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IMA Journal of Mathematical Control and Information 2001 18(3):325-339; doi:10.1093/imamci/18.3.325
© 2001 by Institute of Mathematics and its Applications
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A stability result for ‘separable’ nonlinear discrete systems

Stelios Kotsios1 and Dionyssios Lappas2

1 Department of Economics, University of Athens, 8 Pesmazoglou Str., 10559 Athens, Greece 2 Department of Mathematics, University of Athens, 15784 Athens, Greece

The aim of this paper is the formulation of a stability result concerning a specific class of nonlinear discrete systems. It is mainly based on a proper algebraic framework and the fact that certain nonlinear systems remain invariant under the ‘star-product’, an operation developed for the description of the time evolution of these systems.

Keywords: nonlinear; discrete; polynomial systems; stability; BIBO stability.


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