Efficient algorithms for geometric control of systems over rings

The computational algebra techniques described in this paper constitute a tool, efficient and easy to implement using the freely available software CoCoA. They open the way to an effective use of the geometric approach in dealing with dynamical systems over rings. Systems with coefficients in a ring can be used to model several interesting classes of dynamical systems such as parameter dependent systems or delay differential systems. The paper describes in detail, how the algorithms contained in the package “control.cpkg” can be used to practically solve decoupling problems for delay differential systems.

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