Results 21 to 30 of about 20,855,140 (305)

Fractional transformations of generalised functions [PDF]

open access: yes, 2009
A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson   +2 more
core   +3 more sources

Pointwise completeness and pointwise degeneracy of fractional standard and descriptor linear continuous-time systems with different fractional orders

open access: yesInternational Journal of Applied Mathematics and Computer Science, 2020
Descriptor and standard linear continuous-time systems with different fractional orders are investigated. Descriptor systems are analyzed making use of the Drazin matrix inverse.
Kaczorek Tadeusz, Sajewski Łukasz
doaj   +1 more source

Linear filtering with fractional Brownian motion in the signal and observation processes [PDF]

open access: yes, 1999
Integral equations for the mean-square estimate are obtained for the linear filtering problem, in which the noise generating the signal is a fractional Brownian motion with Hurst index h∈(3/4,1) and the noise in the observation process includes a ...
Kloeden, Peter E.   +2 more
core   +1 more source

Parametric Identification of Nonlinear Fractional Hammerstein Models

open access: yesFractal and Fractional, 2019
In this paper, a system identification method for continuous fractional-order Hammerstein models is proposed. A block structured nonlinear system constituting a static nonlinear block followed by a fractional-order linear dynamic system is considered ...
Vineet Prasad   +2 more
doaj   +1 more source

Fractional power NARX model identification using a harmony search algorithm [PDF]

open access: yes, 2012
A novel type of discrete-time fractional-powernonlinear autoregressive with exogenous input (FPNARX) modelis introduced for system identification, modeling and prediction.Parameter estimation of such a model is a nonlinear optimizationproblem.
Zhao, Yifan   +7 more
core   +1 more source

Optimal design for fractional-order active isolation system

open access: yesAdvances in Mechanical Engineering, 2015
The optimal control of fractional-order active isolation system is researched based on the optimal control theory, and the effect of fractional-order derivative on passive isolation system is also analyzed.
Hao You, Yongjun Shen, Shaopu Yang
doaj   +1 more source

On the output regulation for linear fractional systems

open access: yesTURKISH JOURNAL OF ELECTRICAL ENGINEERING & COMPUTER SCIENCES, 2019
In this work, the regulation problem is extended to the field of fractional-order linear systems considering the Caputo fractional derivative. The regulation equations are obtained on the basis of the Francis equations. It is also shown that the linear fractional regulator exists at $t=0$ only if the order of the plant is not greater than the order of ...
Jesús Alberto Meda-Campaña   +5 more
openaire   +2 more sources

Equation governing the probability density evolution of multi-dimensional linear fractional differential systems subject to Gaussian white noise

open access: yesTheoretical and Applied Mechanics Letters, 2023
Stochastic fractional differential systems are important and useful in the mathematics, physics, and engineering fields. However, the determination of their probabilistic responses is difficult due to their non-Markovian property.
Yi Luo   +3 more
doaj   +1 more source

Simulation of fractionally damped mechanical systems by means of a Newmark-diffusive scheme [PDF]

open access: yes, 2010
A Newmark-diffusive scheme is presented for the time-domain solution of dynamic systems containing fractional derivatives. This scheme combines a classical Newmark time-integration method used to solve second-order mechanical systems (obtained for ...
Matignon, Denis, Deü, Jean-Francois
core   +1 more source

Fractional time-invariant compartmental linear systems

open access: yesInternational Journal of Applied Mathematics and Computer Science, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

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