A GENERAL STOCHASTIC MAXIMUM PRINCIPLE FOR OPTIMAL-CONTROL PROBLEMS

被引:520
作者
PENG, SG [1 ]
机构
[1] SHANDONG UNIV,INST MATH,JINAN,PEOPLES R CHINA
关键词
D O I
10.1137/0328054
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 maximum principle for nonlinear stochastic optimal control problems in the general case is proved. The control domain need not be convex, and the diffusion coefficient can contain a control variable.
引用
收藏
页码:966 / 979
页数:14
相关论文
共 12 条
[1]   STOCHASTIC MAXIMUM PRINCIPLE FOR DISTRIBUTED PARAMETER-SYSTEMS [J].
BENSOUSSAN, A .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1983, 315 (5-6) :387-406
[2]  
BENSOUSSAN A, 1981, LECTURE NOTES MATH, V372
[3]  
Bensoussan A., 1988, PERTURBATION METHODS
[4]   INTRODUCTORY APPROACH TO DUALITY IN OPTIMAL STOCHASTIC CONTROL [J].
BISMUT, JM .
SIAM REVIEW, 1978, 20 (01) :62-78
[5]  
EKELAND I, 1972, CR ACAD SCI A MATH, V275, P1057
[6]   NON-CONVEX MINIMIZATION PROBLEMS [J].
EKELAND, I .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 1 (03) :443-474
[7]  
Haussmann UG, 1976, MATH PROGRAMMING STU, V6, P34
[8]  
HU Y, 1987, IN PRESS SEP P S CON
[9]  
Ikeda N., 1981, STOCHASTIC DIFFERENT
[10]   NECESSARY CONDITIONS FOR CONTINUOUS PARAMETER STOCHASTIC OPTIMIZATION PROBLEMS [J].
KUSHNER, HJ .
SIAM JOURNAL ON CONTROL, 1972, 10 (03) :550-&