By using the mean value theorem for vector-valued functions [12], the above equation can be rewritten as (25).
Normalisation was carried out using the mean value of each bile acid.
The statistical analyses for concentration comparisons were performed using the mean value of the two replicates collected in each lake-season combination.
The data at the ends of the time series before smoothing were padded by using the mean value of the remaining data.
Using the Mean Value Theorem and backstepping method, we propose a constructive approach for adaptive NN control design.
As the QCL structure consists of 25% Al0.15Ga0.85As, we model the active region using the mean value of the complex refractive indices, with a mean doping density of 5.3 × 1015 cm−3.
Furthermore, the effect of the cable loosening on the responses of the cables, girder and towers is evaluated using the mean value for three seismic waves.
In order to control this class of systems, the systems are decomposed by using the mean value theory, the unknown functions are approximated by using the neural networks, and Barrier Lyapunov function is introduced.
In particular, the difficulties from distributed time-varying delays and unknown asymmetric saturation nonlinearity are processed by using the mean value theorem for integrals and a Gaussian error function-based continuous differentiable model, respectively.
Using the mean value theorem, we have.
Then using the mean value theorem we get (4.10).
