Input-output parametric models for nonlinear systems. II: Stochastic nonlinear systems. (English) Zbl 0569.93012

This is a continuation of the material in part I [see the article reviewed above], which gives the basic result of existence of i/o equations under a nondegeneracy assumption on the linear part of the given response (or state space representation). Part 2 is devoted to examples and in particular to a comparison with the global (but implicit, rather than recursive) representations in the reviewer’s work. For some special models (”Wiener” and ”Hammerstein” models of cascades of linear systems and memory free nonlinearities), more explicit constructions are given. Finally, some discussion is included about stochastic versions of the results given in part I.
Reviewer: E.Sontag


93B15 Realizations from input-output data
93C10 Nonlinear systems in control theory
93C55 Discrete-time control/observation systems
62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH)
93E03 Stochastic systems in control theory (general)
93C35 Multivariable systems, multidimensional control systems


Zbl 0569.93011
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