LYAPUNOV BASED STABILITY ANALYSIS OF A THREE-TIME SCALE MODEL FOR A HELICOPTER ON A PLATFORM1

An asymptotical stability analysis is conducted using Lyapunov stability methods to construct a composite Lyapunov function candidate in a step-by-step way extending the procedures defined in [Kokotovic et al., 1986] for the two-time-scale singular perturbation problems, to the three-time-scale singular perturbation problem of a Radio/Control helicopter on a platform.