Sentence examples for by utilizing the function from inspiring English sources

We propose a novel stability theorem via establishing an extending item on the basis of the stability theorem of fractional nonlinear systems without delay, and prove the theorem by utilizing the function monotonous properties and the stability theorem of fractional linear system without delay.

By utilizing the piecewise function approach and stochastic analysis technique, sufficient conditions are first established to ensure the existence of the desired finite-horizon asynchronous H∞ filter.

The parameter uncertainties in the nonlinear plant can be captured effectively by utilizing the membership functions with upper and lower bounds.

The proposed scheme by utilizing the designed functions includes the designs of the ABS pattern, the pico UE grouping, and the RB allocation.

The new approach presented here describes the ( overrightarrow{E} ) components of the characteristic waves by utilizing the Forsterling functions discussed above.

The vibrations are generated by utilizing the inbuilt functions in the tablet itself and can be felt by the user via his hands which are in contact with the tablet.

Even in children after squint surgeries, they may be trained to develop fixation by utilizing the structure-function knowledge of the retinal areas.

In this paper, the adaptive stability problem of fractional-order systems has been settled by utilizing the fractional Lyapunov function method combined with fractional inequality techniques, the Mittag-Leffler function, and the Laplace transform.

The controller is modified by utilizing the barrier Lyapunov function technique to increase the safety, and to improve functionality of the NN during the system operation.

In this study, the convex linearization is constructed by utilizing the sensitivity and function value of the probabilistic constraint at the MPP.

By utilizing the integral Lyapunov function and introducing an adaptive compensation term for the upper bound of the residual and optimal approximation error as well as the dead-zone disturbance, the closed-loop control system is proved to be semi-globally uniformly ultimately bounded.