Observability and Identifiability of Nonlinear Dynamical Systems with an Application to the Optimal Control Model for the Human Operator.

摘要

Two very important and fundamental topics in the theory of dynamical systems are observability and identifiability. There has been limited work on the observability and identifiability of nonlinear dynamical systems. This problem is addressed by viewing the observation process as a nonlinear mapping of the initial states (and parameters) to the output measurements. The problem of observability and identifiability is then reduced to finding conditions under which the nonlinear mapping is one-to-one. (Author)