In this paper the problem of local state feed-back stabilization of a class of nonlinear systems with non-minimum phase zero dynamics is considered. In [1] the center manifold approach has been combined with Lyapunov function to provide a new design method for stabilizing systems with zero center non-minimum phase zero dynamics. In this paper the method developed in [1] is applied to the stabilization of systems with oscillatory center non-minimum phase zero dynamics. Some sufficient conditions are obtained. The formula for stabilizing controls is also presented.
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