This result provides a useful controller convergence guarantee for the first time for the direct HDP design.
This is where modern evolutionary techniques become so useful: their convergence rates are typically less rapidly worsened by increases in the number of variables than those of more traditional methods.
We show that the spectral seminorm is useful to study convergence or divergence of vectorial continued fractions in Banach algebras because such convergence or divergence is related to a spectral property.
On the contrary, its executives argue that being more vertically integrated, supplying its own needs or buying from closely associated group firms, has become enormously useful as digital convergence has blurred product categories.
The next theorem is useful for the convergence analysis.
The following lemma is useful for the convergence analysis in the next section.
This is indeed useful to save convergence time with respect to gradient-based techniques.
First, we give a lemma that is useful for the convergence result.
In Section 2, we summarize some concepts and properties, which are useful for further convergence analysis.
In Section 2, we summarize some basic properties which are useful in the convergence analysis of our method.
