Accession Number:

AD0687473

Title:

SOME OPTIMAL CONTROL RESULTS FOR DIFFERENTIAL DIFFERENCE SYSTEMS.

Descriptive Note:

Technical rept.,

Corporate Author:

HARVARD UNIV CAMBRIDGE MASS DIV OF ENGINEERING AND APPLIED PHYSICS

Personal Author(s):

• Bryson,A. E. , Jr.
• Budelis,J. J.

Report Date:

1969-03-01

Pagination or Media Count:

26.0

Abstract:

The development of necessary conditions for an extremal path in the case where the system equations and the performance index contain a time delay in both the state and the control variables is presented. A non-iterative method of solution is presented for a linear system with a quadratic performance index for the case where the control variable appears in the system equations evaluated both at the present time and a previous time. Author

Descriptors:

• *CONTROL SYSTEMS
• OPTIMIZATION
• DIFFERENTIAL EQUATIONS
• DIFFERENCE EQUATIONS
• MATHEMATICAL MODELS
• HAMILTONIAN FUNCTIONS
• NUMERICAL INTEGRATION

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE