Sentence examples for been proved using the from inspiring English sources

The stability and robustness of the proposed controller have been proved using the classic Lyapunov criterion.

The finite time stability has been proved using the Lyapunov theory.

In a big number of control and clustering applications, higher accuracy has been proved using the IT2 fuzzy logic [27].

This existence result has been proved using the index theory (see [18], Theorem II.5.7), and the argument used to prove the positivity of the solution was the maximum principle.

The stability of the EASFSC has been proven using the Lyapunov stability theorem.

The positive effect of folic acid on dermal fibroblast has already been proven using the Host Cell Reactivation Assay.

Furthermore, accurate prediction of how the spine responds under complex loads has been proven using the lumbar spine modeled by poroelastic material [ 11, 18– 218.

First, if the quality of Chinese generic products has been proven, using the quality consistency evaluation, to be significantly similar to the original drugs, the pricing gap between the off-patent originators and generics will be reduced (Policy 1).

The next lemma is proved using the phase spaces axioms.

The last equality can be proved using the polar decomposition.

Finally, the semi-global boundedness of the proposed scheme is proved using the Lyapunov stability theory.