Review of fractional PID controller

P Shah, S Agashe - Mechatronics, 2016 - Elsevier
Fractional calculus has been studied for over three centuries, and it has multifarious
applications in science and engineering. This review investigates its progress since the first …

Importance of genetic diversity assessment in crop plants and its recent advances: an overview of its analytical perspectives

M Govindaraj, M Vetriventhan… - Genetics research …, 2015 - Wiley Online Library
The importance of plant genetic diversity (PGD) is now being recognized as a specific area
since exploding population with urbanization and decreasing cultivable lands are the critical …

[图书][B] Fractional order systems: modeling and control applications

R Caponetto, G Dongola, L Fortuna, I Petras - 2010 - books.google.com
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 …

A survey on the stability of fractional differential equations: Dedicated to Prof. YS Chen on the Occasion of his 80th Birthday

CP Li, FR Zhang - The European Physical Journal Special Topics, 2011 - Springer
Recently, fractional calculus has attracted much attention since it plays an important role in
many fields of science and engineering. Especially, the study on stability of fractional …

[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 …

Optimal parameter design of fractional order control based INC-MPPT for PV system

M Al-Dhaifallah, AM Nassef, H Rezk, KS Nisar - Solar Energy, 2018 - Elsevier
A comprehensive and straightforward methodology for optimal parameter design of
Fractional Order control based Incremental Conductance (FOINC)-Maximum Power Point …

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 …

A review of the digital implementation of continuous-time fractional-order chaotic systems using FPGAs and embedded hardware

D Clemente-López, JM Munoz-Pacheco… - … Methods in Engineering, 2023 - Springer
The hallmark of fractional-order derivatives is a memory kernel to describe real-world
phenomena with a better approximation than classical calculus. In fractional-order chaotic …

Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control

XY Wang, JM Song - Communications in Nonlinear Science and Numerical …, 2009 - Elsevier
Based on the stability theory of fractional order systems, this paper analyses the
synchronization conditions of the fractional order chaotic systems with activation feedback …

[HTML][HTML] Analytic study on linear systems of fractional differential equations

ZM Odibat - Computers & Mathematics with Applications, 2010 - Elsevier
An analytic study on linear systems of fractional differential equations with constant
coefficients is presented. We briefly describe the issues of existence, uniqueness and …