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
fDate :
12/1/1990 12:00:00 AM
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;
Journal_Title :
Circuits and Systems, IEEE Transactions on
