Open AccessOn the Analysis of Damped Gyroscopic Systems Using Lyapunov Direct Method
Author(s) -
Ubong D. Akpan
Publication year - 2021
Publication title -
journal of advances in mathematics and computer science
Language(s) - English
Resource type - Journals
ISSN - 2456-9968
DOI - 10.9734/jamcs/2021/v36i630372
Subject(s) - gyroscope , stability (learning theory) , lyapunov function , homogeneous , control theory (sociology) , work (physics) , mathematics , lyapunov equation , physics , computer science , nonlinear system , thermodynamics , control (management) , quantum mechanics , machine learning , combinatorics , artificial intelligence
In this work, the stability properties of damped gyroscopic systems have been studied using Lyapunov direct method. These systems are generally stable because of the presence of gyroscopic effect. Conditions for determining the stability of the damped gyroscopic systems have been developed. Solution bounds of amplitude and velocity have been obtained for both homogeneous and inhomogeneous cases. An example is given to show how the stability conditions are applied to systems to determine its stability status.