Abstract: This paper presents some considerations on the mathematical description as well as the assay and synthesis systems in state space. The mathematical model of the systems consists of a set of equations describing the system trajectory and how the system behaves from some points of view. After obtaining the mathematical model and transfer matrix, we analysed the system both in terms of controllability and observability, as well as its response in time and frequency. This analysis was facilitated by the use of the Matlab programming environment.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.