Accession Number : ADA136375

Title :   A High-Order Test for Optimality of Bang-Bang Controls.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Bressan,A

PDF Url : ADA136375

Report Date : Nov 1983

Pagination or Media Count : 21

Abstract : The determination of optimal controls is the primary problem in control theory. The most effective tool in this respect is Pontryagin's Maximum Principle, which provides necessary conditions for optimality, thus restricting the search to a small set of candidates among which the optimal control is more easily found. In cases where Pontryagin's test does not yield sufficient information, more refined necessary conditions are known, for example Krener's High-order Maximum Principle. The high-order test disc;ussed in this paper states further necessary conditions for optimality and cna be particularly useful when applied to bang-bang controls, a case often encountered in the applications, where other high-order tests are generally ineffective. (Author)

Descriptors :   *Functional analysis, *Control systems, *Optimization, *Test and evaluation, Control theory, Variations, Perturbations, Pulse modulation

Subject Categories : Theoretical Mathematics
      Test Facilities, Equipment and Methods

Distribution Statement : APPROVED FOR PUBLIC RELEASE