On the singular cases of Jury's algorithms for stability testing of linear discrete systems

Jason S.H. Tsai, Shyan S. Chen, Leang S. Shieh

研究成果: Article同行評審

摘要

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.

原文English
頁(從 - 到)231-244
頁數14
期刊IMA Journal of Mathematical Control and Information
9
發行號3
DOIs
出版狀態Published - 1992

All Science Journal Classification (ASJC) codes

  • 控制與系統工程
  • 控制和優化
  • 應用數學

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