Adaptive state feedback control of exponentially practical stability for uncertain systems

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.