Accession Number:

ADA158172

Title:

Realization Theory in Hilbert Space

Descriptive Note:

Technical summary rept.

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1985-07-01

Pagination or Media Count:

37.0

Abstract:

This paper studies the state space representation of time invariant causal, linear input-output operators in continuous time. A realization theorem in the Hilbert space context is established in full generality using unbounded input and output operators. The first step is to construct an abstract state space representation with a prescribed input-output behavior. The second step is to transform this abstract system into a differential equation. The uniqueness problem is discussed in some detail as well as the relation to existing results in realization theory. Additional keywords Linear control systems Frechet space.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE