On the axiomatic theory of identification of dynamic systems. II: Identification of linear systems
The authors continue the investigation of the general model of a set-theoretic description of identification processes for mathematical models of dynamic systems. Namely, they aim at the efficiency of the model and at the application to linear dynamic systems. One of the main results is the formal proof of the fact that an unambiguous determination of the mathematical model of a dynamic object in the class of linear multidimensional systems (described by the vector-matrix differential equation) by the realization of one trajectory is impossible. The constructive technique enables an extension to cover a certain class of nonlinear differential systems.
scientific article; zbMATH DE number 922179