Realization theory of continuous-time pseudo linear systems

Continuous-time systems are discussed. It is known that modeling problems are very important for simulation and control. However, for non-linear systems the problems have not been solved fully. The realization theorem of general non-linear input/output maps has already been obtained using affine dynamical systems as models for it. Based on the above theorem, we will classify the affine dynamical systems. Therefore we will introduce new models that are the sub-class of the systems, which are pseudo-linear systems. And we will obtain the realization theorem for the new models