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The differential field associated to a general analytic nonlinear dynamical system

By: Moog, C.H.; Perdon, A.M.; Conte, G.;

1993 / IEEE

Description

This item was taken from the IEEE Periodical ' The differential field associated to a general analytic nonlinear dynamical system ' A rigorous and detailed construction of the differential field K/sub Sigma /(u,y) associated, in a differential-algebraic context, to a nonlinear system Sigma described in state-space form with analytic coefficients is presented. The field K/sub Sigma /(u,y) represents an input-output description of Sigma , and its study is of key importance in problems concerning the input-output behavior of Sigma . Technically, the basic step of the construction of K/sub Sigma /(u,y) consists in proving that the differential ideal associated to the state-evolution equation of Sigma is prime.<>