The strong Popov form of nonlinear input–output equations

The strong Popov form of nonlinear input–output equations

The equivalence transformations are applied to bring a system of nonlinear input--output (i/o) equations into a nonlinear equivalent of the Popov form, called the strong Popov form, under the assumption that the i/o equations already are in the strong row-reduced form. Key words: discrete-time syste...

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Veröffentlicht in:Proceedings of the Estonian Academy of Sciences 2018-09, Vol.67 (3), p.193-206
Hauptverfasser: Bartosiewicz, Zbigniew, Pawluszewicz, Ewa, Wyrwas, Malgorzata, Kotta, Ulle, Tonso, Maris
Format: Artikel
Sprache:eng
Schlagworte:
Equivalence
Mathematical analysis
Mathematical research
Nonlinear differential equations
Nonlinear equations
Transformations (Mathematics)
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Beschreibung
Zusammenfassung:The equivalence transformations are applied to bring a system of nonlinear input--output (i/o) equations into a nonlinear equivalent of the Popov form, called the strong Popov form, under the assumption that the i/o equations already are in the strong row-reduced form. Key words: discrete-time systems, input--output models, non-commutative polynomials, strong Popov form.
ISSN:1736-6046
1736-7530
DOI:10.3176/proc.2018.3.01