Publications
2014
Quadrat, A. and Robertz, D.,
A constructive study of the module structure of rings of partial differential operators,
Acta Applicandae Mathematicae 133:1 (2014), pp. 187-234.
2013
Quadrat, A. and Robertz, D.,
Stafford's reduction of linear partial differential systems,
Proceedings of the 5th Symposium on System Structure and Control
(SSSC 2013),
Grenoble, France, 2013, pp. 309-314.
2010
Quadrat, A. and Robertz, D.,
Controllability and differential flatness of linear analytic ordinary differential systems,
Proceedings of the 19th International Symposium on
Mathematical Theory of Networks and Systems
(MTNS 2010),
Budapest, Hungary, 2010,
also in: E. Zerz (ed.),
Algebraic Systems Theory, Behaviors, and Codes, Shaker, 2010, pp. 23-30.
2008
Quadrat, A. and Robertz, D.,
Baer's extension problem for multidimensional linear systems,
Proceedings of the 18th International Symposium on
Mathematical Theory of Networks and Systems
(MTNS 2008),
Virginia Tech, Blacksburg, Virginia (USA), 2008.
Cluzeau, T. and Quadrat, A.,
Factoring and decomposing a class of linear functional systems,
Linear Algebra and its Applications 428 (2008), pp. 324-381.
2007
Chyzak, F., Quadrat, A. and Robertz, D.,
OreModules: A symbolic package for the study of multidimensional linear systems,
in: Chiasson, J. and Loiseau, J.-J. (eds.),
Applications of Time-Delay Systems,
Lecture Notes in Control and Information Sciences, Vol. 352, Springer, 2007,
pp. 233-264.
Quadrat, A. and Robertz, D.,
Computation of bases of free modules over the Weyl algebras,
Journal of Symbolic Computation 42:11-12 (2007), pp. 1113-1141.
Fabiańska, A. and Quadrat, A.,
Applications of the Quillen-Suslin theorem to multidimensional systems theory,
In:
H. Park et G. Regensburger (eds.),
Gröbner Bases in Control Theory and Signal Processing,
Radon Series on Computational and Applied Mathematics 3,
de Gruyter, 2007, pp. 23-106.
2006
Barakat, M. and Robertz, D.,
Computing Invariants of Multidimensional Linear Systems on an Abstract Homological Level,
Proceedings of the 17th International Symposium on
Mathematical Theory of Networks and Systems
(MTNS 2006),
Kyoto, Japan, July 24-28, 2006, pp. 542-559.
Cluzeau, T. and Quadrat, A.,
Using morphism computations for factoring and decomposing general linear functional systems,
Proceedings of the 17th International Symposium on
Mathematical Theory of Networks and Systems
(MTNS 2006),
Kyoto, Japan, July 24-28, 2006, pp. 1829-1857.
Fabiańska, A. and Quadrat, A.,
Flat multidimensional linear systems with constant coefficients are equivalent to controllable 1-D linear systems,
Proceedings of the 17th International Symposium on
Mathematical Theory of Networks and Systems
(MTNS 2006),
Kyoto, Japan, July 24-28, 2006, pp. 560-582.
Quadrat, A. and Robertz, D.,
Constructive computation of flat outputs of a class of multidimensional linear systems with variable coefficients,
Proceedings of the 17th International Symposium on
Mathematical Theory of Networks and Systems
(MTNS 2006),
Kyoto, Japan, July 24-28, 2006, pp. 583-595.
Quadrat, A. and Robertz, D.,
On the Monge problem and multidimensional optimal control,
Proceedings of the 17th International Symposium on
Mathematical Theory of Networks and Systems
(MTNS 2006),
Kyoto, Japan, July 24-28, 2006, pp. 596-605.
2005
Chyzak, F., Quadrat, A. and Robertz, D.,
Effective algorithms for parametrizing linear control systems over Ore algebras,
Applicable Algebra in Engineering, Communication and Computing, 16 (2005), pp. 319-376.
Quadrat, A. and Robertz, D.,
Parametrizing all solutions of uncontrollable multidimensional linear systems,
Proceedings of the 16th IFAC World Congress, Prague, July 4-8, 2005.
Quadrat, A. and Robertz, D.,
On the blowing-up of stably free behaviours,
Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, Seville, Spain.
Quadrat, A. and Robertz, D.,
Constructive Computation of Bases of Free Modules over the Weyl Algebras,
INRIA report No. 5786, 2005.
2004
Chyzak, F., Quadrat, A. and Robertz, D.,
OreModules: A symbolic package for the study of multidimensional linear systems,
Proceedings of the 16th International Symposium on
Mathematical Theory of Networks and Systems (MTNS 2004),
Katholieke Universiteit Leuven, Belgium, July 5-9, 2004.