TIME-VARYING NETWORKS THE STATE VARIABLES, STABILITY AND ENERGY BOUNDS,

Abstract

This paper is concerned with linear networks which contain time-varying resistors, inductors, and capacitors. The state variables formulation is used to describe the general circuit. The energy stored is calculated in terms of the state variables and the incidence submatrices, from which general sufficient conditions for stability are derived. Upper and lower bounding functions on the stored energy are next obtained. These functions lead to sharply defined conditions for stability and instability of periodically varying networks. Examples are included to illustrate the use of the general method and the importance of the results. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 02, 1964
Accession Number
AD0435839

Entities

People

  • E. S. Kuh

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Capacitors
  • Electronic Components
  • Electronic Equipment
  • Inductors
  • Instability
  • Passive Electronic Components

Readers

  • Electrical Engineering
  • Fluid Mechanics and Fluid Dynamics.
  • Operations Research