DocumentCode
1535387
Title
Connection between stability tests of Middleton/Goodwin and Lev-Ari/Bistritz/Kailath
Author
Fan, Howard
Author_Institution
Dept. of Electr. & Comput. Eng., Cincinnati Univ., OH, USA
Volume
46
Issue
8
fYear
1999
fDate
8/1/1999 12:00:00 AM
Firstpage
1031
Lastpage
1033
Abstract
Here it is shown that two seemingly unrelated stability tests, the Lev-Ari/Bistritz/Kailath test for systems in the discrete-time shift-operator formulation and the test proposed by Middleton and Goodwin for systems in the discrete-time delta-operator formulation, are closely related. It is shown that they both belong to a family of stability tests spanning from the discrete-time to the continuous-time, including the well-known Routh test
Keywords
control system analysis; matrix algebra; polynomials; stability; system theory; Lev-Ari/Bistritz/Kailath test; Middleton/Goodwin test; discrete-time delta-operator formulation; discrete-time shift-operator formulation; stability tests; Circuits; Convergence; Design optimization; Discrete transforms; Mathematical model; Phase locked loops; Spirals; Stability analysis; Testing; Timing;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.780385
Filename
780385
Link To Document