Structure of Riccati Equation Solutions in Optimal Boundary Control of Hyperbolic Equations with Quadratic Cost Functionals.

Abstract

This paper concerns the question of minimizing a quadratic cost functional associated with a linear symmetric hyperbolic control system over a finite time interval. A necessary and sufficient condition for a solution to exist is developed in terms of the solution of a two-point boundary value problem (TPBVP). The TPBVP is solved under various conditions. The limit case of an infinite time interval is also considered.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1976
Accession Number
ADA029961

Entities

People

  • Hock Lye Koh

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Control Systems
  • Differential Equations
  • Equations
  • Intervals
  • Mathematical Analysis
  • Mathematics
  • Riccati Equation
  • Time Intervals

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Game Theory.