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For these the trajectory of any system variable can be calculated by solving a difference equation in which the "flat output" and its arbitrarily delayed derivatives occur as parameters.
We did not consider the first peak of amplitude as the end of the reach phase, because the objective of the participant was to stabilize the amplitude within the target and the first peak could be arbitrarily delayed (e.g., the amplitude increases slowly during the stabilization period).
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This shows that we can arbitrarily delay the moment when we consider a peak for merging as long as we respect the three merging rules.
Today, bureaucratic hurdles can turn naturalization into a decades-long ordeal--which arbitrarily delays the enfranchisement of those in our community who often have the most to lose.
Due to the presence of nondeterministic and unbounded message delays, messages can get delayed arbitrarily, which makes the synchronization very difficult in WSNs [2].
Two different kinds of communication delay cases, including time-varying delays and arbitrarily bounded delays are investigated.
In this paper, we first construct an example to show that, in the presence of purely imaginary poles, the linear delay independent TPF in general cannot stabilize the system for an arbitrarily large delay.
For example, if two pins of NAND2 have different delay-parameters, while the binding of pins to node inputs is selected arbitrarily, the delay properties will not be preserved.
The plant has an arbitrary number of unstable eigenvalues and arbitrarily long delay, with an unbounded input operator.
Under realistic conditions a small delay in the coupling can give rise to an essential instability: the linearisation has infinitely many unstable eigenvalues for arbitrarily small delay.
We present a numerical algorithm to compute the strong H-infinity norm for DDAEs which is robust to arbitrarily small delay perturbations, unlike the standard H-infinity norm.
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CEO of Professional Science Editing for Scientists @ prosciediting.com