Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: discrete fractional calculus

Sortuj według:

Ogranicz wyniki do:

Different linear control laws for fractional chaotic maps using Lyapunov functional

Almatroud A. Othman, Ouannas Adel, Grassi Giuseppe, Batiha Iqbal M., Gasri Ahlem, Al-sawalha M. Mossa

Archives of Control Sciences

2021

Vol. 31, No. 4

765--780

Dynamics and control of discrete chaotic systems of fractional-order have received considerable attention over the last few years. So far, nonlinear control laws have been mainly used for stabilizing at zero the chaotic dynamics of fractional maps. This article provides a further contribution to such research field by presenting simple linear control laws for stabilizing three fractional chaotic maps in regard to their dynamics. Specifically, a one-dimensional linear control law and a scalar control law are proposed for stabilizing at the origin the chaotic dynamics of the Zeraoulia-Sprott rational map and the Ikeda map, respectively. Additionally, a two-dimensional linear control law is developed to stabilize the chaotic fractional flow map. All the results have been achieved by exploiting new theorems based on the Lyapunov method as well as on the properties of the Caputo h-difference operator. The relevant simulation findings are implemented to confirm the validity of the established linear control scheme.

A New Approach for Modeling with Discrete Fractional Equations

Atıcı F. M., Atıcı M., Belcher M., Marshall D.

Fundamenta Informaticae

2017

Vol. 151, nr 1/4

313--324

In this paper, we introduce a new class of nonlinear discrete fractional equations to model tumor growth rates in mice. For the data fitting purpose, we develop a new method which can be considered as an improved version of the partial sum method for parameter estimations. We demonstrate the goodness of fit by comparing the models with three statistical measures.