Chang-Zhong Chen1, Tao Fan1,Bang-Rong Wang, Dong-Ming Xie and Ping He

The problem of global stabilization for a class of nonlinear system is considered in this paper.The sufficient condition of the global stabilization of this class of system is obtained by deducing thestabilization of itself from the stabilization of its subsystems. This paper will come up with a designmethod of state feedback control law to make this class of nonlinear system stable, and indicate the efficiency of the conclusion of this paper via a series of examples and simulations at the end. Theresults presented in this paper improve and generalize the corresponding results of recent works.

Nonlinear systems; Reduced-order control; Global stabilization.