Section: New Results

Research axis 1: General annihilators (tools: ALG)

  • Integro-differential equations and integro-differential algebras were studied in [91], presenting new opportunities in nonlinear control theory.

  • Algebraic estimation in partial derivatives systems were studied in [93].

  • An effective version of the algebraic parameter estimation problem has recently been initiated in [73] based on algebraic analysis (module theory, homological algebra) and computer algebra (differential elimination techniques, Gröbner basis methods for noncommutative polynomial rings of ordinary differential operators with polynomial coefficients). The results of [73] have been implemented in the Maple package NonA built upon the package OreModules .