Accession Number:

AD0729977

Title:

Functional Analysis and Time Optimal Control,

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s):

Report Date:

1971-09-01

Pagination or Media Count:

142.0

Abstract:

The book is a self-contained exposition of the theory of time optimal control with emphasis on its development as an application of functional analysis. The areas of functional analysis discussed include convex sets and the Hahn-Banach theorem, dual variational problems, moment problems, weak topologies, and the Krein-Milman theorem. These discussions, in turn, yield results more germane to control theory such as the Liapunov theorem on the range of a vector measure, its equivalence to the LaSalle theorem, and extensions of each. In the treatment of linear time optimal control, emphasis is placed on the geometric interpretation of the necessary conditions, in terms of properties of the set of attainability and their relationship to Pontryagins maximum principle and transversality conditions. Basic results for nonlinear time optimal control are included. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE