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IMA Journal of Mathematical Control and Information 1996 13(4):409-428; doi:10.1093/imamci/13.4.409
© 1996 by Institute of Mathematics and its Applications
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A description of 2-dimensional discrete-time polynomial dynamics

ST. KOTSIOS and DI. LAPPAS

Room 218, Department of Electronic and Electrical Engineering, University College Dublin Belfield, Dublin 4, Ireland.
Department of Mathematics, University of Athens GR-15784, Athens, Greece

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 {delta}-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


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