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Therefore, Lemma 3.2 together with (25) give bound (22).
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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.
Theorem 4.3 tells us that every given bound of l p in a convex-geometric form yields another bound of l p in an analogs, but different, form.
Similarly, the main difference between our results and those in [9, 13] consists in the application of a continuation principle jointly with a bound sets approach, which allows us to check fixed point free boundaries of given bound sets.
One year, Hawke and his wife gave bound copies of the rules to their children as a Christmas present.
The required transversality conditions are strictly localized on the boundaries of given bound sets.
Workstation times are computed taking into account processing and setup times for operations and must not exceed a given bound.
Furthermore, the calculated thrust is kept below a given bound, which can also be minimized according to specific requirements.
The advantage is that, for example, a faster response can be obtained, for a given bound on the control input.
The paper shows that, for a given bound on the disturbances, the recursive feasibility is guaranteed if the sampling interval is properly chosen.
The cycle times of workstations are computed taking into account the processing and setup times of operations and must not exceed the given bound.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com