On a New Characterization of Linear Passive Systems.

Abstract

The purpose of the paper is to characterize or realize the NxN matrix function Z (dot) of the complex variable s as a finite dimensional constant linear dynamical system. Concept of reducibility is then introduced. The paper then discusses the relationship between various realizations of Z (dot) which is the main idea motivating the research. Restrictions due to passivity and reciprocity are next presented. A theorem gives a more precise and more general characterization of passivity than was heretofore available. Finally the usefulness of the characterization theorem and the group theoretic ideas related to it are illustrated by two examples. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1964
Accession Number
AD0725098

Entities

People

  • R. E. Kalman

Organizations

  • Martin Marietta

Tags

DTIC Thesaurus Topics

  • Complex Variables
  • Contract Administration
  • Contracts
  • Passivity

Fields of Study

  • Mathematics

Readers

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