Stochastic Optimization Bilinear Multistage System Efficient Solution Adjoint Problem Separation of Control and Observation
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 12, No 1, (1998), 235p-244p
An efficient control problem for bilinear multistage system with random perturbations is considered. The efficient solutions are choosen by two criteria: the first is
maximization of a mean value, the second is minimization of a variance of utility function. Such approach has been suggested by Markovitz H.  to solve one-stage
problem of the portfolio selection in financial analysis.
The existence conditions of the stationary efficient controls are obtained in case
of incomplete information on the parameters of distributions. The randomization
method for unknown parameters is used to construct a control problem solution.
The concept of an adjoint stochastic optimization problem is introduced. The connection and separation problems of efficient control and observation are studied by
means of adjoint problem solution.