caa a22 4500 397558740 CHVBK 20180308164810.0 cr unu---uuuuu 161202e199612 xx s 000 0 eng 10.1093/imamci/13.4.409 doi (NATIONALLICENCE)oxford-10.1093/imamci/13.4.409 A description of 2-dimensional discrete-time polynomial dynamics [Elektronische Daten] [ST. KOTSIOS, DI. LAPPAS] A new algebraic method for the description of 2-D nonlinear polynomial discrete systems is developed via so-called generalized mixed operators. These operators are a generalization of δ-operators to include two-dimensional discrete polynomial systems containing cross products. Series of these operators are also introduced, and their invertibility is investigated. This description is applied to certain examples from control theory and nonlinear dynamics © Oxford University Press Articles nationallicence KOTSIOS ST Department of Mathematics, University of Athens GR-15784, Athens, Greece aut LAPPAS DI Department of Mathematics, University of Athens GR-15784, Athens, Greece aut IMA Journal of Mathematical Control and Information Oxford University Press 13/4(1996-12), 409-428 0265-0754 13:4<409 1996 13 imamci https://doi.org/10.1093/imamci/13.4.409 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/imamci/13.4.409 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- KOTSIOS ST Department of Mathematics, University of Athens GR-15784, Athens, Greece aut NATIONALLICENCE 700 1- LAPPAS DI Department of Mathematics, University of Athens GR-15784, Athens, Greece aut NATIONALLICENCE 773 0- IMA Journal of Mathematical Control and Information Oxford University Press 13/4(1996-12), 409-428 0265-0754 13:4<409 1996 13 imamci Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford