Sentence examples for under the norm condition from inspiring English sources

But when (||P-Q||<1), this space is trivial, so under the norm condition, W might be (and as we'll see is) invertible.

For a system whose state signal is unavailable and whose coefficient matrices have structured uncertainty, the method gives a controller which satisfies an H∞ norm condition for quadratic stability and the partial pole configuration, under a certain sufficient condition.

then is a class of norms of,, and are Banach space under the norm.

Now we prove the continuity of under the norm.

Therefore, is a contraction mapping under the norm.

forms a Banach space under the norm (2.1).

One of the well-known results is proven by Reich [16] for a nonexpansive mapping T on C, which asserts the weak convergence of the sequence { x n } generated by (1.10) in a uniformly convex Banach space with a Frechet differentiable norm under the control condition ∑ n = 1 ∞ α n ( 1 − α n ) = ∞.

Necessary and sufficient conditions for the existence of H2 ∩ BMOr extensions of analytic functions defined on a zero variety V are given, with control of the norm, under general conditions on V.

We suggest that there are at least three possible explanations for the observed strong (and variable) selection: (i) such selection may be the norm under natural conditions, (ii) it could reflect degraded habitat quality or (iii) it could reflect problems with the current genetic resource.

But Raskob was acting under the norms of the day.

We know, by [15, 16] that under -condition the norm convergence and modular convergence are equivalent, which implies that the norm and modular convergence are also the same when we deal with the -type condition.