Consider the rail vehicle dynamic models with uncertain parameters and
nonlinear uncertainties. Using the Lyapunov stability theory and employing the special
properties of matrices, a lateral stability criterion for the system is derived. The robust
stability bounds obtained are not necessarily symmetric with respect to the origin in the
parameter space, and can significantly enlarge the stability region for the uncertain
parameters. The robust stability of a rail vehicle wheelset subjected to uncertain
suspension is analyzed by using the proposed approach, and the results obtained in this
paper are compared with existing ones.