Sequential Conjugate Gradient-Restoration Algorithm for Optimal Control Problems. Part I. Theory.

Abstract

This paper considers the problem of minimizing a functional I which depends on the state x(t), the control u(t), and the parameter pi. Here, I is a scalar, x an n-vector, u an m-vector, and pi a p-vector. At the initial point, the state is prescribed. At the final point, the state and the parameter are required to satisfy q scalar relations. Along the interval of integration, the state, the control, and the parameter are required to satisfy n scalar differential equations.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1974
Accession Number
ADA004088

Entities

People

  • A. V. Levy
  • J. C. Heideman

Organizations

  • Rice University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Differential Equations
  • Equations
  • Intervals

Readers

  • Analytical Mechanics
  • Control Systems Engineering.
  • Operations Research