Sentence examples for mean square synchronization from inspiring English sources
Furthermore, the asymptotic expectation and mean square synchronization error are investigated for the SO-DCTS algorithm when there is Gaussian delay between network nodes.
Finally, we present the asymptotic expectation and mean square synchronization error of the SO-DCTS algorithm when the timing offset between network nodes is Gaussian distributed.
Additionally, we show that the asymptotic mean square synchronization error is lower and upper bounded by several values related to network parameters.
Furthermore, we investigate the asymptotic expectation and mean square synchronization error of the SO-DCTS algorithm when there is Gaussian delay between network nodes.
By using the Lyapunov functional method, some delay-dependent synchronization criteria in terms of linear matrix inequality are proposed to ensure the mean square synchronization between the master system and the slave system.
Using the property of martingale and Gronwally' inequality, we obtain some conditions to guarantee that the complex network can realize mean square synchronization and mean square exponential synchronization, respectively.
Second, by using a novel free-matrix-based integral inequality (FMBII) including well-known integral inequalities as special cases, an exponentially mean-square synchronization criterion is proposed for analyzing the corresponding synchronization error system.
Experimental results also show that usually the genetic oscillators can not achieve mean-square synchronization (see for example [ 1]).
So, we argue that the study of mean-square synchronization is unrealistic (and therefore meaningless) in genetic networks.
But existing experimental results show that usually the genetic oscillators can not achieve mean-square synchronization (see, e.g. experimental results in [ 1] and Appendix B for a theoretical discussion).
For each network topology, the asymptotic mean square time synchronization error is calculated from (48).
