Sentence examples for bounds which can be from inspiring English sources

Here, the necessary condition of optimality leads to a finite-dimensional optimisation problem which extends the problem of Hashin Shtrikman bounds, which can be solved explicitly, as well.

These new representations allow to obtain two kinds of lower bounds, which can be used as bench marks in searching uniform U-type designs.

Therefore, in order to facilitate the applications, we need to find its sharp lower and upper bounds, which can be expressed by the elementary functions.

The set of sufficient conditions is established using the relationship among the random time-varying delay and its lower and upper bounds, which can be easily solved by MATLAB LMI toolbox.

It is shown that the closed loop adaptive system is stable and the tracking errors are guaranteed to be within the pre-specified bounds which can be arbitrarily small.

The forecasts are limited by an upper bound, which can be considered as lessening the transferability to different areas.

Such estimates appear to provide a more stable upper bound, which can be useful in identifying meaningful values of design quantiles.

Uncertain parameters driven by data are modeled as intervals, bounds of which can be easily obtained from a small number of uncertainty information.

Time-varying transmission intervals and delays, by limiting the upper and lower bounds of which, can be described by a two-dimensional convex region.

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.

It allows the explicit computation of adaptive thresholds ensuring a guaranteed robustness with respect to structured and bounded disturbances which can be not only additive but also multiplicative.