Accession Number:

ADA029961

Title:

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

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1976-06-01

Pagination or Media Count:

214.0

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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE