On the Analysis of Damped Gyroscopic Systems Using Lyapunov Direct Method
Ubong D. Akpan *
Department of Mathematics, Akwa Ibom State University, Mkpat Enin, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Asymptotic stability, damped gyroscopic systems, stability, solution bounds