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The two-time-scale structure allows independent analysis of dynamics in each time scale.
Within the framework of singular perturbations, reduced-order, nonstiff models are derived for the transient evolution in each time scale.
We also derive reduced-order models for the dynamics in each time scale for a prototype residential building.
Employing a nested application of singular perturbation arguments, we propose a method for deriving non-linear, non-stiff, reduced order models for the dynamics in each time scale.
We derive reduced-order models for the dynamics in each time scale and outline a rational controller design framework that accounts for this time scale separation.
The multi-time-scale structure allows independent analysis of the dynamics in each time scale and singular perturbation methods are effectively utilized to establish exponential stability of the equilibrium.
Similar(34)
In particular, if the function f has continuous partial derivatives with respect to each time-scale, then the following holds: ( d f ) ( t ) = ∑ j = 1 p ∂ f ∂ T j ( t ) d T j ( t ).
While each deformation time scale yields a different set of physical properties that describe how the crust and lithosphere responds to loads, there is evidence of a link between them.
Table 4 presents the summary statistics for the calculated differences in UM1 UM2 that were tabulated, respectively, for PM10 and ozone exposure at each indicated time scale.
Twin correlations for each leisure time scale are shown in Table 4. Overall, MZ male and female twins were more similar than same-sex and opposite-sex DZ twins.
The EMD involves the decomposition of a given signal into a series of IMFs, through the sifting process, each with distinct time scale.
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