Dynamics exploration for a fractional-order delayed zooplankton–phytoplankton system

P Li, R Gao, C Xu, Y Li, A Akgül, D Baleanu - Chaos, Solitons & Fractals, 2023 - Elsevier
In this study, we are concerned with the dynamics of a new established fractional-order
delayed zooplankton–phytoplankton system. The existence and uniqueness of the solution …

Adaptive neural control of non‐linear fractional order multi‐agent systems in the presence of error constraints and input saturation

F Mohammadzamani, M Hashemi… - IET Control Theory & …, 2022 - Wiley Online Library
This paper presents a tracking control problem for fractional order multi‐agent systems in the
presence of uncertainties. The study takes into account the problems of error constraints …

Coexisting attractors in a fractional order hydro turbine governing system and fuzzy PID based chaos control

K Rajagopal, H Jahanshahi, S Jafari… - Asian Journal of …, 2021 - Wiley Online Library
ABSTRACT A fractional order model of a hydro turbine governing system (FOHTGS) is
derived using the Grunwald‐Letnikov's (GL) method. This model is developed using its …

Simplest megastable chaotic oscillator

S Jafari, K Rajagopal, T Hayat, A Alsaedi… - International Journal of …, 2019 - World Scientific
Recently, chaotic systems with hidden attractors and multistability have been of great
interest in the field of chaos and nonlinear dynamics. Two special categories of systems with …

A review on FPGA implementation of fractional-order systems and PID controllers

A Ali, K Bingi, R Ibrahim, PAM Devan… - AEU-International Journal …, 2024 - Elsevier
Fractional-order systems and controls utilize concepts from fractional calculus for modelling,
control designs, and practical applications. However, it can be challenging to transform …

Coexistence of attractors in a simple chaotic oscillator with fractional-order-memristor component: analysis, FPGA implementation, chaos control and synchronization

K Rajagopal, ST Kingni, AJM Khalaf… - The European Physical …, 2019 - Springer
In this paper, the simplest chaotic oscillator with fractional-order-memristor component
(SCOF) is proposed. Dynamical characteristics of the proposed chaotic oscillator are …

Multiscroll chaotic system with sigmoid nonlinearity and its fractional order form with synchronization application

K Rajagopal, A Durdu, S Jafari, Y Uyaroglu… - International Journal of …, 2019 - Elsevier
In this paper, a multiscroll snap oscillator with hyperbolic tangent function is proposed. There
is no limitation in the number of scrolls and it can be increased by proper choice of a specific …

Numerical simulations and FPGA implementations of fractional-order systems based on product integration rules

AM Abdelaty, M Roshdy, LA Said, AG Radwan - IEEE Access, 2020 - ieeexplore.ieee.org
Product integration (PI) rules are well known numerical techniques that are used to solve
differential equations of integer and, recently, fractional orders. Due to the high memory …

Stability and stabilization of fractional‐order systems with different derivative orders: An LMI approach

P Badri, M Sojoodi - Asian Journal of Control, 2019 - Wiley Online Library
Stability and stabilization analysis of fractional‐order linear time‐invariant (FO‐LTI) systems
with different derivative orders is studied in this paper. First, by using an appropriate linear …

A novel 5D chaotic system with extreme multi-stability and a line of equilibrium and its engineering applications: circuit design and FPGA implementation

A Ahmadi, K Rajagopal, FE Alsaadi, VT Pham… - Iranian Journal of …, 2020 - Springer
Extreme multi-stability is a newly introduced property observed in nonlinear dynamical
systems. Such systems have very rich dynamical solutions depending on both parameters …