Accession Number:

AD0754994

Title:

Qualitative Properties of a Class of Infinite Dimensional Systems,

Descriptive Note:

Corporate Author:

MASSACHUSETTS INST OF TECH CAMBRIDGE ELECTRONIC SYSTEMS LAB

Personal Author(s):

• Vandevenne,Herman F.

Report Date:

1972-05-01

Pagination or Media Count:

178.0

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

Descriptors:

• (*ADAPTIVE CONTROL SYSTEMS
• MATHEMATICAL MODELS)
• (*DIFFERENTIAL EQUATIONS
• *FUNCTIONAL ANALYSIS)
• LINEAR SYSTEMS
• OPERATORS(MATHEMATICS)
• STABILITY
• FEEDBACK
• HILBERT SPACE
• BANACH SPACE
• GROUPS(MATHEMATICS)
• SYSTEMS ENGINEERING
• THEOREMS
• THESES

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE