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A New Setting for Polynomial Continuous-Time Systems, and a Realization Theorem

Authors:	BARTOSIEWICZ Z.

Affiliation:	Instytut Matematyki, Politechnika Bia $"l"$ ystocka Wiejska 45, Bia $"l"$ ystock Poland

Abstract:	The paper deals with polynomial continuous time systems on algebraicmanifolds. The main result states that a nonlinear system maybe regularly immersed into a polynomial algebraically observablesystem ifi its observation algebra is finitely generated andregular. We also indicate some perspectives for future workin this direction.

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