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Initialization in fractional order systems

2001 European Control Conference (ECC), 2001
This paper proves the requirement of a time-varying initialization for fractional differential equations. This then requires a new definition for the fractional differintegral that includes the initialization and a new form of the Laplace transform of the fractional differintegral. An initialized fractional system theory is developed.
Carl F. Lorenzo, Tom T. Hartley
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Linear estimator for fractional systems

Signal, Image and Video Processing, 2012
We address the issue of state estimation of nonlinear incommensurate fractional-order systems via linear observer in this paper. The basic idea is proposed under a synchronization framework which makes the response system a linear observer for the state of the drive system.
Danial Mohammadi Senejohnny   +1 more
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Continued fractions as dynamical systems

Applied Mathematics and Computation, 2012
In the paper under review, the authors study a dynamical systems approach to continued fractions. It is well-known that there is an interpretation of the continued fraction expansion process as a discrete two-dimensional dynamical system. On the contrary, in the present paper the authors study a new three-dimensional dynamical system which can be used ...
Felice Iavernaro, Donato Trigiante
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The Recombination Fraction of the HL‐A System

Tissue Antigens, 1971
By collecting all the family material available in the seven Danish, Norwegian, and Swedish centres typing for Scandiatransplant, we found 309 families which yielded information on linkage between the first and second segregant series of the HL‐A transplantation system.
A, Svejgaard   +13 more
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Variable order fractional systems

Communications in Nonlinear Science and Numerical Simulation, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manuel Duarte Ortigueira   +2 more
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Fractional Calculus and Fractional-Order Systems

2018
In this section, several important functions of fractional calculus, the definition of the fractional integral, three main fractional derivatives, and some important lemmas are introduced, which will be used throughout the book.
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Fractional-order memristive systems

2009 IEEE Conference on Emerging Technologies & Factory Automation, 2009
This paper deals with the concept of (integer-order) memristive systems, which are generalized to non-integer order case using fractional calculus. We consider the memory effect of the fractional inductor (fractductor), fractional capacitor and fractional memristor.
Ivo Petrás   +2 more
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Fundamentals of Fractional Calculus and Fractional Dynamical Systems

2020
In this chapter, the most important mathematical tools related to fractional calculus are presented. Besides, it is presented an introduction to the theory of dynamical systems with dynamical equations that present fractional-order integrals and derivatives, as well as some fractional-order controllers that have been proposed, and some stability ...
Rafael Martínez-Guerra   +2 more
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Electron destruction in a fractionized system

Physical Review B, 1990
Plusieurs techniques experimentales telles que la photoemission, la diffusion Compton, l'annihilation des positons, utilisent l'excitation ou la destruction d'un electron pour mesurer la distribution des quantites de mouvement (ħk) des electrons. La structure de ces distributions des quantites de mouvement qui resulte de la surface de Fermi d'un ...
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A NEURAL FRACTIONATING AND COMBINING SYSTEM

Archives of Neurology And Psychiatry, 1954
AMOBARBITAL, like other anesthetics, is usually thought of as causing people to speak "irrational nonsense." However, study shows that the verbal material produced under this drug is just as systematized as any other product of neural activity and can be as readily classified. It is thought that our knowledge of the physiology of mentation might profit
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