Sentence examples for been proved theoretically that from inspiring English sources

It has been proved theoretically that the relative permeability of each phase in a smooth fracture is only a linear function of its own saturation.

For the first time, it has been proved theoretically that the structure of the spatial time-frequency distribution matrix can be used to estimate the DOA of the signals, which provides theoretical support to study the time-frequency signal processing for later scholars.

It is proved theoretically that tracking errors are ultimately bounded, and control constraints are satisfied.

It is proved theoretically that this MLP-based MPC guarantees globally-bounded closed-loop stability.

It is proved theoretically that the tractions applied on the outer boundary should be in equilibrium.

Based upon this approach, it is proved theoretically that the equilibriums of the MHTGR dynamics are globally asymptotically stable.

It is proved theoretically that the lower-bound of the progress obtained by the second method is greater than that by the first one.

Further, it is proved theoretically that the lower bound of the progress obtained by the proposed method is greater than that by [19].

It is proved theoretically that the lower-bound of the progress is greater when obtained by the second method than by the first one.

It is proved theoretically that the lower bound of the progress obtained by the proposed method is greater than that by Li's method [19].

It is proved theoretically that the synchronization between such noise-perturbed systems can be implemented by choosing a suitable sliding mode surface and designing a sliding mode controller.