ASYMPTOTIC STABILITY CRITERIA FOR LINEAR SYSTEMS OF DIFFERENCE-DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE AND THEIR DISCRETE ANALOGUES,

Abstract

Electrical networks containing lossless transmission lines are often modeled by difference-differential equations of neutral type. The paper finds sufficient conditions for asymptotic stability for linear systems of these equations. Also given is a modification of the direct method of Liapunov for difference equations. This method is applied to finding asymptotic stability criteria for the discrete analogues of the linear system of difference-differential equations. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0710423

Entities

People

  • Ettore Ferrari Infante
  • Marshall Slemrod

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Analogs
  • Difference Equations
  • Differential Equations
  • Electrical Networks
  • Equations
  • Linear Systems
  • Mathematics
  • Transmission Lines

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis