Accession Number : AD0275989

Title :   AN EXTENSION OF ASCOLI'S THEOREM AND ITS APPLICATIONS TO THE THEORY OF OPTIMAL CONTROL

Corporate Author : AIR FORCE OFFICE OF SCIENTIFIC RESEARCH ARLINGTON VA

Personal Author(s) : CHANG,S.S.L.

Report Date : JAN 1962

Pagination or Media Count : 1

Abstract : Ascoli's t orem deals with continuous functions and states that the space of bounded, equi-continuous functions is compact. The present paper extends it to the measurable functions. Both the space of bounded qui-measurable functions, and its product with the space of bounded equicontinuous func ions re compact. (Author)

Descriptors :   *CONTROL SYSTEMS, *FUNCTIONS(MATHEMATICS)

Distribution Statement : APPROVED FOR PUBLIC RELEASE