Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Ollivier, Francois"'
Autor:
Ollivier, François
Computing analytic B\'ezout 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 here a simple case of special interest: a rod of length $a+b$, insulat
Externí odkaz:
http://arxiv.org/abs/2305.09340
Publikováno v:
Comp. Appl. Math. 43, 135 (2024)
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 saddle Jacobi bound for an ordinary differential system of $n$ equations
Externí odkaz:
http://arxiv.org/abs/2205.14608
Autor:
Ollivier, François
Publikováno v:
ISSAC '22: Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation, ACM Press, July 2022, Pages 499--507
Aircraft models may be considered as flat if one neglects some terms associated to aerodynamics. Computational experiments in Maple show that in some cases a suitably designed feed-back allows to follow such trajectories, when applied to the non-flat
Externí odkaz:
http://arxiv.org/abs/2202.09921
Autor:
Ollivier, François, Sadik, Brahim
Publikováno v:
Turkish Journal of Mathematics: Vol. 46: No. 4, Article 11, 1291-1293 (2022)
A generalization of L{\"u}roth's theorem expresses that every transcendence degree 1 subfield of the rational function field is a simple extension. In this note we show that a classical proof of this theorem also holds to prove this generalization.
Externí odkaz:
http://arxiv.org/abs/2201.11733
Autor:
Ollivier, François
Publikováno v:
Applicable Algebra in Engineering, Communication and Computing 34 (5), 793-885, September 2023
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, we give complete proofs according to Jacobi's arguments. The main re
Externí odkaz:
http://arxiv.org/abs/2109.03620
Autor:
Hashemi, Amir, Ollivier, François
Publikováno v:
Comptes Rendus Math\'ematique 360 (2022) 255-264
We generalize the analog of Buchberger's first criterion, stated by Boulier et al., for detecting useless S-polynomials reductions in the computation of characteristic sets of differential ideals. The original version assumes linear polynomials; this
Externí odkaz:
http://arxiv.org/abs/2107.01909
Publikováno v:
International Journal of Robust and Nonlinear Control, volume 30, Issue 9, p. 3547-3565, Wiley, 2020
We study the set of intrinsic singularities of flat affine systems with $n-1$ controls and $n$ states using the notion of Lie-B\"acklund atlas, previously introduced by the authors. For this purpose, we prove two easily computable sufficient conditio
Externí odkaz:
http://arxiv.org/abs/1902.08280
Autor:
Bussonnière, Adrien, Antkowiak, Arnaud, Ollivier, François, Baudoin, Michaël, Wunenburger, Régis
Many familiar events feature a distinctive sound: paper crumpling or tearing, squeaking doors, drumming rain or boiling water. Such characteristic sounds actually carry a profusion of informations about the fleeting physical processes at the root of
Externí odkaz:
http://arxiv.org/abs/1810.05599
We investigate the automatic differentiation of hybrid models, viz. models that may contain delays, logical tests and discontinuities or loops. We consider differentiation with respect to parameters, initial conditions or the time. We emphasize the c
Externí odkaz:
http://arxiv.org/abs/1706.03549
Autor:
Ollivier, François, Sadik, Brahim
Un sous-syst\`eme de dimension diff\'erentielle au plus 2 d'une extension plate est plate. Si un tel syst\`eme plat est stationnaire, il admet des sorties plates ind\'ependantes du temps. A subsystem of a flat system of differential dimension at most
Externí odkaz:
http://arxiv.org/abs/1702.00264