A New Setting for Polynomial Continuous-Time Systems, and a Realization Theorem
- 1 March 1985
- journal article
- research article
- Published by Oxford University Press (OUP) in IMA Journal of Mathematical Control and Information
- Vol. 2 (1) , 71-80
- https://doi.org/10.1093/imamci/2.1.71
Abstract
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.Keywords
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