The Riccati Integral Equation Arising in Optimal Control of Delay Differential Equations.

Abstract

In this paper we discuss the linear regulator problem associated with delay-differential equations. Formulas for the optimal feedback control and optimal trajectory are derived; this naturally leads to a Riccati integral equation in the state space of the delay equation. Finally, the linear regulator problem for the delay equation is approximated by sequences of regulator problems associated with ordinary differential equations in Euclidean space. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 10, 1980
Accession Number
ADA088097

Entities

People

  • K. Kunisch

Organizations

  • Brown University

Tags

Communities of Interest

  • Autonomy

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Applied Mathematics
  • Convergence
  • Differential Equations
  • Equations
  • Feedback
  • Hilbert Space
  • Integral Equations
  • Integrals
  • Intervals
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Sequences
  • Trajectories
  • Universities

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Robotics and Automation.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers