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.
Additional Metadata
Keywords rational systems, realization theory, minimality, controllability, observability
MSC Variable structure systems (msc 93B12), Algebraic methods (msc 93B25), Nonlinear systems (msc 93C10)
THEME Life Sciences (theme 5), Energy (theme 4)
Publisher CWI
Series Modelling, Analysis and Simulation [MAS]
Project Realization and control of rational positive systems
Nemcová, J, & van Schuppen, J.H. (2008). Realization theory for rational systems. Modelling, Analysis and Simulation [MAS]. CWI.