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The problem of adaptive state feedback exponentially practically stabilizing a class of time-varying systems with uncertainty and disturbance is considered. The conditions of state feedback exponentially practically stabilizing systems are given. The uncertainties of the systems satisfy the so-called matching condition. They can be nonlinear or time-varying. The bounds of the uncertainty exist, but are unknown. A kind of certain nonlinear controller, which can guarantee that the states of the systems exponentially converge to the equilibrium's nearly region, which is named in advance in limited time, is designed. The simulation shows the validity of the result.