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In convex models and interval analysis models, the uncertain quantities are considered to be unknown except that they belong to given sets in an appropriate vector space.
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The fuzzy logic systems are used to model the uncertain nonlinear systems.
A new way of modeling the uncertain wind power injections was presented.
A modified approach for modelling the uncertain aeroelastic response near the boundaries of different regimes of behaviour is also presented.
We model the uncertain demand as a hybrid variable which describes the quantities with fuzziness and randomness.
While Monte Carlo simulation methods may be used to model the uncertain performance of such system, computational efficiency is a great challenge.
In the proposed analysis model, the uncertain parameters with imprecise data are treated as evidence variables, and the belief measure and plausibility measure are employed to evaluate system squeal instability.
As a complement, glider data assimilation was used to directly correct the model: the uncertain tidal mixing parameter is estimated through assimilation of data provided by the 10 coordinated gliders using an ensemble simulation method.
Based on interval mathematics, modeling the uncertain parameters as interval numbers, a non-probabilistic interval analysis method, which estimates the range of the nonlinear dynamic response with the help of Taylor series expansion, is presented, where the partial derivatives of the dynamic response with respect to uncertain parameters are considered to be interval numbers.
Assuming second order random fields to be appropriate for modelling the uncertain variations along the spatial extent in the macro-scale, statistical tests have been carried out to examine the suitability of some commonly used models for the probability density function for the various mechanical properties of the material.
To model the uncertain factors, a normal distribution [16] is applied to describe the active and reactive load in the power system and the gas load in the natural gas system.
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