Open AccessAdaptive Backstepping Method for Stabilizing Systems of Fractional Order Ordinary Differential Equations
Author(s) -
Asad J. Taher,
AUTHOR_ID,
Fadhel S. Fadhel,
Nabaa N. Hasan,
AUTHOR_ID,
AUTHOR_ID
Publication year - 2021
Publication title -
al-nahrain journal of science
Language(s) - English
Resource type - Journals
eISSN - 2663-5461
pISSN - 2663-5453
DOI - 10.22401/anjs.24.4.07
Subject(s) - backstepping , mathematics , ordinary differential equation , lyapunov function , stability (learning theory) , partial differential equation , differential equation , mathematical analysis , control theory (sociology) , nonlinear system , computer science , adaptive control , control (management) , physics , quantum mechanics , machine learning , artificial intelligence
In this paper the method of adaptive backstepping for stabilizing and solving system of ordinary and partial differential equations will be used and applied to investigate and study the stability linear systems of Caputo fractional order ordinary differential equations. The basic idea of this approach is to find a quadratic Lyapunov functions for stabilizing the subsystems.