TY - JOUR
T1 - Direct bilinear Routh stability criteria for discrete systems
AU - Bistritz, Y.
PY - 1984/7
Y1 - 1984/7
N2 - The bilinear transformation is applied to Routh conditions for Hurwitz polynomials to obtain a variety of equivalent direct z-plane continued fraction (CF) expansions and stability conditions for discrete system polynomials. Efficient computational algorithms are provided. They can be used to test the stability of a discrete system and to determine the number of zeros of unstable system polynomials outside the unit circle. The many new CF forms may be also applicable to the design of bilinear transformed sampled data ladder filters.
AB - The bilinear transformation is applied to Routh conditions for Hurwitz polynomials to obtain a variety of equivalent direct z-plane continued fraction (CF) expansions and stability conditions for discrete system polynomials. Efficient computational algorithms are provided. They can be used to test the stability of a discrete system and to determine the number of zeros of unstable system polynomials outside the unit circle. The many new CF forms may be also applicable to the design of bilinear transformed sampled data ladder filters.
KW - Bilinear transformation
KW - Discrete stability criterion
KW - Ladder networks
KW - z-plane continued fractions
UR - http://www.scopus.com/inward/record.url?scp=50849152027&partnerID=8YFLogxK
U2 - 10.1016/S0167-6911(84)80036-5
DO - 10.1016/S0167-6911(84)80036-5
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AN - SCOPUS:50849152027
SN - 0167-6911
VL - 4
SP - 265
EP - 271
JO - Systems and Control Letters
JF - Systems and Control Letters
IS - 5
ER -