Title :
Connection between stability tests of Middleton/Goodwin and Lev-Ari/Bistritz/Kailath
Author_Institution :
Dept. of Electr. & Comput. Eng., Cincinnati Univ., OH, USA
fDate :
8/1/1999 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
