Backward error analysis for a pole assignment algorithm

Backward error analysis for a pole assignment algorithm

Of the six or so pole assignment algorithms currently available, several have been claimed to be numerically stable, but no proofs have been published to date. It is shown, by performing a backward error analysis, that one of these algorithms, due to Petkov, Christov, and Konstantinov [IEEE Trans. A...

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Veröffentlicht in:SIAM journal on matrix analysis and applications 1989-10, Vol.10 (4), p.446-456
Hauptverfasser: COX, C. L, MOSS, W. F
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control theory
Control theory. Systems
Deflation
Eigenvalues
Error analysis
Exact sciences and technology
Linear algebra
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Zusammenfassung:Of the six or so pole assignment algorithms currently available, several have been claimed to be numerically stable, but no proofs have been published to date. It is shown, by performing a backward error analysis, that one of these algorithms, due to Petkov, Christov, and Konstantinov [IEEE Trans. Automat. Control, AC-29 (1984), pp. 1045-10481 is numerically stable.
ISSN:0895-4798
1095-7162
DOI:10.1137/0610032