Qualitative Properties of a Class of Infinite Dimensional Systems,

Abstract

The research is concerned with the theory of infinite dimensional systems and their qualitative properties: controllability, observability, stabilizability and other related notions. Such properties may be unstable under approximation, in which case there may exist a property-gap. Considerable use is made of functional analysis, especially spectral theory in deriving several criteria for checking these system properties. As an illustration of the general theory linear systems with hereditary dependence (the most general type known to be useful) are considered. Several new results on controllability and stabilizability are presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1972
Accession Number
AD0754994

Entities

People

  • Herman F. Vandevenne

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Functional Analysis
  • Linear Systems

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Mathematical Modeling and Probability Theory.