On the structure of a class of nonlinear systems

Nonlinear systems composed of linear dynamic subsystems in cascade with static power nonlinearities are considered. A structure theory is developed based on the representation of input/output behavior by rational functions in several variables. An algorithm is given which solves the minimal complete realization problem for two forms of the representation. A basis for identification of the representation from input/output experiments is also developed. Examples are worked in detail to illustrate the results.