Sentence examples for order of derivative from inspiring English sources

Compared to the traditional PID controller, in FOPID controller, the order of derivative portion and integral portion is not integer, which provides more flexibility in achieving control objectives.

According to the order of derivative, differential equations can be classified into integer-order and fractional differential equations.

He compared the constraint smoother and unconstrained regression splines and concluded that the former can have better performance when the order of derivative constraints increases.

For example, the maximum projectile range is increasing with the order of derivative for the Caputo approach and, by contrast, it is decreasing with the order of the derivative for our Riemann-Liouville approach.

In principle however, also this strategy can be extended to any number of input channels and any order of derivative, that is, of information content of each single output.

As introduced in former context, most of BLT reconstruction algorithms are gradient-based and could be mainly classified into two groups according to the order of derivative those algorithms concerning with.

4.1, we observe that the order of derivatives has an effect on the stability of model (3).

The generalization of differential calculus to the fractional order of derivatives can be followed back to Leibnitz.

Fractional calculus is an extension of classical calculus that generalizes the order of derivatives and integrals to a non-integer order.

They need not preserve the distinction between dependent, and independent variables, the order of derivatives and the hierarchy of finite-order jet spaces.

The reproducing kernel functions can be represented by piecewise polynomials, and the higher the order of derivatives, the simpler the reproducing kernel function statements.