OreModules

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 42 articles , 2 standard articles )

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  1. Cluzeau, Thomas; Koutschan, Christoph; Quadrat, Alban; Tõnso, Maris: Effective algebraic analysis approach to linear systems over Ore algebras (2020)
  2. Cluzeau, Thomas; Quadrat, Alban: Equivalences of linear functional systems (2020)
  3. Quadrat, Alban (ed.); Zerz, Eva (ed.): Algebraic and symbolic computation methods in dynamical systems. Based on articles written for the invited sessions of the 5th symposium on system structure and control, IFAC, Grenoble, France, February 4--6, 2013 and of the 21st international symposium on mathematical theory of networks and systems (MTNS 2014), Groningen, the Netherlands, July 7--11, 2014 (2020)
  4. Quadrat, Alban; Regensburger, Georg: Computing polynomial solutions and annihilators of integro-differential operators with polynomial coefficients (2020)
  5. Schilli, Christian; Zerz, Eva; Levandovskyy, Viktor: Controlled and conditioned invariance for polynomial and rational feedback systems (2020)
  6. Ushirobira, Rosane; Korporal, Anja; Perruquetti, Wilfrid: Algebraic estimation in partial derivatives systems: parameters and differentiation problems (2020)
  7. Bachelier, Olivier; Cluzeau, Thomas; Yeganefar, Nima: On the stability and the stabilization of linear discrete repetitive processes (2019)
  8. Bachelier, Olivier; Cluzeau, Thomas; David, Ronan; Yeganefar, Nima: Structural stabilization of linear 2D discrete systems using equivalence transformations (2017)
  9. Bourlès, Henri; Marinescu, Bogdan; Oberst, Ulrich: The injectivity of the canonical signal module for multidimensional linear systems of difference equations with variable coefficients (2017)
  10. Lezama, Oswaldo; Gallego, Claudia: Projective modules and Gröbner bases for skew PBW extensions (2017)
  11. Oberst, Ulrich: A constructive test for exponential stability of linear time-varying discrete-time systems (2017)
  12. Lezama, Oswaldo; Gallego, Claudia: (d)-Hermite rings and skew (PBW) extensions (2016)
  13. Mortini, Raymond; Rupp, Rudolf: Reducibility of invertible tuples to the principal component in commutative Banach algebras (2016)
  14. Oberst, Ulrich: Two invariants for weak exponential stability of linear time-varying differential behaviors (2016)
  15. Barakat, Mohamed: On subdirect factors of a projective module and applications to system theory. (2015)
  16. Bourlès, H.; Marinescu, B.; Oberst, U.: Weak exponential stability of linear time-varying differential behaviors (2015)
  17. Bourlès, H.; Marinescu, B.; Oberst, U.: Exponentially stable linear time-varying discrete behaviors (2015)
  18. Cluzeau, Thomas; Quadrat, Alban: A new insight into Serre’s reduction problem (2015)
  19. Robertz, Daniel: Recent progress in an algebraic analysis approach to linear systems (2015)
  20. Antritter, Felix; Cazaurang, Franck; Lévine, Jean; Middeke, Johannes: On the computation of (\pi)-flat outputs for linear time-varying differential-delay systems (2014)

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