This paper deals with recursive continuous-time system identification using fractional-order models. Long-memory prediction error method is proposed for estimation of all parameters When differentiation orders are assumed known, least squares and methods, being direct extensions to models the classic methods used integer-order models, compared our new method, long-memory method. Given property ...

We introduce a formulation for the time-optimal control problems of systems displaying fractional dynamics in the sense of the Riemann-Liouville fractional derivatives operator. To propose a solution to the general time-optimal problem, a rational approximation based on the Hankel data matrix of the impulse response is considered to emulate the behavior of the fractional differentiation operato...

Analysis of analog filter of fractional order is the main objective of this paper. The basics of fractance device are studied. Rational approximation of fractional order operator using continued fraction expansion is carried out. Analytical expressions of the differentiator operator for different input signals have been developed and simulated in MATLAB software and corresponding simulation res...

this paper deals with continuous-time system identification using fractional differentiation models in a noisy output context. The simplified refined instrumental variable for continuous-time systems (srivc) is extended to fractional models. Monte Carlo simulation analysis are used to demonstrate the performance of the proposed optimal instrumental variable scheme.

Fractional calculus; Conformable operators; Calculus on time scales Abstract A conformable time-scale fractional calculus of order a 2 0; 1 is introduced. The basic tools for fractional differentiation and fractional integration are then developed. The Hilger timescale calculus is obtained as a particular case, by choosing a 1⁄4 1. a 2015 The Authors. Production and hosting by Elsevier B.V. on ...

Two novel methods for image feature extraction based on fractional differentiation are presented in this paper. The first method is the feature extraction of fusing multi-direction CRONE operators. In this method, the fractional differential CRONE mask is generalized to eight directions at first for extracting image features; then the extracted features are tested by the statistic method and fu...