Study of the Criteria for the Degrees of Observability, Controllability and Identifiability of the Linear Dynamical Systems

The article is devoted to approaches to determination of the degree of observability, controllability and identifiability of the parameters in the linear dynamical systems. Well-known criteria for determination of the observability, controllability and identifiability of the dynamical objects were presented. Those criteria only allow us to determine, which component of the state vector is observable or controllable better. They can only give a relative assessment of the quality of the observability and controllability ofa specific component ofthe state vector ofthe system, whereas, it is impossible to compare the quantitative characteristics of the state variables and parameters in various systems. Numerical criteria for calculation of the degree of observability and controllability of the state variables, as well as the degree of identifiability of the model parameters of the dynamical objects were researched using the scalar methods. The proposed numerical criteria have a clear physical meaning, and are characterized by simplicity and versatility. They allow us to determine the quality of the observability, controllability and identifiability in a scalar form, which can be very convenient for practical applications.