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 33 articles , 2 standard articles )

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  1. Bachelier, Olivier; Cluzeau, Thomas; David, Ronan; Yeganefar, Nima: Structural stabilization of linear 2D discrete systems using equivalence transformations (2017)
  2. Bourlès, Henri; Marinescu, Bogdan; Oberst, Ulrich: The injectivity of the canonical signal module for multidimensional linear systems of difference equations with variable coefficients (2017)
  3. Lezama, Oswaldo; Gallego, Claudia: Projective modules and Gröbner bases for skew PBW extensions (2017)
  4. Oberst, Ulrich: A constructive test for exponential stability of linear time-varying discrete-time systems (2017)
  5. Lezama, Oswaldo; Gallego, Claudia: $d$-Hermite rings and skew $PBW$ extensions (2016)
  6. Oberst, Ulrich: Two invariants for weak exponential stability of linear time-varying differential behaviors (2016)
  7. Barakat, Mohamed: On subdirect factors of a projective module and applications to system theory. (2015)
  8. Bourlès, H.; Marinescu, B.; Oberst, U.: Exponentially stable linear time-varying discrete behaviors (2015)
  9. Bourlès, H.; Marinescu, B.; Oberst, U.: Weak exponential stability of linear time-varying differential behaviors (2015)
  10. Cluzeau, Thomas; Quadrat, Alban: A new insight into Serre’s reduction problem (2015)
  11. Robertz, Daniel: Recent progress in an algebraic analysis approach to linear systems (2015)
  12. Antritter, Felix; Cazaurang, Franck; Lévine, Jean; Middeke, Johannes: On the computation of $\pi$-flat outputs for linear time-varying differential-delay systems (2014)
  13. Quadrat, A.; Robertz, D.: A constructive study of the module structure of rings of partial differential operators. (2014)
  14. Robertz, Daniel: Formal algorithmic elimination for PDEs (2014)
  15. Quadrat, Alban: Grade filtration of linear functional systems. (2013)
  16. Cluzeau, Thomas; Quadrat, Alban: Serre’s reduction of linear partial differential systems with holonomic adjoints (2012)
  17. Levandovskyy, Viktor; Schindelar, Kristina: Fraction-free algorithm for the computation of diagonal forms matrices over Ore domains using Gröbner bases (2012)
  18. Li, Ziming; Wu, Min: Transforming linear functional systems into fully integrable systems (2012)
  19. Barakat, Mohamed; Lange-Hegermann, Markus: An axiomatic setup for algorithmic homological algebra and an alternative approach to localization (2011)
  20. Levandovskyy, Viktor; Schindelar, Kristina: Computing diagonal form and Jacobson normal form of a matrix using Gröbner bases (2011)

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