TY - JFULL AU - Ping He PY - 2011/4/ TI - Partial Stabilization of a Class of Nonlinear Systems Via Center Manifold Theory T2 - International Journal of Electrical and Computer Engineering SP - 278 EP - 291 VL - 5 SN - 1307-6892 UR - https://publications.waset.org/pdf/580 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 51, 2011 N2 - This paper addresses the problem of the partial state feedback stabilization of a class of nonlinear systems. In order to stabilization this class systems, the especial place of this paper is to reverse designing the state feedback control law from the method of judging system stability with the center manifold theory. First of all, the center manifold theory is applied to discuss the stabilization sufficient condition and design the stabilizing state control laws for a class of nonlinear. Secondly, the problem of partial stabilization for a class of plane nonlinear system is discuss using the lyapunov second method and the center manifold theory. Thirdly, we investigate specially the problem of the stabilization for a class of homogenous plane nonlinear systems, a class of nonlinear with dual-zero eigenvalues and a class of nonlinear with zero-center using the method of lyapunov function with homogenous derivative, specifically. At the end of this paper, some examples and simulation results are given show that the approach of this paper to this class of nonlinear system is effective and convenient. ER -