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Versal deformation of realisable Markov parameters

Author
Baragaña, I.; Puerta, F.
Type of activity
Journal article
Journal
International journal of control
Date of publication
2017-12-19
Volume
92
Number
8
First page
1846
Last page
1857
DOI
https://doi.org/10.1080/00207179.2017.1414311 Open in new window
URL
https://www.tandfonline.com/doi/full/10.1080/00207179.2017.1414311 Open in new window
Abstract
Let Ln(d) be the set of sequences (L 1,…¿, L n ), Li¿Rp×m,i=1,¿,n, admitting a minimal partial realisation of order d. To each L¿Ln(d), we associate two sequences of integers r=(r1,¿,rn) with r 1 = r 2 = … = r ß > 0 = r ß+1 = … = r n and s=(s1,¿,sn) with s 1 = s 2 = … = s a > 0 = s a+1 = … = s n called the partial Brunovsky column and row indices of L, respectively. Let Ln(d)= be the subset of Ln(d) formed by the sequences L for which a + ß = n. Let S co be the set of matrix ...
Keywords
Brunovsky indices, Partial realisation, differential manifold, transversality, versal deformation

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