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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

Citations:

Zbl 0592.00038