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- W2038294217 abstract "A class of nonlinear singularly perturbed systems driven by wide-band noise is considered. The asymptotic behavior of the slow variables is studied When the fast variables are sufficiently fast (represented by μ → 0) and the wide-band noise is sufficiently wide (represented by ϵ → 0). A reduced-order Markov model to represent the behavior of the slow variables is derived. It is shown that the slow variables converge weakly to the solution of this reduced-order model as ϵ and µ tend to zero. The coefficients of this reduced-order model depend, in general, on the ratio ϵμ. Special cases where the model is independent of ϵ/μ are explored." @default.
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- W2038294217 date "1982-12-01" @default.
- W2038294217 modified "2023-09-27" @default.
- W2038294217 title "Reduced-order modeling of nonlinear singularly perturbed systems driven by wide-band noise" @default.
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- W2038294217 doi "https://doi.org/10.1109/cdc.1982.268318" @default.
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