Linear Control Theory and Riccati Equations.

Abstract

The author considers a general quadratic optimization problem for a control system dy/dt = A(t)y + f(t) + B(t)u(t) in a general Hilbert space setting. The operator Riccati equation which characterizes the optimal control is derived and general existence and regularity theorems are proved. The results have potential application to systems governed by linear partial differential equations, linear differential delay equations, etc.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1976
Accession Number
ADA023979

Entities

People

  • L. Tartar

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Control Systems
  • Control Theory
  • Differential Equations
  • Equations
  • Hilbert Space
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations
  • Partial Differential Equations
  • Riccati Equation

Fields of Study

  • Mathematics

Readers

  • Linear Algebra

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers