Stability of fractional order systems
M Rivero, SV Rogosin… - Mathematical …, 2013 - Wiley Online Library
The theory and applications of fractional calculus (FC) had a considerable progress during
the last years. Dynamical systems and control are one of the most active areas, and several …
the last years. Dynamical systems and control are one of the most active areas, and several …
[图书][B] Fractional order systems: modeling and control applications
This book aims to propose the implementation and application of Fractional Order Systems
(FOS). It is well known that FOS can be utilized in control applications and systems …
(FOS). It is well known that FOS can be utilized in control applications and systems …
Fractional-order circuits and systems: An emerging interdisciplinary research area
AS Elwakil - IEEE Circuits and Systems Magazine, 2010 - ieeexplore.ieee.org
A recent article published in this magazine has labeled fractional-order continuous-time
systems as the" 21st century systems". Indeed, this emerging research area is slowly gaining …
systems as the" 21st century systems". Indeed, this emerging research area is slowly gaining …
[图书][B] Discrete fractional calculus: applications in control and image processing
P Ostalczyk - 2015 - books.google.com
The main subject of the monograph is the fractional calculus in the discrete version. The
volume is divided into three main parts. Part one contains a theoretical introduction to the …
volume is divided into three main parts. Part one contains a theoretical introduction to the …
Fractional order systems in industrial automation—A survey
MÖ Efe - IEEE Transactions on Industrial Informatics, 2011 - ieeexplore.ieee.org
This paper describes an emerging tool for industry: fractional order systems. Conventional
understanding of the notion of derivative and integral uses integer orders and our sense is …
understanding of the notion of derivative and integral uses integer orders and our sense is …
Stability of fractional-order systems
I Petráš, I Petráš - … -Order Nonlinear Systems: Modeling, Analysis and …, 2011 - Springer
Stability as an extremely important property of dynamical systems can be investigated in
various domains (Bellman, 1953; Dorf and Bishop, 1990). The usual concept of the bounded …
various domains (Bellman, 1953; Dorf and Bishop, 1990). The usual concept of the bounded …
[PDF][PDF] Application of fractional order calculus to control theory
R Matušů - International journal of mathematical models and …, 2011 - researchgate.net
The principal goal of this paper is to introduce the fundamentals of the Fractional Order
Calculus (FOC), outline its possible application to the field of analysis and synthesis of …
Calculus (FOC), outline its possible application to the field of analysis and synthesis of …
Fractional-order chaotic systems
I Petráš, I Petráš - Fractional-order nonlinear systems: modeling, analysis …, 2011 - Springer
In general, a nonlinear system is a system which is not linear, that is, a system which does
not satisfy the superposition principle. In mathematics, a nonlinear system is any problem …
not satisfy the superposition principle. In mathematics, a nonlinear system is any problem …
Order diminution of LTI systems using modified big bang big crunch algorithm and Pade approximation with fractional order controller design
In this paper, a novel approach is proposed for the reduced order modelling of linear time
invariant (LTI) systems. The proposed approach is a combination of modified Big bang big …
invariant (LTI) systems. The proposed approach is a combination of modified Big bang big …
Design and implementation of DDCC-based fractional-order oscillator
ABSTRACT A differential difference current conveyor (DDCC)-based fractional-order
sinusoidal oscillator is presented. In this work, the condition of oscillation and the oscillation …
sinusoidal oscillator is presented. In this work, the condition of oscillation and the oscillation …