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Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN Imprimer: 1064-2315
ISSN En ligne: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v49.i2.30
pages 31-42

Construction of Stability Domain of Digital Linear Systems in Space of Parameters Using Method of Discrete D-Partition

Leonid T. Movchan
Ivan Pulyui Ternopol National Technical University, Ternopol
Sergey L. Movchan
Consulting center "BIZON", Ternopol, Ukraine

RÉSUMÉ

Consideration is given to the problem of constructing stability domain of linear digital systems in a space of two parameters nonlinearly entering coefficients of characteristic equation. The new algorithm for determining boundary points of stability domain by enumeration of only one parameter in uniquely determined direction without verification of system stability or instability at these points is proposed. Simplified algorithm for stability domain determination significantly reduces the volume and time of calculations required for solving this problem. Correctness of results is guaranteed by employing D-partition method.


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Construction of Stability Domain of Digital Linear Systems in Space of Two Parameters Nonlinearly Influencing Coefficients of Characteristic Equation
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