Control and synchronization of Julia sets of discrete fractional Ising models

X Lu, W Sun - Chaos, Solitons & Fractals, 2024 - Elsevier
The discrete fractional complex dynamic system generated by the renormalization
transformation corresponding to Ising model on a two-dimensional equilateral triangular …

A new approach for direct discretization of fractional order operator in delta domain

SK Dolai, A Mondal, P Sarkar - Facta Universitatis, Series …, 2022 - casopisi.junis.ni.ac.rs
The fractional order system (FOS) comprises fractional order operator. In order to obtain the
discretized version of the fractional order system, the first step is to discretize the fractional …

Discretization of Fractional Order Operator in Delta Domain

SK Dolai, A Mondal, P Sarkar - … University Journal of Science Part A …, 2022 - dergipark.org.tr
The fractional order operator is the backbone of the fractional order system (FOS). The
fractional order operator (FOO) is generally represented as s^(±μ)(0< μ< 1). Discrete time …

Hidden attractors in fractional-order discrete maps

V Varshney, SL Kingston, S Srinivasan… - The European Physical …, 2024 - Springer
This study investigates the hidden dynamics of fractional-order discrete two-dimensional
maps, focusing on the generation of hidden attractors and the impact of order on their size …

Design and implementation of digital controller in delta domain for buck converter

A Biswas, A Mondal, P Sarkar - Facta Universitatis, Series …, 2023 - casopisi.junis.ni.ac.rs
This paper presents the design and implementation of a discrete-time controller for a DC-DC
Buck converter in the complex delta domain. Whenever any continuous-time system is …

Reduced order modeling of delta operator systems by optimal frequency fitting approach

A Mondal, S Ganguli, P Sarkar - IFAC Journal of Systems and Control, 2024 - Elsevier
The delta operator modeling provides a unified framework for both continuous-time and
discrete-time modeling in system theory. At high sampling rate, the shift operator fails to …

A generalized feedback control model for the logistic differential equation

MT Hoang - International Journal of Dynamics and Control, 2023 - Springer
In this work, we introduce and study a new and generalized feedback control model for the
logistic differential equation. Dynamical qualitative properties of the feedback control model …

[PDF][PDF] IFAC Journal of Systems and Control

A Mondal, S Ganguli, P Sarkar - 2024 - srv15-bcrec.in
abstract The delta operator modeling provides a unified framework for both continuous-time
and discretetime modeling in system theory. At high sampling rate, the shift operator fails to …

A Unified Approach for Realization of IIR Filters in Delta Domain

P Sarkar, A Mondal, SK Dolai - 2022 IEEE International …, 2022 - ieeexplore.ieee.org
In this paper, digital realization of IIR filters is concentrated in discrete delta domain.
Whenever, a continuous time filter is discretised at fast sampling rate, corresponding …