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 nonlinear systems: modeling, analysis and simulation
I Petráš - 2011 - books.google.com
" Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study
of fractional-order chaotic systems accompanied by Matlab programs for simulating their …
of fractional-order chaotic systems accompanied by Matlab programs for simulating their …
[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 …
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 …
Fractional-order memristor-based Chua's circuit
I Petras - IEEE Transactions on Circuits and Systems II: Express …, 2010 - ieeexplore.ieee.org
This express brief deals with the memristor-based Chua's circuit. For the first time, the
fractional-order model for such system is presented. A numerical solution of the fractional …
fractional-order model for such system is presented. A numerical solution of the fractional …
Control of a fractional-order economical system via sliding mode
This paper deals with designing a sliding mode controller (SMC) for a fractional-order
chaotic financial system. Using the sliding mode control technique, a sliding surface is …
chaotic financial system. Using the sliding mode control technique, a sliding surface is …
[图书][B] Intelligent fractional order systems and control: an introduction
Fractional order calculus is finding increasing interest in the control system community.
Hardware realizations of fractional order controllers have sparked off a renewed zeal into …
Hardware realizations of fractional order controllers have sparked off a renewed zeal into …
Dynamical models of happiness with fractional order
L Song, S Xu, J Yang - … in Nonlinear Science and Numerical Simulation, 2010 - Elsevier
This present study focuses on a dynamical model of happiness described through fractional-
order differential equations. By categorizing people of different personality and different …
order differential equations. By categorizing people of different personality and different …
Using particle swarm optimization and genetic algorithms for optimal control of non-linear fractional-order chaotic system of cancer cells
S Mohammadi, SR Hejazi - Mathematics and Computers in Simulation, 2023 - Elsevier
The purpose of this paper is to investigate optimal control the non-linear fractional-order
chaotic system of cancer cells by use of particle swarm optimization and genetic algorithms …
chaotic system of cancer cells by use of particle swarm optimization and genetic algorithms …
A new predictor–corrector method for fractional differential equations
We present a new predictor–corrector method to solve non-linear fractional differential
equations involving Caputo derivative. The proposed method is compared with the fractional …
equations involving Caputo derivative. The proposed method is compared with the fractional …