The Robust Stabilization Of A Class Of Nonlinear Systems

In this paper, we study the Robust Stabilization of nonlinear systems. Firstly , we consider a class of stabilization problem of multi-input Polytopic nonlinear systems . A sufficient condition is given and a feedback control law for the systems is construted by using RCLF and space partition methods.secondly ,For a class of cascade-connected time-delay nonlinear systems ,we give a sufficient condition by using the Changing Supply Rate and Nussbaum Gain technique .Furthermore ,a controller which globally stabilize the systems is contracted by using recursive design. Finally , we design the relative controller which can make the closed loop global stable by Using KYP lemma and Razumikhin-type Stability Theorem for a class of discrete time-delay nonlinear systems.