Expansions for discrete-time nonlinear systems
The author studies systems given by the equations \(x=Av+Cy\), \(w=Dv+By\), \(y=Nx\), where x,y,v,w are functions of discrete time \(t=0,1,...\), with values in \({\mathbb{C}}^ n\); A,B,C,D are linear operators and N is a nonlinear operator. Volterra type representations for the input-output operator \(v\to w\) are presented. Analogous results for continuous-time systems were obtained earlier by the same author [Bell. Syst. Tech. J. 61, 159-199 (1982; Zbl 0503.93032)].
scientific article; zbMATH DE number 3863049
scientific article