Accession Number : AD0781192

Title :   Weak Convergence of Set-Valued Functions and Control,

Corporate Author : BROWN UNIV PROVIDENCE R I LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s) : Artstein,Zvi

Report Date : JUN 1974

Pagination or Media Count : 39

Abstract : Weak convergence on the space of integrably bounded set-valued functions is defined. Generalizations of results of weak convergence of real-valued integrable functions are obtained in the set-valued case. The results are applied to the characterization of the continuous dependence of the attainable set of a linear control system on the restraint set. It is shown that the weak convergence of the restraint set is a sufficient condition for the uniform convergence of the attainable set, and under the additional condition of uniform integrability the weak convergence is also a necessary condition. (Author)

Descriptors :   *Control theory, Linear systems, Set theory, Functions(Mathematics), Convergence, Measure theory, Theorems

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE