This work is concerned with the problem of estimating the asymptotic stability region and sliding domain of uncertain variable structure systems with bounded controllers. The properties of the decoupling theorem and strictly positive real function are used to incorporate with the Lyapunov stability to estimate the stability region and the attractive region of the sliding mode. It will be shown that the special state transformation used in previous work is no longer needed. Obviously, our result is directly related to the original system states. Copyright (C) 1996 Elsevier Science Ltd.
