Finite Regions of Attraction for the Problem of Lur'e

1 October 1967

journal article
research article
Published by Taylor & Francis in International Journal of Control

Vol. 6 (4) , 331-336
https://doi.org/10.1080/00207176708921808

Abstract

Finite regions of attraction of the equilibrium are obtained for the problem of Lur'o when the Popov sector condition in satisfied only over a finite or semi-infinite interval. Given this interval, regions of attraction may be specified with or without other knowledge of the nature of the non-linearity. This specification is performed using Liapunov functions constructed by the Kalman procedure and therefore is completely automatic.

Keywords

LUR'E
FINITE REGIONS
INFINITE INTERVAL
SECTOR CONDITION
SEMI INFINITE
KALMAN PROCEDURE
POPOV SECTOR
COMPLETELY AUTOMATIC
LIAPUNOV FUNCTIONS

This publication has 1 reference indexed in Scilit:

LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL
Proceedings of the National Academy of Sciences, 1963