Sentence examples for convergence derived from inspiring English sources

Then we obtain the global convergence derived from Lemmas 8 and 9. Suppose that (A1)–(A5), the error bounds (10)–(12) and (23) hold.

Conditions for convergence were derived in [5], which reveals that convergence and stability are tightly linked to the intersite propagation delays between neighboring BSs.

The proposed approach is analytically shown to converge and the necessary magnitude of perturbations to assure this convergence is derived.

By one of the inequalities, we obtain the convergence rate for the case of geometrically decreasing covariances, which closes to the optimal achievable convergence rate for independent random variables under the Hartman-Wintner law of the iterated logarithm and improves the convergence rate derived by Oliveira (2005) for the above case.

Conditions for the convergence are derived.

Sufficient conditions for ensuring the estimation error convergence are derived employing the LMI framework.

Proof of boundedness of the adaptive laws is offered, and sufficient conditions ensuring exponential convergence are derived.

Conditions for the local convergence are derived and numerical comparisons between different elements of the family are carried out.

Sufficient conditions for convergence are derived and are shown to correspond to realistic material creep properties only in the case of the kinematic method.

Necessary and sufficient conditions on the weights for fifth-order convergence are derived; one more condition than previously published is found.

Moreover, technical conditions for convergence are derived for the variable-gain controlled system and a quantitative performance measure, taking into account both low-frequency tracking properties and high-frequency measurement noise sensitivity, is proposed.