STOCHASTIC TIME-OPTIMAL CONTROL.

Abstract

The problem under study is the stochastic time-optimal control problem. Basically the object is to determine a control input which causes the output of a stochastic system to reach some region R of the origin in such a way that the expected value of the time required to reach R is minimized. The system is assumed to satisfy a stochastic differential equation. This problem has already been considered by a few authors, however in most cases serious errors were made in their analysis and problem statement. In this study a careful problem statement is made, appropriate optimization equations derived, and an iterative method of solution technique (approximation in policy space) is applied to solve certain specific problems. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1965
Accession Number
AD0467504

Entities

People

  • Prentiss N. Robinson

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Mathematics
  • Optimization

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space