Continuity of latent variable models

The continuity of the behavior of dynamical systems is studied as a function of the parameters in their behavioral equations. The problem is motivated by an RLC circuit whose port behavior exhibits a discontinuity as a function of the numerical values of the elements in the circuit. The main result is that a system described by difference equations involving manifest (external) and latent (internal) variables will have a continuous behavior in the limit if the limit system is observable.<>