Sentence examples for been proved based on from inspiring English sources

It has been proved based on Besov space norm theory.

Thereafter, various kinds of investigations have been proved based on different shapes or sizes of metallic resonators.

Dependences which were discovered in research have been proved based on the use of theoretical analysis and empirical generalization of the results of functioning territories that can be classified as innovative.

It has been proved based on statistical data that hydraulic pump has a higher fault probability over other mechanical systems, thus, it is specifically necessary to investigate and conduct fault detection techniques for hydraulic pump.

The body-bar PG algorithm has been proved based on the matroidal property of sparse graphs [ 17, 18, 32].

Then, the asymptotic stability of the system is proved based on the Lyapunov method.

The convergence of the switching control is proved based on state sample trajectories.

The significance of velocity uniformity is proved based on the analysis and experiment.

The stability of the proposed scheme is proved based on the Lyapunov analysis method.

Their robustness is proved based on the proposed Lyapunov equation approach.

The stability of the overall closed-loop system is proved based on Lyapunov theory.