6 citations · 8 across the 4 of their papers we have counts for
5 papers
Does the problem of the Nile have a solution?
Guillaume Chèze, François Ollivier
The problem of the Nile has been stated by R. Fisher in 1936. This problem concerns the fair division of an agricultural land and is the eponymous problem of a general class of pro…
Bézout identities and control of the heat equation
François Ollivier
Computing analytic Bézout identities remains a difficult task, which has many applications in control theory. Flat PDE systems have cast a new light on this problem. We consider he…
Flat singularities of chained systems, illustrated with an aircraft model
Yirmeyahu J. Kaminski, François Ollivier
We consider flat differential control systems for which there exist flat outputs that are part of the state variables and study them using Jacobi bound. We introduce a notion of sa…
Jacobi's Bound. Jacobi's results translated in K{Ö}nig's, Egerv{á}ry's and Ritt's mathematical languages
François Ollivier
Jacobi's results on the computation of the order and of the normal forms of a differential system are translated in the formalism of differential algebra. In the quasi-regular case…
Jacobi's bound and normal forms computations. A historical survey
François Ollivier
Jacobi is one of the most famous mathematicians of his century. His name is attached to many results in various fields of mathematics and his complete works in seven volumes have b…