zbMATH — the first resource for mathematics

A generalized technique for spectral analysis of nonlinear systems. (English) Zbl 0669.93077
A generalized method for the identification of a large range of nonlinear systems subjected to random excitation is proposed. The method is restricted to single input/output systems and is based on existing techniques for multiple input/output systems. Formulae for the implementation of the technique are given and the method is applied to the vibration of a single-degree-of-freedom system subjected to a turbulent buffeting force and to the analysis of a Duffing oscillator subject to random excitation. For both cases the results are remarkably good.

93E12 Identification in stochastic control theory
93C10 Nonlinear systems in control theory
93E25 Computational methods in stochastic control (MSC2010)
93B15 Realizations from input-output data
Full Text: DOI