ON THE EXISTENCE OF OPTIMAL CONTROLS FOR PARTIALLY OBSERVED DIFFUSION

被引:16
作者
HAUSSMANN, UG
机构
关键词
731 Automatic Control Principles and Applications - 931 Classical Physics; Quantum Theory; Relativity;
D O I
10.1137/0320030
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The problem of optimally controlling a partially observed diffusion process is shown to have a solution in two cases: when the set of admissible controls is compact, or when the set of admissible controls is the set of randomized controls.
引用
收藏
页码:385 / 407
页数:23
相关论文
共 20 条
[1]   EXISTENCE OF OPTIMAL STOCHASTIC CONTROL LAWS [J].
BENES, VE .
SIAM JOURNAL ON CONTROL, 1971, 9 (03) :446-&
[2]  
Billingsley P, 1968, CONVERGENCE PROBABIL
[3]   STOCHASTIC CONTROL PROBLEM WITH PARTIAL OBSERVATION [J].
BISMUT, JM .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1979, 49 (01) :63-95
[4]   EXISTENCE OF OPTIMAL STOCHASTIC CONTROLS UNDER PARTIAL OBSERVATION [J].
CHRISTOPEIT, N .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1980, 51 (02) :201-213
[5]  
Dellacherie, 1975, PROBABILITES POTENTI
[6]  
Dunford N., 1966, LINEAR OPERATORS 1
[7]  
ERSHOV MP, 1975, ANAL MATH, V1, P259
[8]   OPTIMAL-CONTROL FOR PARTIALLY OBSERVED DIFFUSIONS [J].
FLEMING, WH ;
PARDOUX, E .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1982, 20 (02) :261-285
[9]  
Gikhman I.I., 1972, STOCHASTIC DIFFERENT
[10]  
Girsanov I.V., 1960, THEOR PROBAB APPL, V5, P285, DOI DOI 10.1137/1105027