Sentence examples for is proved through from inspiring English sources

Stability of the controller is proved through use of Liapunov theory.

The leakage is not detected and therefore excellent seal performance is proved through tests as well.

Effectiveness of the proposed method is proved through a few 2D and 3D numerical case studies.

The feasibility of the developed optimization method is proved through numerical examples.

The functionalization of TiO2 is proved through Fourier transform infrared spectroscopy and Thermogravimetric analysis.

The validity of the methodology developed in this paper is proved through the use of a real problem.

The fundamental idea is proven through finite element simulations using the COMSOL Multiphysics software.

Stability of the closed-loop system is proven through another Lyapunov function.

Finally, the effectiveness of the proposed method is proven through simulation examples.

The control scheme is established from the derived dynamic equation which stability is proven through Lyapunov theorem.

The feasibility of this method is proven through concrete use cases involving four maintenance processes and their simulation.