In this paper, the effects of circulatory forces on undamped gyroscopic systems have been studied. The stability or otherwise of arising MGKN systems have been analysed using eigenvalue method and Lyapunov method. Bottema-Lakhadanov-Karapetyan theorem is also employed to further...
Open access
Research Article10.9734/arjom/2021/v17i530302
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...
Open access
Research Article10.9734/jamcs/2021/v36i630372
In this paper, the stability of non-integer differential system is studied using Riemann-Liouville and Caputo derivatives. The stability notion for determining the stability/asymptotic stability or otherwise fractional differential system is given. Example is provided to demonstr...
Open access
Research Article10.9734/arjom/2021/v17i530301
In this work, the effect of perturbation on linear fractional differential system is studied. The analysis is done using Riemann-Liouville derivative and the conclusion extended to using Caputo derivative since the result is similar. Conditions for determining the stability and a...
Open access
Research Article10.9734/jamcs/2021/v36i630370
In this work, we study linear systems with Mass, Damping Force, Gyroscopic Force, Stiffness and Circulatory Force (MDGKN systems) with control parameters. The relationship between the parameters determines the stability or otherwise of the system. The Lyapunov direct method is us...
Open access
Research Article10.9734/JAMCS/2017/35326
In this work, we develop a stability theorem for determining the stability or otherwise of a gyroscopic system. A Lyapunov function is obtained by solving the arising Lyapunov matrix equation. The Lyapunov function is then used to obtain response bounds for displacements and velo...
Open access
Research Article10.9734/ARJOM/2017/34602