Certain classes of essentially nonlinear switched mechanical systems with one degree of freedom are investigated. The conditions are obtained under which, for the families of subsystems corresponding to switched systems, there exist common Lyapunov functions of the prescribed form. The fulfilment of these conditions provides the asymptotic stability of equilibrium positions of switched systems ...

We study the stability of an equilibrium arbitrarily switched, autonomous, continuous-time systems through computation a common Lyapunov function (CLF). The switching occurs between finite number individual subsystems, each which is assumed to be linear. present linear programming (LP) based approach compute continuous and piecewise affine (CPA) CLF compare this with different methods in litera...