Computational Algebra techniques for linear dynamical systems over rings: State Estimations Problems

Linear delay differential systems can be modeled as systems with coefficients in a suitable ring, so that several design problems can be solved using a geometric approach. To practically compute the solutions obtained for systems over a ring, Computational Algebra techniques must be used. The freely available software CoCoA is an efficient tool and easy to effectively implement the needed algorithms. The paper describes in details how the algorithms contained in the package “control.cpkg” can be used to practically solve State Estimations Problems for delay differential systems.