Results 11 to 20 of about 20,855,140 (305)

Input-output linearization and fractional robust control of anon-linear system [PDF]

open access: yes2001 European Control Conference (ECC), 2001
This article deals with the association of a linear robust controller and an input-output linearization feedback for the control of a perturbed and non-linear system. This technique is applied to the control of a hydraulic system whose actuator is non-linear and whose load is time-variant.
Pommier-Budinger, Valérie   +3 more
openaire   +4 more sources

Fractional calculus of periodic distributions [PDF]

open access: yes, 2011
Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson   +5 more
core   +3 more sources

Stabilization and asymptotic stability of the Caputo–Fabrizio fractional-order linear and semilinear evolution equations

open access: yesFranklin Open, 2023
We discuss the asymptotic stability of the fractional-order linear and semilinear evolution equations involving a Caputo–Fabrizio fractional derivative for fractional-order α∈(0,1) with a non-singular kernel.
Matap Shankar, Swaroop Nandan Bora
doaj   +1 more source

A Fractional Linear System View of the Fractional Brownian Motion [PDF]

open access: yesNonlinear Dynamics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ortigueira, Manuel Duarte   +1 more
openaire   +1 more source

Flatness for linear fractional systems with application to a thermal system [PDF]

open access: yesAutomatica, 2015
This paper is devoted to the study of the flatness property of linear time-invariant fractional systems. In the framework of polynomial matrices of the fractional derivative operator, we give a characterization of fractionally flat outputs and a simple algorithm to compute them.
Victor, Stéphane   +3 more
openaire   +5 more sources

Exact Solution of Linear System of Fractional Differential Equations with Constant Coefficients

open access: yes, 2022
: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional derivative, the exact solution of linear system of fractional differential equations with constant coefficients is obtained.
Chii-Huei Yu
core   +1 more source

Suboptimal control law for a multi fractional high order linear quadratic regulator system in the presence of disturbance

open access: yesResults in Control and Optimization, 2023
A new method for finding a suboptimal control law for a multi fractional spring–mass system as a fractional high order linear quadratic regulator system in the presence of known disturbance is introduced.
Iman Malmir
doaj   +1 more source

Application of Fractional Laplace Transform Method in Solving Linear Systems of Fractional Differential Equations

open access: yes, 2022
: Based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, this paper provides several examples to illustrate how to use fractional Laplace transform to find the solution of linear system of fractional differential equations.
Chii-Huei Yu
core   +1 more source

Existence of Absolutely Continuous Fundamental Matrix of Linear Fractional System with Distributed Delays

open access: yesMathematics, 2021
The goal of the present paper is to obtain sufficient conditions that guaranty the existence and uniqueness of an absolutely continuous fundamental matrix for a retarded linear fractional differential system with Caputo type derivatives and distributed ...
Hristo Kiskinov   +3 more
doaj   +1 more source

Solutions of Fractional Differential Type Equations by Fixed Point Techniques for Multivalued Contractions

open access: yesComplexity, 2021
This paper involves extended b−metric versions of a fractional differential equation, a system of fractional differential equations and two-dimensional (2D) linear Fredholm integral equations. By various given hypotheses, exciting results are established
Hasanen A. Hammad   +2 more
doaj   +1 more source

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