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Unlike in the first case, the second one allows us to apply bounding functions which can be strictly localized at the boundaries of given bound sets.
Optimal estimates of the limit region have been obtained for various bounding functions.
The robust controllers are synthesized via Lyapunov's direct method and utilize bounding functions on the magnitude of the uncertain terms.
This paper presents a methodology to address combinatorial explosion using a Branch-and-Bound algorithm applied to Dynamic Event Trees DETT), which utilize LENDIT (L – Length, E – Energy, N – Number, D – Distribution, I – Information, and T – Time) as well as a set theory to describe system, state, resource, and response (S2R2) sets to create bounding functions for the DET.
They use term bounding functions as a parametric notion of safety, which can be instantiated with syntactic, semantic or combined safety criteria; this empowers us to generalize and integrate many other notions of safety from the literature, and modular composition of criteria makes future extensions easy.
The upper-Carathéodory and Marchaud right-hand sides are treated separately because in the latter case, the transversality conditions derived by means of bounding functions can be strictly localized on the boundaries of bound sets.
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Central to this method is a bounding function, which is a function of the model and controller parameters.
The convex lower bounding function for BP-ANN model is constructed to perform the α BB algorithm.
The presence of these molecules in the membranes doubles their bounding function with essential metabolic and bioenergetic activities.
The mismatched uncertainties are prescribed by bounded functions.
We now further generalize to (not necessarily bounded) uniformly continuous functions and symbols in the algebra VMO∩L∞ of bounded functions having vanishing mean oscillation on Cn.
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