OPTIMAL MULTIPLICATIVE CONTROL.

Abstract

This study is concerned with the optimal control of systems whose dynamics are represented by n first order differential equations. The systems are linear and deterministic. The performance indices considered are (1) the mean squared error, (2) the regulator problem, and (3) the minimum time problem. Pontryagin's maximum principle is used to derive the optimization equations for each of the above problems. The general theory is illustrated by various first and second order examples. A short discussion of the problem of stability and singular control is included. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1964
Accession Number
AD0601536

Entities

People

  • Ashok Bhojwani
  • Peter Dorato

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Control Systems
  • Differential Equations
  • Dynamics
  • Equations
  • Mathematics
  • Optimization
  • Regulators

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.