A STABILITY STUDY OF THE EQUILIBRIUM STATES OF A FEEDBACK SHIFT REGISTER OVER THE REAL FIELD.

Abstract

The work studies the stability behavior of a class of autonomous discrete time systems. It is concerned with two main problems. First is the resolution of stability of an equilibrium state in the sense of Liapunov. Several theorems are presented which make it possible to determine if the equilibrium state of an autonomous discrete time system is stable. Second is the study of the stability and boundedness domains of these discrete time systems. To date, it is not possible to determine the exact equation of these domains, but several theorems are presented which give topological properties they possess. A technique is also presented which allows the approximation of the stability domain by an iteration process. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1969
Accession Number
AD0690489

Entities

People

  • H. Joseph Weaver Jr

Organizations

  • University of Notre Dame

Tags

Communities of Interest

  • Autonomy

DTIC Thesaurus Topics

  • Arrhenius Equation
  • Equations
  • Feedback
  • Iterations
  • Mathematics
  • Shift Registers

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Robotics and Automation.