On the synchronization and stabilization of fractional-order chaotic systems: Recent advances and future perspectives

MA Balootaki, H Rahmani, H Moeinkhah… - Physica A: Statistical …, 2020 - Elsevier
Chaos is one of the most significant findings in physics and engineering. Fractional-order
chaotic systems are nonlinear systems with special features which, some of them include …

Fourier-based type-2 fuzzy neural network: Simple and effective for high dimensional problems

A Mohammadzadeh, C Zhang, KA Alattas… - Neurocomputing, 2023 - Elsevier
The main contribution of this study is to introduce a simple and effective deep learning
Fourier-based type-2 fuzzy neural network for high-dimensional problems. The rules are …

Finite-time stability of fractional-order fuzzy cellular neural networks with time delays

F Du, JG Lu - Fuzzy Sets and Systems, 2022 - Elsevier
The finite-time stability of fractional-order fuzzy cellular neural networks with time delays is
investigated. One of the difficulties in stability analysis of fractional-order delayed systems …

Energy management in photovoltaic battery hybrid systems: A novel type-2 fuzzy control

A Mohammadzadeh, S Rathinasamy - International Journal of Hydrogen …, 2020 - Elsevier
In this paper, a new robust fuzzy control approach is presented to power management in the
photovoltaic (PV)-battery hybrid system. The stability and robustness of the developed …

A chaotic secure communication scheme based on synchronization of double-layered and multiple complex networks

L Zhou, F Tan - Nonlinear Dynamics, 2019 - Springer
In this paper, we mainly propose a chaotic secure communication scheme which is based
on the synchronization of double-layered and multiple complex dynamical networks …

Exponential stability and synchronization of memristor-based fractional-order fuzzy cellular neural networks with multiple delays

X Yao, X Liu, S Zhong - Neurocomputing, 2021 - Elsevier
The stability and synchronization problems are addressed in this study for the memristor-
based fractional-order fuzzy cellular neural networks with multiple delays. By using the …

FPGA implementation of the fractional order integrator/differentiator: Two approaches and applications

MF Tolba, LA Said, AH Madian… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Exploring the use of fractional calculus is essential for it to be used properly in various
applications. Implementing the fractional operator D α in FPGA is an important research …

An improved criterion on finite-time stability for fractional-order fuzzy cellular neural networks involving leakage and discrete delays

Z Yang, J Zhang, Z Zhang, J Mei - Mathematics and Computers in …, 2023 - Elsevier
This paper concentrates on the finite-time stability (FTS) for fractional-order fuzzy cellular
neural networks involving leakage and discrete delays. We propose a method to develop a …

Fractional order integrator/differentiator: FPGA implementation and FOPID controller application

MF Tolba, BADM AboAlNaga, LA Said… - … -International Journal of …, 2019 - Elsevier
This paper introduces two FPGA based design approaches of the fractional order integrator
and differentiator using Grünwald Letnikov (GL) definition where fixed window and linear …

Robust fuzzy control for fractional-order systems with estimated fraction-order

MH Sabzalian, A Mohammadzadeh, S Lin… - Nonlinear Dynamics, 2019 - Springer
In this paper, a fuzzy control method is proposed for a class of fractional-order chaotic
systems. The dynamics of the system are unknown and are perturbed by the external …