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e mT s ) = W k (mT s ) − C k (mT s ) is the error, i.e., the difference, at a sampling instant, between the reference (set value) or the desired delay of class k (the desired delay ratio between class k and k-1) and the system response or the measured delay of class k (measured delay ratio between class k and k-1.
The effect of different types of non-dominant poles and the corresponding stability regions are obtained for nine test-bench processes indicating different levels of open-loop damping and lag to delay ratio.
So the delay ratio of the optimization strategy in this paper to the previous strategy is given by varphi =frac{sum limits_{i=1}^nvarpi left({tau}_iright)}{nvarpi left({tau}_{mathrm{opt}}right)}.
Therefore, the delay ratio is: varphi =frac{sum limits_{i=1}^nvarpi left({tau}_{1,i}right)+{sum}_{i=2}^nvarpi left({tau}_{i,n}right)}{left(2n-1right)varpi left({tau}_{mathrm{opt}}right)}.
Table 2 Variables of the feedback control scheme AD RD Reference W k Desired delay of class k Desired delay ratio between class k and k - 1 Output C k (V) Measured delay of class k Measured delay ratio between class k and k - 1 Control input B k (U) Process budget of class k Ratio between the process budgets of classes k and k.
The proposed algorithm considers the retrieval time of the document from servers in addition to the frequency of references to the document, the document size, and an ageing factor and maximizes a performance metric called Communication Delay Ratio (CDR .1 The new algorithm has been tested and compared to the existing policies such as, LRU, LFU, LNC-R-W3, and Greedy-Dual-Size Frequency.
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The dynamics of SV turning is governed by a time periodic delay differential equation (DDE) where the time-period/time-delay ratio (TPTDR) can be arbitrary.
We obtained the uptake ratio from each scan and calculated the retention index:uptake ratio = region of interest uptake/contralateral normal lung uptake; retention index = (delayed ratio - early ratio)/early ratio.
For example, Fan and Li [27] made a theoretical discussion on the permanence of a delayed ratio-dependent predator-prey model with Holling-type functional response.
In view of periodicity of the actual environment, Huo and Li [12] investigated a more general delayed ratio-dependent predator-prey model with periodic coefficients of the form (1.3).
The principle aim of this paper is to systematically unify the existence of periodic solutions for a delayed ratio-dependent predator-prey system with functional response and diffusion modeled by ordinary differential equations and their discrete analogues in form of difference equations and to extend these results to more general time scales.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com