index
505 0 0 _t--Introduction and Summary
_t-- Part I: Finite Model Approximations in Stochastic Control
_t-- Prelude to Part I
_t-- Finite Action Approximation of Markov Decision Processes
_t-- Finite-State Approximation of Markov Decision Processes
_t-- Approximations for Partially Observed Markov Decision Processes
_t-- Approximations for Constrained Markov Decision Problems
_t-- Part II: Finite Model Approximations in Decentralized Stochastic Control
_t-- Prelude to Part II
_t-- Finite Model Approximations in Decentralized Stochastic Control
_t-- Asymptotic Optimality of Finite Models for Specific Systems
_t-- Index
_t-- References
520 _aIn a unified form, this monograph presents fundamental results on the approximation of centralized and decentralized stochastic control problems, with uncountable state, measurement, and action spaces. It demonstrates how quantization provides a system-independent and constructive method for the reduction of a system with Borel spaces to one with finite state, measurement, and action spaces. In addition to this constructive view, the book considers both the information transmission approach for discretization of actions, and the computational approach for discretization of states and actions. Part I of the text discusses Markov decision processes and their finite-state or finite-action approximations, while Part II builds from there to finite approximations in decentralized stochastic control problems. This volume is perfect for researchers and graduate students interested in stochastic controls. With the tools presented, readers will be able to establish the convergence of approximation models to original models and the methods are general enough that researchers can build corresponding approximation results, typically with no additional assumptions.--
650 0 _aStochastic control theory.
_9100474
650 0 _aApproximation theory.
_9118740
700 1 _aLinder, Tamás,
_eaut
_9118742
700 1 _aYüksel, Serdar
_eaut
_9118741
830 0 _aSystems & control.
_9110213
942 _2lcc
_cKT
999 _c92055
_d92055