Sentence examples for exists a gain from inspiring English sources

Then there exists a gain matrix such that is nonnegative and asymptotically stable if and only if is asymptotically stable.

end{aligned} (40) By Theorem 4 there exists a gain matrix (L in mathbb{{R}}^{3times3}) such that IS, AS, and IFSHPS coexist between systems (35) and (37).

For the remainder of the paper we assume that there exists a gain matrix such that is nonnegative and asymptotically stable, where and have the forms of (2.6) and (2.5), respectively.

We are particularly interested in the case when ρ < 0. Lemma 1 Fix w, δ, β, g, I, G 0 ′ > 0. Fix x 0 > 0 so that the ( I − x 0 ) ρ > 0. Then there exists a gain function G ( z ) satisfying G ( x 0 ) = 1 ρ ( x 0 − I ) (14).

It is shown here that there exists a POF gain for sliding mode to occur for any controllable and observable Delta operator system.

Then Theorem 1 assures that there exists a feedback gain matrix K so that systems (3.11) and (3.12) realize the synchronization.

"Opportunistic" here means the probability that there exists a user whose instantaneous channel gains are close to matching the current powers and phases allocated at the transmit antennas.

Also, it is important to gain knowledge whether there exists a 3-months window for intervention, as indicated by longitudinal cohort studies of recovery after whiplash injury [ 7].

A possibility exists that financial gain may be realized if α-TEA is successfully developed for clinical use.

However, there still exists some gain in studying the estimated sizes and directions, particularly when the obtained standard deviations are also considered.

If there exists the gain matrix ({Gamma } in {{R}^{{m} times {r}}}) such that the matrix (E + BGamma C) is nonsingular and rho = Vert {I - Gamma Ctilde{B}} Vert < 1, (3) where (tilde{B} ={(E + BGamma C ^{ - 1}}B).