DocumentCode :
770706
Title :
On the Markov stability criterion for discrete systems
Author :
Mansour, M. ; Anderson, B.D.O.
Author_Institution :
Dept. of Autom. Control, Swiss Federal Inst. of Technol., Zurich, Switzerland
Volume :
37
Issue :
12
fYear :
1990
fDate :
12/1/1990 12:00:00 AM
Firstpage :
1576
Lastpage :
1578
Abstract :
It is shown that the Markov stability criterion for discrete systems developed by H. Nour-Eldin (1971) can be simplified for n even, to a positivity test of the Hankel matrix S of low dimension m=n/2, and to a positivity test of certain linear combinations of the coefficients obtained through bilinear transformation. For n odd, the polynomial zf(z) is considered instead of f(z)
Keywords :
Markov processes; discrete systems; matrix algebra; polynomials; stability criteria; Hankel matrix; Markov stability criterion; bilinear transformation; coefficients; discrete systems; linear combinations; polynomial; Chebyshev approximation; Circuits and systems; Continuous time systems; Polynomials; Stability criteria; Sufficient conditions; Systems engineering and theory;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/31.101283
Filename :
101283
Link To Document :
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