Sentence examples for using the stochastic analysis from inspiring English sources

Firstly we have constructed the control function by using the stochastic analysis technique, it is very important for us to study the approximate controllability.

By using the stochastic analysis theory and differential inequality technology, we firstly obtain sufficient conditions for persistence in the mean and extinction.

By using the stochastic analysis techniques and novel integral inequalities, some sufficient conditions for the solvability of the addressed problem are derived.

A new set of sufficient conditions is obtained to achieve the required result by using the stochastic analysis theory and fixed point strategy.

In the stochastic case, by using the stochastic analysis technique and the methods directly from deterministic control problems, Sakthivel et al. [12] considered the approximate controllability of fractional stochastic evolution equations.

Subsequently, by using the stochastic analysis techniques, the properties of operator semigroup and combining those new integral inequalities, we will attempt to give the global attracting sets of the considered system.

Based on a hierarchical multiscale approach on the mesoscopic level, in this study we use the stochastic analysis and the computational homogenization method to analyse the effect of thickness and stiffness of the interphase region on the overall elastic properties of the clay/epoxy nanocomposites.

The proposed method is developed in this paper to improve the conventional MPCA-based method by extending the time-domain analysis into the time frequency using the stochastic model analysis.

In the proposed method, the response of a HUSAS is approximated as a linear function of random variables using the stochastic perturbation analysis.

Open image in new window Fig. 13 Sequence of design variables used for the stochastic analysis.

Using the stochastic multi-criteria acceptability analysis (SMAA -TRI method with a modification of a previouSMAA -TRIoped comethodised model for decision support in dredged material management, this study withperformed to test decision support under uncertainty.