Sentence examples for fractional law from inspiring English sources

It can be used in classes to introduce many control strategies, from simple singleinput- single-output PID control to a complex multi-input-multi-output, multi-agent, fault-tolerant, fractional law control.

These behaviors are due to the power law behavior of the spectral density and lead, for arbitrary pulling forces, based on causality and the linear superposition principle, to fractional calculus expressions, in accordance to former phenomenological fractional laws in polymer physics.

Long-range interactions have been given a fractional constitutive law, involving the Caputo's fractional derivative.

In Section 2, we recall some concepts and some fractional calculation law and establish preparation results.

Chen et al. studied the transient responses of an axially accelerating viscoelastic string constituted by the fractional differentiation law [8].

Next, the fractional adaptive law is designed to tune the feedback gain matrix K of system (3.3).

This agrees with the fractional Fick law: a large order of fractional derivative in fractional diffusion processes implies slow diffusion [43 45].

Moreover, it is shown that, for homogeneous beam both correspondence principles also hold in the case of Euler Bernoulli beam with fractional constitutive law.

The paper aims at studying the effects of the inherent fractional constitutive law of viscoelastic bearings used as devices for tuned mass dampers.

The F-SNPK model was derived considering a fractional-space law for the neutron density current where the differential operator is the fractional order (FO), also known as anomalous diffusion exponent.

Fractional power-law nonlinear drift arises in many applications of engineering interest, as in structures with nonlinear fluid viscous elastic dampers.