Found 18 Documents (Results 1–18)
Extension of the Bessmertnyĭ realization theorem for rational functions of several complex variables. (English) Zbl 07422102
MSC:
47-XX
Derivation and reduction of the singular Fornasini-Marchesini state-space model for a class of multidimensional systems. (English) Zbl 07907134
Elementary operation approach to Fornasini-Marchesini state-space model realization of multidimensional systems. (English) Zbl 1447.93158
A novel constructive procedure to low-order Fornasini-Marchesini model realization. (English) Zbl 1430.93037
A direct and converse Lyapunov theorem for a nonlinear 2D discrete system described by the Fornasini-Marchesini second model. (English) Zbl 1434.93027
Common eigenvector approach to exact order reduction for multidimensional Fornasini-Marchesini state-space models. (English) Zbl 1482.93298
An approach to multidimensional Fornasini-Marchesini state-space model realization w.r.t. columns of transfer matrices. (English) Zbl 1408.93045
Gleason’s problem associated to a real ternary algebra and applications. (English) Zbl 1405.30049
Reviewer: Amedeo Altavilla (Roma)
Schur analysis in the quaternionic setting: the Fueter regular and the slice regular case. (English) Zbl 1337.47015
Alpay, Daniel (ed.), Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer (ISBN 978-3-0348-0666-4/print; 978-3-0348-0667-1/ebook; 978-3-0348-0668-8/print+ebook; 978-3-0348-0692-3/online (updated continuously)). Springer Reference, 1745-1786 (2015).
Reviewer: Anatoly N. Kochubei (Kyïv)
Canonical transfer-function realization for Schur-Agler-class functions of the polydisk. (English) Zbl 1273.47030
Dym, Harry (ed.) et al., A panorama of modern operator theory and related topics. The Israel Gohberg memorial volume. Basel: Birkhäuser (ISBN 978-3-0348-0220-8/hbk; 978-3-0348-0221-5/ebook). Operator Theory: Advances and Applications 218, 75-122 (2012).
Reviewer: Amol Sasane (Lund)
Realization of multidimensional systems in Fornasini-Marchesini state-space model. (English) Zbl 1234.93030
MSC:
93B15
Singularities of rational functions and minimal factorizations: the noncommutative and the commutative setting. (English) Zbl 1217.47032
Cascade representation and minimal factorization of multidimensional systems. (English) Zbl 1162.93017
Rational functions associated with the white noise space and related topics. (English) Zbl 1203.30051
Rational functions and realization theory: The hyperholomorphic case. (Fonctions rationnelles et théorie de la réalisation: le cas hyper-analytique.) (French. Abridged English version) Zbl 1058.30041
Reviewer: Klaus Habetha (Aachen)
MSC:
30G35
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