TY - JOUR
T1 - On the singular cases of Jury's algorithms for stability testing of linear discrete systems
AU - Tsai, Jason S.H.
AU - Chen, Shyan S.
AU - Shieh, Leang S.
N1 - Funding Information:
This work was supported by the National Science Council of the Republic of China under contract NSC-81-0404-E-006-516, the NASA-Johnson Space Center under grant NAG-9-380, and the U.S. Army Research office under contract DAAL-03-91-G-0106.
PY - 1992
Y1 - 1992
N2 - For a stability test of linear discrete systems in a tabular form, two singular cases of Jury's algorithms are considered, in which a row with some (but not all) vanishing leading elements and a row with all zero elements arise respectively. For the singular case of rows with some (but not all) vanishing leading elements, Yeung's method is improved for efficient usages. Based on the newly improved algorithm in treating all-zero rows, the number of roots on the unit circle and their respective orders can be determined. As a result, the situation of conditional stability or instability can be distinguished by the criteria developed in this paper.
AB - For a stability test of linear discrete systems in a tabular form, two singular cases of Jury's algorithms are considered, in which a row with some (but not all) vanishing leading elements and a row with all zero elements arise respectively. For the singular case of rows with some (but not all) vanishing leading elements, Yeung's method is improved for efficient usages. Based on the newly improved algorithm in treating all-zero rows, the number of roots on the unit circle and their respective orders can be determined. As a result, the situation of conditional stability or instability can be distinguished by the criteria developed in this paper.
UR - https://www.scopus.com/pages/publications/78049330367
UR - https://www.scopus.com/pages/publications/78049330367#tab=citedBy
U2 - 10.1093/imamci/9.3.231
DO - 10.1093/imamci/9.3.231
M3 - Article
AN - SCOPUS:78049330367
SN - 0265-0754
VL - 9
SP - 231
EP - 244
JO - IMA Journal of Mathematical Control and Information
JF - IMA Journal of Mathematical Control and Information
IS - 3
ER -