Title :
On the structure of a class of nonlinear systems
Author :
Smith, Winthrop, Jr. ; Rugh, Wilson J.
Author_Institution :
Westinghouse Electric Corporation, Baltimore, MD, USA
fDate :
12/1/1974 12:00:00 AM
Abstract :
Nonlinear systems composed of linear dynamic sub-systems 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. Examples are worked in detail to illustrate the results.
Keywords :
Cascade systems; Multivariable functions; Nonlinear systems, continuous-time; Transfer functions; Convolution; Eigenvalues and eigenfunctions; Linear systems; Nonlinear dynamical systems; Nonlinear systems; Power system modeling; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1974.1100710
