In this paper we solve the problem of realization of response maps for rational systems. Sufficient and necessary conditions for a response map to be realizable by a rational system are presented. The properties of rational realizations such as observability, controllability, and minimality are studied. Finally, we briefly discuss the procedures for checking observability and controllability of rational systems and minimality of rational realizations and the procedure for constructing a rational system realizing a response map.
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CWI
Modelling, Analysis and Simulation [MAS]
Realization and control of rational positive systems
Scientific Computing

Nemcová, J., & van Schuppen, J. (2008). Realization theory for rational systems. Modelling, Analysis and Simulation [MAS]. CWI.