Accession Number:

AD0753129

Title:

Gradient Methods for Dual Optimal Control and Max-Min Problems.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Barnes,Earl R.

Report Date:

1972-09-01

Pagination or Media Count:

30.0

Abstract:

The author considers two max-min problems. The first problem arises in optimal control theory when duality is used to reduce certain problems having a large number of nonlinear constraints to a sequence of problems, each having only one nonlinear constraint. The second problem is a variational problem for determining the optimum taper of a cooling fin. The principal aim is to describe and prove convergence of certain gradient procedures for solving these problems numerically. Author

Descriptors:

• (*ADAPTIVE CONTROL SYSTEMS
• MATHEMATICAL MODELS)
• DIFFERENTIAL EQUATIONS
• FUNCTIONAL ANALYSIS
• INEQUALITIES
• CONVERGENCE
• TRAJECTORIES
• GRAVITY
• THEOREMS
• CALCULUS OF VARIATIONS
• FINS
• COOLING

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE