Stability Considerations: Numerical Methods and Control Theory Equivalences

1 May 1987

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Industrial Electronics

Vol. IE-34 (2) , 180-187
https://doi.org/10.1109/tie.1987.350952

Abstract

Stability of difference equations is discussed from the viewpoints of control theory and numerical analysis. Several definitions used by numerical analysts are introduced and explained. A number of points of similarity and one of contrast between the two fields are presented.

Keywords

NUMERICAL STABILITY
CONTROL THEORY
STABILITY ANALYSIS
DIFFERENTIAL EQUATIONS
TRANSFER FUNCTIONS
DIFFERENCE EQUATIONS
NUMERICAL ANALYSIS
CONTROL SYSTEMS
SYSTEMS ENGINEERING AND THEORY
NONLINEAR SYSTEMS

This publication has 2 references indexed in Scilit:

Time-domain steady-state analysis of nonlinear electrical systems
Proceedings of the IEEE, 1982
Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations
SIAM Journal on Numerical Analysis, 1970