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IMA Journal of Mathematical Control and Information 1985 2(1):71-80; doi:10.1093/imamci/2.1.71
© 1985 by Institute of Mathematics and its Applications
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A New Setting for Polynomial Continuous-Time Systems, and a Realization Theorem

Z. BARTOSIEWICZ

Instytut Matematyki, Politechnika Bialystocka Wiejska 45, Bialystock Poland

The paper deals with polynomial continuous time systems on algebraic manifolds. The main result states that a nonlinear system may be regularly immersed into a polynomial algebraically observable system ifi its observation algebra is finitely generated and regular. We also indicate some perspectives for future work in this direction.


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