Weak Convergence of Set-Valued Functions and Control,

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)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1974
Accession Number
AD0781192

Entities

People

  • Zvi Artstein

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Convergence
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space