Stability analysis of hybrid mechanical systems with switched nonlinear nonhomogeneous positional forces

Mechanical systems with linear gyroscopic forces, nonlinear homogeneous dissipative forces and switched nonlinear nonhomogeneous positional forces are studied. Using the decomposition method, conditions are found providing the asymptotic stability of equilibrium positions of the considered systems for an arbitrary admissible switching law. On the basis of the obtained results, new approaches to stabilization of nonlinear switched mechanical systems are proposed.