Searching for authors named "Alexandre Sedoglavic" – sorted by Relevance.
5 documents found, showing 1 through 5.
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A Mixed Symbolic-Numeric Method to Study Prime Ordinary Differential Ideals
- …We show that the differential dimension polynomial associated to a prime ordinary differential ideal can be determined fast by a mixed symbolic-numeric algorithm under some genericity hypotheses. Moreover, we show how this computation is related to the notions of differentiation index and constraint…
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A Generalization of Flatness to Nonlinear Systems of Partial Differential Equations. Application to the Command of a Flexible Rod
- …We introduce a concept of differential flatness for systems described by nonlinear partial differential equations. It generalizes the now classical notion of differential flatness for finite differential systems and its recent extensions to linear partial differential equations. We apply it to the m…
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The differential Hilbert function of a differential rational mapping can be computed in polynomial time
- …We present a probabilistic seminumerical algorithm that computes the differential Hilbert function associated to a differential rational mapping. This algorithm explicitly determines the set of variables and derivatives which can be arbitrarily fixed in order to locally invert the differential mappi…
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A probabilistic algorithm to test local algebraic observability in polynomial time
- …in polynomial time…
- Cited by 8 (1 self) – Add To MetaCart
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Aminoglycoside Nephrotoxicity: Modeling, Simulation and Control
- …The main constraints to the administration of aminoglycosides are risks of nephrotoxicity and ototoxicity which can lead to acute, renal and vestibular failure. In this article we will focus on nephrotoxicity. No reliable predictor of nephrotoxicity has been found to date. We have developed a determ…
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