Accession Number:

ADA053738

Title:

A Finite Difference Technique for Solving Optimization Problems Governed by Linear Functional Differential Equations.

Descriptive Note:

Interim rept.,

Corporate Author:

BROWN UNIV PROVIDENCE R I LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s):

Report Date:

1978-03-01

Pagination or Media Count:

70.0

Abstract:

Aspects of the approximation and optimal control of systems governed by linear retarded nonautonomous functional differential equations FDE are considered. First, certain FDE are shown to be equivalent to corresponding abstract ordinary differential equations ODE. Next, it is demonstrated that these abstract ODE may be approximated by difference equations in finite dimensional spaces. The optimal control problem for systems governed by FDE is then reduced to a sequence of mathematical programming problems. Finally, numerical results for two examples are presented and discussed. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE