Accession Number:

AD0488395

Title:

REPRESENTATION AND REALIZATION OF TIME-VARIABLE LINEAR SYSTEMS

Descriptive Note:

Technical rept.

Corporate Author:

COLUMBIA UNIV NEW YORK DEPT OF ELECTRICAL ENGINEERING

Personal Author(s):

Report Date:

1966-06-01

Pagination or Media Count:

196.0

Abstract:

This research emphasizes those system properties and concepts that can be characterized without solving time-variable differential equations. Criteria are developed for determining the degree of controllability and observability of a time-variable system. These criteria are based on the rank of the controllability and observability matrices, newly defined quantities formed from the system coefficient matrices and a finite number of their derivatives. Based on the theory of equivalent systems and the criteria for controllability and observability, a new approach to the synthesis of nonstationary impulse response matrices is developed. This method of synthesis, which does not require an a priori assumption of separability, provides a systematic procedure for realizing a wide class of impulse responses. By relating the concepts of controllability and unilateral transmission, the existence of a class of unilateral networks composed solely of two-terminal RC time-variable components is demonstrated. A stable example of such a network is presented and possible applications discussed.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE