From the equalities above together with the initial condition (11) and assumption (ii), we can show by induction on h that u t k N ∣ t = 0 = 0 for k = 0, …, h.
In the presented scheme, many restrictive conditions, such as Lipschitz assumption, SPR (strictly positive realness) condition and contracting assumption are not required with the help of neural network parametrization.
5.4.1 Process Conditions and Assumptions.
However, various sufficient conditions and assumptions are required to ensure the relaxation exactness in the existing literatures.
However, the prevailing conditions and assumptions which originally gave rise to the GEA concept have changed significantly over time, giving rise to an increasing demand for a focus on response options and policies.
However, it has been discussed that under certain conditions and assumptions this model might predict too high transpiration rates, which are not in agreement with the assumed stress reduction function.
The analysis results employing conservative initial/boundary conditions and assumptions show that the safety systems of the SMART conceptual design adequately remove the core decay heat and mitigate the consequences of the limiting accidents, and thus secure the plant to a safe condition.
The method has a set of defined experimental conditions and assumptions that cannot be violated, however, or erroneous results can be obtained.
