On the stability and ultimate boundedness of motions of a class of nonlinear mechanical systems

摘要

A nonlinear mechanical system with nonconservative forces, two-component homogeneous potential forces and control forces of a special form is considered. On the basis of the Lyapunov functions method, several theorems that provide sufficient conditions of asymptotic stability of system's equilibrium position and sufficient conditions of ultimate boundedness of its solutions are proved.