, Erweiterung von Gruppen und ihren Isomorphismen, Mathematische Zeitschrift, vol.160, issue.1, pp.375-416, 1934.
DOI : 10.1007/BF01170643
, Equivalence to Smith form over a multivariate polynomial ring, Proceedings of the 4 th International Workshop on Multidimensional Systems, pp.259-262, 2005.
, Reduction of linear systems based on Serre's theorem, Proceedings of MTNS 2008, pp.7-8
, Non-commutative Elimination in Ore Algebras Proves Multivariate Identities, Journal of Symbolic Computation, vol.26, issue.2, pp.187-227, 1998.
DOI : 10.1006/jsco.1998.0207
URL : https://hal.archives-ouvertes.fr/inria-00073891
, Effective algorithms for parametrizing linear control systems over Ore algebras, Applicable Algebra in Engineering, Communication and Computing, vol.16, issue.5, pp.319-376, 2005.
DOI : 10.1007/s00200-005-0188-6
URL : https://hal.archives-ouvertes.fr/inria-00071407
, OreModules: A symbolic package for the study of multidimensional linear systems Applications of Time-Delay Systems, LNCIS 352, pp.233-264, 2007.
, Factoring and decomposing a class of linear functional systems, Linear Algebra and its Applications, vol.428, issue.1, pp.324-381, 2008.
DOI : 10.1016/j.laa.2007.07.008
URL : https://hal.archives-ouvertes.fr/hal-00320424
, OreMorphisms: A homological algebraic package for factoring and decomposing linear functional systems Topics in Time-Delay Systems: Analysis, Algorithms and Control, LNCIS 388, pp.179-196, 2009.
, Serre's reduction of linear systems of partial differential equations based on holonomy
, Commutative Algebra with a View Toward Algebraic Geometry, Graduate Texts in Mathematics, vol.150, 1995.
, Applications of the Quillen-Suslin theorem in multidimensional systems theory. Gröbner Bases in Control Theory and Signal Processing, Radon Series on Computation and Applied Mathematics 3, de Gruyter publisher, pp.23-106, 2007.
, with its Smith form, International Journal of Control, vol.28, issue.5, pp.665-671, 1978.
DOI : 10.1080/00207177808922487
, Equivalence of matrices over R[s, z] : a counter-example, International Journal of Control, vol.28, issue.6, pp.1225-1226, 1981.
DOI : 10.1080/00207178108922596
, Some further results concerning matrices with elements in a polynomial ring, International Journal of Control, vol.25, issue.5, pp.1534-1555, 1986.
DOI : 10.1109/TCS.1979.1084614
, Stability of Functional Differential Equations, 1986.
, Lectures on Modules and Rings, Graduate Texts in Mathematics, vol.189, 1999.
DOI : 10.1007/978-1-4612-0525-8
, Smith forms over<tex>R[z_{1},z_{2}]</tex>, IEEE Transactions on Automatic Control, vol.28, issue.1, pp.115-118, 1983.
DOI : 10.1109/TAC.1983.1103118
, Obstructions to genericity in the study of parametric problems in control theory. Gröbner Bases in Control Theory and Signal Processing, Radon Series on Computation and Applied Mathematics 3, de Gruyter publisher, pp.127-149, 2007.
, SystèmesSystèmes`Systèmesà coefficients constants, Séminaire Bourbaki, vol.63, pp.1-11, 1962.
, Feedback controllers for a wind tunnel model involving a delay: Analytical design and numerical simulation, IEEE Transactions on Automatic Control, vol.29, issue.12, pp.1058-1068, 1984.
DOI : 10.1109/TAC.1984.1103436
, Tracking control of a vibrating string with an interior mass viewed as delay system, ESAIM: Control, Optimisation and Calculus of Variations, vol.3, pp.315-321, 1998.
DOI : 10.1051/cocv:1998112
, Some examples of linear systems with delays, European Journal of Automation, vol.31, pp.911-925, 1997.
, Multidimensional constant linear systems, Acta Applicandae Mathematicae, vol.26, issue.124, pp.1-175, 1990.
DOI : 10.1007/BF00046908
, Algebraic analysis of linear multidimensional control systems, IMA Journal of Mathematical Control and Information, vol.16, issue.3
DOI : 10.1093/imamci/16.3.275
, Formal Elimination for Multidimensional Systems and Applications to Control Theory, Mathematics of Control, Signals, and Systems, vol.13, issue.3, pp.193-215, 2000.
DOI : 10.1007/PL00009867
, The Fractional Representation Approach to Synthesis Problems: An Algebraic Analysis Viewpoint Part I: (Weakly) Doubly Coprime Factorizations, SIAM Journal on Control and Optimization, vol.42, issue.1, pp.42-266, 2003.
DOI : 10.1137/S0363012902417127
, Purity filtration of 2-dimensional linear functional systems
, Purity filtration of of linear systems of partial differential equations in two independent variables, 2010.
, Computation of bases of free modules over the Weyl algebras, Journal of Symbolic Computation, vol.42, issue.11-12, pp.1113-1141, 2007.
DOI : 10.1016/j.jsc.2007.06.005
URL : https://hal.archives-ouvertes.fr/inria-00070235
, On the Baer extension problem for multidimensional linear systems , INRIA report 6307, 2007.
, Baer's extension problem for multidimensional linear systems, Proceedings of MTNS 2008
, Controllability and differential flatness of linear analytic ordinary differential systems
, State-Space and Multivariable Theory, IEEE Transactions on Systems, Man, and Cybernetics, vol.2, issue.2, 1970.
DOI : 10.1109/TSMC.1972.4309115
, An Introduction to Homological Algebra, 2009.
DOI : 10.1007/b98977
, Sur les modules projectifs, Oeuvres , Collected Papers, pp.23-34, 1960.
DOI : 10.1007/978-3-642-37726-6_48
, Topics in Multidimensional Linear Systems Theory, Lecture Notes in Control and Information Sciences, vol.256, 2000.