Sentence examples for a fractional order from inspiring English sources

In this paper we present a fractional order Chua's circuit that behaves chaotically based on the use of a fractional order low pass filter.

We recall the following definitions of a fractional order integral and a fractional order derivative in Caputo's sense, and some basic results of fractional calculus [2, 13].

Also to achieve a desired closed-loop performance, a fractional order pre-filter is employed.

The paper deals with the robust stability analysis of a Fractional Order Interval Polynomial (FOIP) family.

A fractional order PID FOPIDD) control is applied to improve both trajectory tracking and robustness.

This paper presents the design of a fractional order combined model reference adaptive control scheme.

We firstly construct a fractional-order integral sliding surface.

A double-scroll chaotic attractor generated by a fractional-order switched system is presented.

This paper studies the mixed synchronization of a fractional-order chaotic system.

Designing a fractional-order digital differentiator often requires considerably complex mathematical operations and numerical approximations.

Based on unstable dissipative systems (UDS) and a switching law, a fractional-order UDS is proposed.