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A simulation study was performed in which the FECRT (based on the arithmetic mean of grouped FEC of the same animals before and after drug administration) was conducted under varying conditions of mean FEC, aggregation of FEC (inversely correlated with k), sample size, detection limit and 'true' drug efficacies.
By using graph theory and the tools of stochastic analysis, sufficient conditions of mean square containment control problems are derived for the second-order multi-agent systems.
By using the graph theory and theory of stochastic analysis, sufficient conditions of mean square containment control for multi-agent systems are derived.
Several sufficient conditions of mean square stability are presented by comparison method with Liapunov function, which include mean square exponential asymptotic stability and mean square non-exponential asymptotic stability.
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Sufficient conditions of mean-square exponential stability for switched stochastic delay systems were presented in [15, 16].
The condition of mean square stability does not emerge directly from the functional solution.
It is pointed out that the condition of mean zero in Theorem 1.1 should be removed.
In fact, the process of estimating (3.9) on page 12 of Yang et al. [8], was used the Lemma 2.2 of Yang et al. [8], which requires the condition of mean zero, but Z i in (3.9) of Yang et al. [8], defined by Z i = I [ X i ≤ ξ p + t A n − 1 / 2 ] − E I [ X i ≤ ξ p + t A n − 1 / 2 ], satisfies the condition of mean zero.
Figure 2 Influence of culture conditions on mean turbidity (±SD).
For the stochastic switching topology case, we obtain a necessary and sufficient condition of mean-square couple-group consensus.
Based on this model, sufficient conditions of the mean square stability of the filtering error system and H∞ filter parameters are achieved.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com