Abstract: By applying the exact linearization method, this paper studies the stabilization problem of a class of nonlinear systems with uncertainty both in their executors and in their models. First, the original affine nonlinear system is transformed into Lurie's indirect system with uncertain parameter, Lurie's method is then used to deal with the stabilization problem. In this paper, Lurie's theory is made available in case of nonlinearity and uncertainty of parameters.

Key words: exact linearization, stabilization, uncertain nonlinear system, parameter variable Lurie'e system