Sentence examples for the restricted cases from inspiring English sources
Our results generalize the previous results on ISS and integral-ISS stabilization to the restricted cases when controls are only allowed to take positive or bounded positive values.
We also make comparisons for the restricted case of binary CSPs.
Hence, in the restricted case, Theorem 2.4 implies that the zero solution of (3.23) is uniformly asymptotically stable if and only if (3.27).
Moreover in the restricted case where, are given by for some with, we know by [7, Proposition 1] that the spectrum of the characteristic operator of (3.23) is given by the formula: (3.26).
The relationship between matching and maximizing behaviors has been often discussed in the restricted case where every choice is independent of the past choices.
This parental age difference persisted for the restricted case definition group (OR 1.19; 95% CI, 1.02 1.39).
For now, aside from the selective and restricted cases in the Balearic Islands and Brazil, the most progressive legal protection for apes is that proposed (but still pending) in the Spanish Parliament in 2008.
While the restriction to a unit time lag may explain why the group structure among temporal variables has been ignored to date (since the issue does not arise for this restricted case), it is clear that if the existing methods were to be extended to encompass additional lags, making effective use of such group structure would be critical.
By contrast to the polynomial time algorithms, we show that the seemingly similar edge- (or arc-) deletion problems where we aim for an Eulerian graph are NP-hard, even in the extremely restricted case when the input is a cubic planar graph and the number of deletions can be arbitrary (Theorem 3).
Noticing that, we know by Theorem 3.6 in the further restricted case that the zero solution of (3.23) is uniformly asymptotically stable if and only if (3.28).
It is only defined for the more restricted case of probabilistic logic programs over conjunctive events.
