Sentence examples for some conservativeness from inspiring English sources

(c) The proposed new Lyapunov functional does not depend on time-varying delay (r ( k )), and some conservativeness can be reduced.

In [30, 31], for the sake of converting a nonlinear matrix inequality into a linear matrix inequality, some inequalities such as (-PT^{-1}Pleq-2P+T), which land freedomaynd may lead to some conservativeness for the derived results, were utilized in the discussion of the guaranteed (mathcal{H}_{infty}) performance state estimation problem.

In [32], Jensen's integral inequality, which ignored some terms and may introduce conservativeness to some extent, was employed to estimate the upper bound of the time derivative of the Lyapunov-Krasovskii functional.

Then, ideas that may overcome some of the conservativeness issues (but increasing computational requirements) are discussed.

Now, if a philosophical application requires some violations of Conservativeness to be legitimate, we need an account of the distinction between the two sorts of cases: the legitimate violations of Conservativeness and the non-legitimate ones.

(i) It is plain that some violations of Conservativeness are illegitimate: one cannot make it true by a stipulation that, e.g., Mercury is larger than Venus.

It is shown that the proposed design method can reduce the conservativeness of some existing results.

Secondly, new stability criteria for stochastic systems with time-varying delay are given with less conservativeness than some recent results.

Numerical examples in the last will show that our results have the better performance in conservativeness than some results reported in the literature.

Finally, numerical examples are employed to verify the effectiveness of the proposed methods and to illustrate the significant improvement on the conservativeness of some reported results in the literature.

As can be seen from Figure 6B and D, this 2D χ  vs  χ method (purple circles) also has some slight issues with conservativeness, but from Figure 6A and C, it is clear that this slight conservativeness should be tolerated: the new 2D version outperforms the previous 2D method (the purple circles lies above the green squares, and thus has greater AUC).