Conte, G.; Di Benedetto, M. D.; Isidori, A.; Perdon, A. M. An input-output characterization of the structure at infinity for a nonlinear system. (English) Zbl 0618.93008 Theory and applications of nonlinear control systems, Sel. Pap. 7th Int. Symp. Math. Theory Networks Syst., Stockholm 1985, 301-312 (1986). [For the entire collection see Zbl 0592.00038.] Assume that the input-output behavior of a nonlinear system is given in terms of a generating series c. We develop an algorithmic procedure which allows to compute the structure at infinity of the system directly in terms of the coefficients of c. MSC: 93B15 Realizations from input-output data 16W60 Valuations, completions, formal power series and related constructions (associative rings and algebras) 93C10 Nonlinear systems in control theory 93C15 Control/observation systems governed by ordinary differential equations Keywords:input-output behavior; nonlinear system; generating series; algorithmic procedure; structure at infinity Citations:Zbl 0592.00038 PDFBibTeX XML