ON INTEGRALS OF A CLASS OF MEASURABLE FUNCTIONS,

Abstract

An integral is evaluated whose integrand is nonnegative, measurable, and possesses the property of being integrable over closed intervals contained in an open dense subset of the interval of integration, where this open dense subset is the complement of a countable closed subset of the interval of integration. Applications to control theory and differential game theory, where these integrals were first used, are mentioned. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1970
Accession Number
AD0703651

Entities

People

  • George Leitmann
  • Harold L. Stalford

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Control Theory
  • Game Theory
  • Integrals
  • Intervals
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Mathematical Modeling and Probability Theory.