Title :
A simplified derivation of the Zeheb-Walach 2-D stability test with applications to time-delay systems
Author :
Chiasson, John N. ; Brierley, Stephen D. ; Lee, E. Bruce
Author_Institution :
University of Minnesota, Minneapolis, MN, USA
fDate :
4/1/1985 12:00:00 AM
Abstract :
Zeheb and Walach gave a stability test for

systems. For 2-D systems, a simpler derivation is presented here using the results of DeCarlo et al. It is then shown how the method may also be used to test for stability (independent of delay) of retarded time-delay systems.
Keywords :
Delay systems, linear; Multidimensional (n-D) system; Stability, linear systems; Circuits; Control systems; Delay effects; Delay lines; Filters; Polynomials; Speech; Stability; System testing; Three-term control;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1985.1103958