Global stabilization of non-globally linearizable triangular systems: Application to transient stability of power systems

A general methodology to globally stabilize an equilibrium of a class of non-globally linearizable triangular systems is presented. The technique is applicable to all triangular systems described by analytic vector fields. The method is used to give an explicit solution to the challenging problem of transient stability of multimachine power systems with leaky transmission lines, for which only existence results are currently available.