Stability Analysis of Meshcherskii’s Equation of Dynamic System with Variable Mass

Abstract

In this research report asymptotic stability of Meshcherskii equation of dynamic system with variable mass is investigated. The Lyapunov function method of stability analysis is employed. The model of the system is considered and stability is investigated for different given trajectories. A Lyapunov function is constructed and asymptotic stability using the function is proved. Moreover, the practical applicability of the result is demonstrated by simulation using MATLAB. The result of the simulation shows an excellent conformity with the theoretical proof made in ascertaining asymptotic stability.