The critical diagonal elements, regulator gain coefficients and form of the space-average sensors are evaluated by applying the sufficient stability criterion which followes from the Gershgorin theorem.
In this case, applying the sufficient condition derived in [37] to model (19) gives the following uniqueness condition: PF M r ( P − 1 ) ( F M r − 1 ) ≥ 2 R ( R − 1 ).
Will's indirect objectifications appear when our minds continue to apply the principle of sufficient reason beyond its general root such as to introduce the forms of time, space and causality, not to mention logic, mathematics, geometry and moral reasoning.
It is a struggle against the close-to-unavoidable tendency to apply the principle of sufficient reason for the purpose of attaining practical knowledge — an application which has for Schopenhauer, the repulsive side-effect of creating the illusion of a world permeated with endless conflict.
Following the same procedure as in the LTPC case in Appendix 2: optimal solution of P ̆ ∗ for LTPC, we can apply the necessary and sufficient KKT conditions and the fact that the fading channel state is continuous, use the opportunistic scheduling structure in (25) and arrive at the optimal power policy summarized in Theorem 2.
Then by applying the BRL, sufficient conditions can be obtained for the asymptotic stabilizability of the uncertain ITDS with a prescribed H∞ performance index.
We therefore can apply the ATKIS geometries with sufficient certainty with regard to the SUA results.
Furthermore, the results showed that it is sufficient to apply the FRP layers only on the boundary elements in the plastic hinge region of the wall.
If an American investor buys an option in the United States on the shares of a foreign company, is this a "purchase or sale" in the United States sufficient to apply the antifraud rules under the Morrison test?
Finally, to demonstrate the efficiency of the method for multiphase transport in porous media, it is shown that it is sufficient to apply the iterative smoothing procedure for the improvement of the localization assumptions only infrequently, i.e. not every time step.
