Results 21 to 30 of about 20,855,140 (305)
Fractional transformations of generalised functions [PDF]
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
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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]
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
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Parametric Identification of Nonlinear Fractional Hammerstein Models
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
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Fractional power NARX model identification using a harmony search algorithm [PDF]
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
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Optimal design for fractional-order active isolation system
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
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On the output regulation for linear fractional systems
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
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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
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Simulation of fractionally damped mechanical systems by means of a Newmark-diffusive scheme [PDF]
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
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Fractional time-invariant compartmental linear systems
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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