Linear Control Systems over Ore Algebras OreModules is a Maple implementation of algorithms which compute parametrizations, extension modules (ext), resolutions and other algebraic objects for linear systems of differential equations, time-delay systems, etc. The package OreModules, based on an original program by F. Chyzak and A. Quadrat, is maintained and further developed by A. Quadrat and D. Robertz.

References in zbMATH (referenced in 25 articles , 2 standard articles )

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  1. Oberst, Ulrich: Two invariants for weak exponential stability of linear time-varying differential behaviors (2016)
  2. Bourlès, H.; Marinescu, B.; Oberst, U.: Weak exponential stability of linear time-varying differential behaviors (2015)
  3. Bourlès, H.; Marinescu, B.; Oberst, U.: Exponentially stable linear time-varying discrete behaviors (2015)
  4. Cluzeau, Thomas; Quadrat, Alban: A new insight into Serre’s reduction problem (2015)
  5. Antritter, Felix; Cazaurang, Franck; Lévine, Jean; Middeke, Johannes: On the computation of $\pi$-flat outputs for linear time-varying differential-delay systems (2014)
  6. Quadrat, A.; Robertz, D.: A constructive study of the module structure of rings of partial differential operators. (2014)
  7. Robertz, Daniel: Formal algorithmic elimination for PDEs (2014)
  8. Quadrat, Alban: Grade filtration of linear functional systems. (2013)
  9. Cluzeau, Thomas; Quadrat, Alban: Serre’s reduction of linear partial differential systems with holonomic adjoints (2012)
  10. Levandovskyy, Viktor; Schindelar, Kristina: Fraction-free algorithm for the computation of diagonal forms matrices over Ore domains using Gröbner bases (2012)
  11. Li, Ziming; Wu, Min: Transforming linear functional systems into fully integrable systems (2012)
  12. Barakat, Mohamed; Lange-Hegermann, Markus: An axiomatic setup for algorithmic homological algebra and an alternative approach to localization (2011)
  13. Levandovskyy, Viktor; Schindelar, Kristina: Computing diagonal form and Jacobson normal form of a matrix using Gröbner bases (2011)
  14. Levandovskyy, Viktor; Zerz, Eva; Schindelar, Kristina: Exact linear modeling using Ore algebras (2011)
  15. Wolf, T.: The parametric solution of underdetermined linear ODEs (2011)
  16. Boudellioua, M.S.; Quadrat, A.: Serre’s reduction of linear functional systems. (2010)
  17. Kotta, Ülle; Kotta, Palle; Halás, Miroslav: Reduction and transfer equivalence of nonlinear control systems: unification and extension via pseudo-linear algebra (2010)
  18. Quadrat, Alban; Robertz, Daniel: Controllability and differential flatness of linear analytic ordinary differential systems (2010)
  19. Cluzeau, Thomas; Quadrat, Alban: Factoring and decomposing a class of linear functional systems (2008)
  20. Chyzak, Frédéric; Quadrat, Alban; Robertz, Daniel: OreModules: A symbolic package for the study of multidimensional linear systems (2007)

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Further publications can be found at: http://wwwb.math.rwth-aachen.de/OreModules/index_publ.html