Generalized Bézout identity.

DOI10.1007/s002000050096zbMath1073.93516OpenAlexW1980137660MaRDI QIDQ1264308

Jean-François Pommaret, Alban Quadrat

Publication date: 1998

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002000050096

zbMATH Keywords

D-moduleControllabilityFormal integrabilityParametrizationJanet sequenceCommutative algebraGeneralized Bézout identity

Mathematics Subject Classification ID

Algebraic methods (93B25) Commutative rings of differential operators and their modules (13N10)

Related Items

Algebraic Theory of Linear Systems: A Survey ⋮ Multidimensional behaviours: an algebraic approach to control theory for PDE ⋮ A differential operator approach to multidimensional optimal control ⋮ Behavioral Systems Theory: A Survey ⋮ Localization and parametrization of linear multidimensional control systems ⋮ Factoring and decomposing a class of linear functional systems ⋮ Computation of bases of free modules over the Weyl algebras. ⋮ Extensions of some results of P. Humbert on Bezout's identity for classical orthogonal polynomials ⋮ Continuous time-varying linear systems ⋮ Module theoretic approach to controllability of convolutional systems ⋮ Key problems in the extension of module-behaviour duality