Root distribution of a polynomial in subregions of complex plane

Root distribution of a polynomial in subregions of complex plane

Modified processes are proposed for directly treating singularities in the Routh array, and procedures are developed for determining the respective orders of simple and/or repeated roots lying on the imaginary axis. The extended Sturm test is developed for determining the root distribution on some s...

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Veröffentlicht in:IEEE transactions on automatic control 1993-01, Vol.38 (1), p.173-178
Hauptverfasser: Tsai, J.S.H., Chen, S.S.
Format: Artikel
Sprache:eng
Schlagworte:
Adaptive control
Adaptive systems
Applied sciences
Automatic control
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Exact sciences and technology
Polynomials
Programmable control
Robust control
Stability analysis
Uncertainty
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Zusammenfassung:Modified processes are proposed for directly treating singularities in the Routh array, and procedures are developed for determining the respective orders of simple and/or repeated roots lying on the imaginary axis. The extended Sturm test is developed for determining the root distribution on some specified lines. Moreover, to enhance the Routh stability theorem, the extended Routh theorem for finding the numbers of roots of a polynomial lying within some specified regions is proposed.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.186335